Competitive sorption and desorption of phosphate and citrate in clayey and sandy loam soils

The increase of organic acids in soils can reduce phosphorus sorption. The objective of the study was to evaluate the competitive sorption of P and citrate in clayey and sandy loam soils, using a stirred-flow system. Three experiments were performed with soil samples (0-20 cm layer) of clayey (RYL-cl) and sandy loam (RYL-sl) Red Yellow Latosols (Oxisols). In the first study, the treatments were arranged in a 2 × 5 factorial design, with two soil types and five combinations of phosphorus and citrate application (only P; P + citrate; and citrate applied 7, 22, 52 min before P); in the second, the treatments were arranged in a 2 × 2 factorial design, corresponding to two soils and two forms of P and citrate application (only citrate and citrate + P); and in the third study, the treatments in a 2 × 2 × 6 factorial design consisted of two soils, two extractors (citrate and water) and six incubation times. In the RYL-cl and RYL-sl, P sorption was highest (44 and 25 % of P application, respectively), in the absence of citrate application. Under citrate application, P sorption was reduced in all treatments. The combined application of citrate and P reduced P sorption to 25.8 % of the initially applied P in RYL-cl and to 16.7 % in RYL-sl, in comparison to P without citrate. Citrate sorption in RYL-cl and RYL-sl was highest in the absence of P application, corresponding to 32.0 and 30.2 % of the citrate applied, respectively. With P application, citrate sorption was reduced to 26.4 and 19.7 % of the initially applied citrate in RYL-cl and RYL-sl, respectively. Phosphorus desorption was greater when citrate was used. Phosphorus desorption with citrate and water was higher in the beginning (until 24 h of incubation of P) in RYL-cl and RYL-sl, indicating a rapid initial phase, followed by a slow release phase. This suggests that according to the contact time of P with the soil colloids, the previously adsorbed P can be released to the soil solution in the presence of competing ligands such as citrate. In conclusion, a soil management with continuous input of organic acids is desirable, in view of their potential to compete for P sorption sites, especially in rather weathered soils.

Dark energy equation of state and anthropic selection

We explore the possibility that the dark energy is due to a potential of a scalar field and that the magnitude and the slope of this potential in our part of the Universe are largely determined by anthropic selection effects. We find that, in some models, the most probable values of the slope are very small, implying that the dark energy density stays constant to very high accuracy throughout cosmological evolution. In other models, however, the most probable values of the slope are such that the slow roll condition is only marginally satisfied, leading to a recollapse of the local universe on a time scale comparable to the lifetime of the Sun. In the latter case, the effective equation of state varies appreciably with the redshift, leading to a number of testable predictions.

Statistical description of rotating Kaluza-Klein black holes

We extend the recent microscopic analysis of extremal dyonic Kaluza-Klein (D0-D6) black holes to cover the regime of fast rotation in addition to slow rotation. Fastly rotating black holes, in contrast to slow ones, have nonzero angular velocity and possess ergospheres, so they are more similar to the Kerr black hole. The D-brane model reproduces their entropy exactly, but the mass gets renormalized from weak to strong coupling, in agreement with recent macroscopic analyses of rotating attractors. We discuss how the existence of the ergosphere and superradiance manifest themselves within the microscopic model. In addition, we show in full generality how Myers-Perry black holes are obtained as a limit of Kaluza-Klein black holes, and discuss the slow and fast rotation regimes and superradiance in this context.

Classical cross sections for relativistic spinning particles

We propose a definition of classical differential cross sections for particles with essentially nonplanar orbits, such as spinning ones. We give also a method for its computation. The calculations are carried out explicitly for electromagnetic, gravitational, and short-range scalar interactions up to the linear terms in the slow-motion approximation. The contribution of the spin-spin terms is found to be at best 10-6 times the post-Newtonian ones for the gravitational interaction.

Glassiness in a model without energy barriers

We propose a microscopic model without energy barriers in order to explain some generic features observed in structural glasses. The statics can be exactly solved while the dynamics has been clarified using Monte Carlo calculations. Although the model has no thermodynamic transition, it captures some of the essential features of real glasses, i.e., extremely slow relaxation, time dependent hysteresis effects, anomalous increase of the relaxation time, and aging. This suggests that the effect of entropy barriers can be an important ingredient to account for the behavior observed in real glasses.

Diagnosis and treatment of follicular lymphoma.

