Pseudoclassical description for a nonrelativistic spinning particle. I. The Levy-Leblond equation

A pseudoclassical model for a spinning nonrelativistic particle is presented. The model contains two first-class constraints which after quantization give rise to the Levy-Leblond equation for a spin-1/2 particle.

Effects of external noise on the Swift-Hohenberg Equation

The Swift-Hohenberg equation is studied in the presence of a multiplicative noise. This stochastic equation could describe a situation in which a noise has been superimposed on the temperature gradient between the two plates of a Rayleigh-Bnard cell. A linear stability analysis and numerical simulations show that, in constrast to the additive-noise case, convective structures appear in a regime in which a deterministic analysis predicts a homogeneous solution.

Crystallization behaviour of some melt spun Nd-Fe-B alloys

The kinetics of crystallization of four amorphous (or partially amorphous) melt spun Nd-Fe-B alloys induced by thermal treatment is studied by means of differential scanning calorimetry and scanning electron microscopy, In the range of temperatures explored experimentally, the crystallization process is thermally activated and generally proceeds in various stages. The Curie temperature and the crystallization behavior have been measured. The apparent activation energy of crystallization of most of the crystallization stages has been determined for each melt spun alloy. The explicit form of the kinetic equation that best describes the first stage of crystallization has been found. It follows in general the Johnson-Mehl-Avrami-Erofe'ev model, but clear deviations to that model occur for one alloy. Scanning electron microscopy demonstrates that preferentially hetereogeneous nucleation occurs at the ribbon surface which was in contact with the wheel. From crystallization kinetics results the lower part of the experimental time-temperature-transformation curves for all studied alloys are deduced and extrapolated to the high temperature limit of their range of validity, also deduced.

Temperature-induced resonances and Landau damping of collective modes in Bose-Einstein condensed gases in spherical traps

Interaction between collective monopole oscillations of a trapped Bose-Einstein condensate and thermal excitations is investigated by means of perturbation theory. We assume spherical symmetry to calculate the matrix elements by solving the linearized Gross-Pitaevskii equations. We use them to study the resonances of the condensate induced by temperature when an external perturbation of the trapping frequency is applied and to calculate the Landau damping of the oscillations.

Landau damping of transverse quadrupole oscillations of an elongated Bose-Einstein condensate

We