Follicular lymphoma is a slow-growing disease exhibiting a heterogeneous clinical course, with a subset of patients experiencing a rapid disease course in the first two years and some developing disease transformation to a more aggressive phenotype. The advent of highly effective therapies has resulted in an increasing number of patients who achieve long-term progression-free survival alongside a good quality of life. Monoclonal antibodies, such as rituximab, either alone or in combination with chemotherapy regimens or radioimmunotherapy have been used with significant improvements in outcome. New treatment strategies such as new antibodies, biologic agents or vaccination therapy are also under investigation for the treatment of relapsed or refractory disease, further expanding the available options for patients and physicians alike. This article presents an overview of the current therapeutic strategies for the management of follicular lymphoma, focusing on the issues encountered in clinical practice.

Diabetes mellitus and vascular lesions.

Cardiovascular complications represent by far the most severe manifestations of diabetes mellitus. Treatment aimed at stopping progression of vascular lesions may fall short if initiated when the disease becomes clinically evident. Therefore, identification of the earliest vascular disfunctions may offer the best opportunity to interfere with pathogenic mechanisms and avoid progression of diabetic vasculopathy. In this report, we present a few mechanisms that alter hemodynamic and metabolic homeostasis in the course of diabetes mellitus. Endothelial function with special emphasis on nitric oxide and oxidative stress, advanced glycation end products, and the renin angiotensin system are briefly discussed. New pharmacological agents that may favorably influence these parameters are presently undergoing clinical trials. However, tight control of plasma glucose and cardiovascular risk factors represent the cornerstone of the treatment in diabetes to slow progression of vascular disease.

Aggregate stability by the "high energy moisture characteristic" method in an oxisol under differentiated management

Studies testing the High Energy Moisture Characteristic (HEMC) technique in tropical soils are still incipient. By this method, the effects of different management systems can be evaluated. This study investigated the aggregation state of an Oxisol under coffee with Brachiaria between crop rows and surface-applied gypsum rates using HEMC. Soil in an experimental area in the Upper São Francisco region, Minas Gerais, was studied at depths of 0.05 and 0.20 m in coffee rows. The treatments consisted of 0, 7, and 28 Mg ha-1 of agricultural gypsum rates distributed on the soil surface of the coffee rows, between which Brachiaria was grown and periodically cut, and compared with a treatment without Brachiaria between coffee rows and no gypsum application. To determine the aggregation state using the HEMC method, soil aggregates were placed in a Büchner funnel (500 mL) and wetted using a peristaltic pump with a volumetric syringe. The wetting was applied increasingly at two pre-set speeds: slow (2 mm h-1) and fast (100 mm h-1). Once saturated, the aggregates were exposed to a gradually increasing tension by the displacement of a water column (varying from 0 to 30 cm) to obtain the moisture retention curve [M = f (Ψ) ], underlying the calculation of the stability parameters: modal suction, volume of drainable pores (VDP), stability index (slow and fast), VDP ratio, and stability ratio. The HEMC method conferred sensitivity in quantifying the aggregate stability parameters, and independent of whether gypsum was used, the soil managed with Brachiaria between the coffee rows, with regular cuts discharged in the crop row direction, exhibited a decreased susceptibility to disaggregation.

Innervation of putative rapidly adapting mechanoreceptors by calbindin- and calretinin-immunoreactive primary sensory neurons in the rat.

Calbindin and calretinin are two homologous calcium-binding proteins that are expressed by subpopulations of primary sensory neurons. In the present work, we have studied the distribution of the neurons expressing calbindin and calretinin in dorsal root ganglia of the rat and their peripheral projections. Calbindin and calretinin immunoreactivities were expressed by subpopulations of large- and small-sized primary sensory neurons and colocalized in a majority of large-sized ones. The axons emerging from calbindin- or calretinin-immunoreactive neurons innervated muscle spindles, Pacini corpuscles and subepidermal lamellar corpuscles in the glabrous skin, formed palisades of lanceolate endings around hairs and vibrissae, and gave rise to intraepidermal nerve endings in the digital skin. Since most of these afferents are considered as rapidly adapting mechanoreceptors, it is concluded that calbindin- or calretinin-expressing neurons innervate particular mechanoreceptors that display physiological characteristics of rapid adaptation to stimuli.

LAYERED DOUBLE HYDROXIDES: NANOMATERIALS FOR APPLICATIONS IN AGRICULTURE

The current research aims to introduce Layered Double Hydroxides (LDH) as nanomaterials to be used in agriculture, with particular reference to its use as storage and slow release matrix of nutrients and agrochemicals for plant growing. Structural characteristics, main properties, synthesis methods and characterization of LDH were covered in this study. Moreover, some literature data have been reported to demonstrate their potential for storage and slow release of nitrate, phosphate, agrochemicals, besides as being used as adsorbent for the wastewater treatment. This research aims to expand, in near future, the investigation field on these materials, with application in agriculture, increasing the interface between chemistry and agronomy.

Simple model for nonexponential relaxation in complex fluids

The nonexponential relaxation occurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in any time scale becomes apparent in an effective temperature field, which leads to a hierarchy of relaxation times responsible for the slow relaxation phenomena.

The efficacy of pharmacotherapy for decreasing the expansion rate of abdominal aortic aneurysms: a systematic review and meta-analysis.

BACKGROUND: Pharmacotherapy may represent a potential means to limit the expansion rate of abdominal aortic aneurysms (AAAs). Studies evaluating the efficacy of different pharmacological agents to slow down human AAA-expansion rates have been performed, but they have never been systematically reviewed or summarized. METHODS AND FINDINGS: Two independent reviewers identified studies and selected randomized trials and prospective cohort studies comparing the growth rate of AAA in patients with pharmacotherapy vs. no pharmacotherapy. We extracted information on study interventions, baseline characteristics, methodological quality, and AAA growth rate differences (in mm/year). Fourteen prospective studies met eligibility criteria. Five cohort studies raised the possibility of benefit of beta-blockers [pooled growth rate difference: -0.62 mm/year, (95%CI, -1.00 to -0.24)], but this was not confirmed in three beta-blocker RCTs [pooled RCT growth rate difference: -0.05 mm/year (-0.16 to 0.05)]. Statins have been evaluated in two cohort studies that yield a pooled growth rate difference of -2.97 (-5.83 to -0.11). Doxycycline and roxithromycin have been evaluated in two RCTs that suggest possible benefit [pooled RCT growth rate difference: -1.32 mm/year (-2.89 to 0.25)]. Studies assessing NSAIDs, diuretics, calcium channel blockers and ACE inhibitors, meanwhile, did not find statistically significant differences. CONCLUSIONS: Beta-blockers do not appear to significantly reduce the growth rate of AAAs. Statins and other anti-inflammatory agents appear to hold promise for decreasing the expansion rate of AAA, but need further evaluation before definitive recommendations can be made.

Molecular dynamics study of the longitudinal modes in disparate-mass binaryliquid mixtures.

A series of molecular dynamics simulations of simple liquid binary mixtures of soft spheres with disparate-mass particles were carried out to investigate the origin of the marked differences between the dynamic structure factors of some liquid binary mixtures such as the Li0.7Mg0.3 and Li0.8Pb0.2 alloys. It is shown that the facility for observing peaks associated with fast-propagating modes in the partial Li-Li dynamic structure factor of Li0.8Pb0.2 should be mainly attributed to the structure of this alloy, which is characterized by an incipient ABAB ordering as found in molten salts. The longitudinal dispersion relations at intermediate wave vectors obtained from the longitudinal current spectra are very similar for the two alloys and reflect the existence of both fast-and slow-propagating modes of kinetic character associated with light and heavy particles, respectively. The influence of the hardness of the repulsive potential cores as well as the composition of the mixture on the longitudinal collective modes is also discussed.

Evaluation des pratiques d'irrigation, de fertilisation et d'application de pesticides dans l'agriculture périurbaine de Dakar, Sénégal

RESUMEL'agriculture urbaine et périurbalne - nommée ci-après AU - est un thème fort de recherche transversale, au vu des nombreux enjeux économiques, sociaux et environnementaux. L'objectif de cette recherche était de contribuer à une meilleure connaissance des processus de transfert de polluants et du cycle des nutriments à l'échelle locale, afin de déterminer sous quelles conditions l'AU de Dakar peut être pratiquée sans porter atteinte à la santé et à l'environnement.Une approche basée sur l'étude des processus géochimiques dans ie sol jusqu'à la nappe a été choisie, à l'échelle de la parcelle cultivée et à une échelle un peu plus large de la zone périurbaine de Dakar pour déterminer les influences du type d'occupation du sol.L'évaluation des impacts de l'irrigation avec des eaux usées brutes et des eaux de nappe saumâtres sur la qualité des sols (chapitre 2) a montré que l'alcalinité et les teneurs en calcium élevées des eaux saumâtres induisent la précipitation de CaC03 dans l'horizon superficiel du sol. Na remplace consécutivement Ca sur le complexe argilo-humique du sol et les bicarbonates diminuent dans la solution du sol. Le carbone organique dissout (COD) augmente significativement dans la solution du sol et dans la nappe sous-jacente. Malgré l'alcalinité et les teneurs très élevées en calcium des eaux usées, il y a peu de précipitation de CaC03 dans l'horizon superficiel du sol et une faible augmentation du sodium échangeable ESP. La nitrification de l'ammonium des eaux usées (moy 190mg/L à Pikine) produit des protons, qui ne sont plus tamponnés par les bicarbonates exportés hors du profil. Il y a alors une nette baisse de pH des sols irrigués par des eaux usées non traitées. Les sols irrigués par des eaux usées et saumâtres stockent moins de C et Ν que les sols de référence.L'évaluation de l'influence de l'occupation des sols en zone périurbaine sur à la nappe phréatique peu profonde (chapitre 3) a permis de déterminer les traceurs représentatifs de l'occupation du sol, à savoir Br/CI, NO3/CI et δ180-Ν03 pour l'irrigation par des eaux usées, pH et δ15Ν-Ν03 pour l'irrigation par des eaux de nappe, et Rb+Cr et Κ pour les lixiviats de fosses septiques. Ce chapitre a mis en évidence des points importants de la dynamique de l'azote en zone périurbaine sous deux occupations du sol : (1) la dénitrification est un processus important dans l'agrosystème périurbain de Dakar en bas de dune, dans les gleysols où l'on trouve des conditions temporairement réduites et un substrat organique favorables aux microorganismes de la dénitrification. Les teneurs en nitrates sont presque nulles avec irrigation d'eau de nappe. (2) en bas de pente, mais avec irrigation quotidienne par les eaux usées, l'apport continu d'ammonium inhibe probablement la dénitrification, mais favorise la volatilisation. (3) la nitrification de l'ammonium dans la nappe lors de la lixiviation des fosses septiques se distingue de la nitrification de l'ammonium dans la zone non saturée dans la zone d'agriculture périurbaine par la composition isotopique de l'oxygène de l'eau. Une comparaison des flux d'azote entre l'agrosystème et les quartiers périurbains de Dakar (chapitre 4) ont révélé que ces derniers étaient du même ordre de grandeur par unité de surface, à savoir 2-4 tonnes Ν /ha/an.L'évaluation des flux de pesticides dans l'agrosystème et des risques induits pour les eaux souterraines (chapitre 5) a révélé un fiux total de pesticides de 60kg/ha/an, totalisant 15 matières actives. Seules deux de ces matières actives sont autorisées par le comité des pesticides sahélien. Les pesticides les plus utilisés par les producteurs sont l'organochloré dicofol, les organophosphorés methamidophos, dimethoate et fenithrotion ainsi que le cabamate methomyl. Les flux les plus importants sont de 9 à 7 kg/ha/an (methomyl, methamidophos, ethoprophos et dicofol). Les pesticides qui présentent un risque élevé de contamination des eaux souterraines et qui devraient être prioritaires pour un suivi analytique sont : le carbofuran, le dimethoate, l'ethoprophos et le methomyl.En conclusion, une meilleure gestion de la fertilisation est nécessaire dans la zone d'AU de Dakar, afin de (1) réduire les pertes gazeuses qui contribuent à l'effet de serre, (2) de ralentir la minéralisation du carbone et de l'azote organiques pour créer un stock de C et Ν dans ces sols, (3) de limiter le lessivage dans la nappe et enfin, 4) d'augmenter l'efficacité d'utilisation de Ν par les plantes. Une optimisation de l'irrigation devrait limiter l'alcalinisation secondaire. Enfin, la mise en place d'une lutte intégrée ou biologique contre les ravageurs est indispensable afin de minimiser les risques pour les eaux souterraines et les mares permanentes.ABSTRACTUrban and periurban agriculture (UA) is an important issue in southern countries, because of its key role in their social and economical development and its environmental concern. The goal of this study was to contribute to a better understanding of pollutant transfer and nutrient cycling at the local scale, in order to implement the necessary improvements to guarantee the sustainability of this practice.An approach based on geochemical processes occurring in the vadose zone from the surface down to the groundwater level was chosen, at the scale of cultivated plots and at the regional scale of Dakar periurban areas, to determine the influence of land use.The assessment of irrigation with untreated domestic wastewater and brackish water on soil quality (chapter 2) showed: (1) that the high alkalinity and calcium contents of brackish water induce CaC03 precipitation in the top layer of the soil and therefore a replacement of Ca by Na on the clay- humic complexes, strongly marked during the dry season. Dissolved organic carbon (DOC) increased significantly in the soil solution and in the underlying groundwater. (2) in spite of the similarly high alkalinity and Ca contents of waste water, there is only little CaC03 precipitation and a low increase of the percentage of exchangeable sodium (ESP) in the soil top layer. The nitrification of the ammonium of wastewater (mean 190 mg/L in Pikine) produces protons, which are not any more buffered by bicarbonates exported out of the soil profile, which leads to a net decline of soil pH. Both soils irrigated with untreated wastewater and brackish water store less of C and Ν than soils irrigated with non saline groundwater.The assessment of the impact of land use on the shallow groundwater (chapter 3) allowed determining representative tracers of the land use. Low Br/CI ratio, high NO3/CI ratio and low δ1βΟ- nitrate indicated the influence of wastewater; high pH and high 515N-nitrates indicated the influence of brackish water together with high amendments of organic fertilizers; high Rb+Cr and Κ indicated the influence of poor sanitation facilities in periurban districts (septic tank leakage). This chapter also pointed out the following facts about the nitrogen dynamics : (1) denitrification is a key-process in the Dakar UA agrosystem in the gleysols irrigated with groundwater. The underlying groundwater is almost nitrate free. (2) in the Gleysols irrigated with waste water, ammonium inhibits denitrification but facilitate ammoniac volatilization. A comparison of nitrogen balance between the UA agrosystem and the periurban districts of Dakar (chapter 4) revealed similar flows per surface unit, namely 2-4 tons Ν / ha / year.The evaluation of pesticides use in the UA agrosystem and the risk assessment for the groundwater (chapter 5) revealed a total flow of pesticides of 60kg / ha / year, totalizing 15 active substances. Only two of these are authorized by the Sahelian Pesticides Committee. The most used pesticides are dicofol (organochlorinated), methamidophos, dimethoate and fenithrotion (organophosphate) as well as methomyl. (carbamate). The most important flows vary between 9 to 7 kg / ha / year. Pesticides with a high risk of groundwater contamination - according to SIRIS and EPRIP 2 indicators - are: carbofuran, dimethoate, ethoprophos and methomyl. These substances should be established as a priority for an analytical follow-up in the different environmental compartments.In conclusion, a better management of the fertilization is necessary in the Dakar UA, (1) to reduce the gaseous losses which contribute to greenhouse emissions (2) to slow down the mineralization of the organic carbon and the nitrogen, in order to enhance the C and Ν stock in these soils, (3) to limit the nitrate leaching in the groundwater and finally, 4) to increase the N-use efficiency of plants. An optimization of the irrigation scheme should limit the secondary sodisation if coupled with an increase the stable organic matter of the soil. An integrated or biologic crop pest strategy is urgently needed to minimize risks with respect to ground and surface water (ponds used for fishing).RESUME LARGE PUBLICL'agriculture mondiale connaît actuellement une crise majeure, affectée par les changements climatiques, la sécurité alimentaire et les dégradations de l'environnement. Elle n'a plus le rôle unique de produire, mais devient un élément essentiel de la protection des ressources naturelles et du paysage. Les politiques agricoles basées sur les marchés mondiaux devront se réorienter vers une agriculture locale basée sur le développement durable.La production alimentaire située dans l'enceinte des villes, nommée agriculture urbaine ou périurbaine (AU ci-après) joue un rôle important dans le contexte actuel d'accroissement de la population et de la pauvreté urbaines. L'AU concerne en effet la majorité des mégapoies du monde, fait vivre plus de 200 millions de personnes dans les pays du Sud, fournit jusqu'à 80% de la demande urbaine en certains produits frais, fait barrière à l'extension urbaine et permet un recyclage de certains déchets urbains. L'AU a pour particularité d'être à cheval entre des politiques rurales et urbaines, d'où un délaissement ce cette activité au secteur informel. Ce qui a développé de nombreuses stratégies à risques, comme à Dakar, où les petits producteurs périurbains irriguent quotidiennement avec des eaux usées domestiques par manque d'accès à une eau de bonne qualité et pour raccourcir les cycles de production. L'extrême précarité foncière des acteurs de l'AU de Dakar les empêchent d'investir à long terme et induit des pratiques inadéquates d'irrigation, d'usage de pesticides et de fertilisation de ces sols sableux.L'objectif de cette recherche était de contribuer à une meilleure connaissance des processus de transfert de polluants et du cycle des nutriments à l'échelle des parcelles cultivées par des eaux usées et des eaux saumâtres, afin de déterminer sous quelles conditions l'AU de Dakar peut être pratiquée et surtout maintenue sans porter atteinte à la santé et à l'environnement. Pour cela, une approche basée sur l'étude des processus géochimiques dans le sol jusqu'à la nappe a été choisie, à l'échelle de la parcelle cultivée et à une échelle un peu plus large de la zone périurbaine de Dakar pour déterminer les influences du type d'occupation du sol.Les résultats principaux de cette étude ont montré que (1) il y a un processus de salinisation anthropique des sols (sodisation) lors d'irrigation avec des eaux de nappe saumâtres, un processus accentué en saison sèche et lors d'années à pluviométrie déficitaire. Bien que les eaux usées soient aussi salines que les eaux de nappe, la salinisation des sols irrigués' par des eaux usées est limitée par l'ammonium présent dans les eaux usées (moy 190mg NH4/L à Pikine) qui produit de l'acidité lors de la transformation en nitrates dans le sol (nitrification). (2) les sols irrigués par des eaux usées (EU) stockent moins de C et Ν que les sois de référence, ce qui montrent bien que l'azote des eaux usées n'est pas disponible pour les plantes, mais est lessivé dans la nappe (100 à 450 mg/L N03 sous irrigation par EU, alors que la limite de OMS est de 50mg/L). (3) l'utilisation des isotopes stables des nitrates et des éléments traces, notamment le bore et le brome, ont permis de distinguer l'influence de l'irrigation par des eaux usées, de l'irrigation par des eaux de nappe et des lixiviats de fosses septiques sur les propriétés de la nappe. (4) Le processus de la dénitrification (atténuation naturelle des concentrations en nitrates de la nappe par biotransformation en azote gazeux) est important dans les zones basses de l'agrosystème périurbain de Dakar, sous irrigation par eaux naturelles (ΝΟ3 < 50mg/L). Tandis que sous habitat sans assainissement adéquat, les nitrates atteignent 300 à 700 mg/L. (5) Le flux total de pesticides dans l'AU est énorme (60kg/ha/an) totalisant 15 pesticides, dont deux seulement sont autorisés. Les pesticides les plus utilisés sont des insecticides organophosphorés et organochlorés classés extrêmement dangereux à dangereux par l'OMS, appliqués à des doses de 2 à 9 kg/ha/an. Les pesticides qui ont montré un risque élevé de contamination des eaux souterraines avec les indicateurs SIRIS et EPRIP2 sont : le carbofuran, le dimethoate, l'ethoprophos et le methomyl.En conclusion, nous recommandons la reconstitution d'un horizon superficiel des sols riche en matière organique stable et structuré par production locale de compost. Cette mesure réduira les pertes gazeuses contribuant à l'effet de serre, augmentera le stock de Ν dans ces sols, alors utilisable par les plantes et permettra de diminuer l'irrigation car la capacité de rétention de l'eau dans le sol sera accru, ce qui limitera le lessivage des nitrates dans la nappe et l'alcalinisation secondaire. Enfin, la mise en place d'une lutte intégrée ou biologique contre les ravageurs est indispensable afin de minimiser les risques pour les eaux souterraines et lesmares permanentes.

Evidence of a critical time in constrained Kinetic Ising models

We study the relaxational dynamics of the one-spin facilitated Ising model introduced by Fredrickson and Andersen. We show the existence of a critical time which separates an initial regime in which the relaxation is exponentially fast and aging is absent from a regime in which relaxation becomes slow and aging effects are present. The presence of this fast exponential process and its associated critical time is in agreement with some recent experimental results on fragile glasses.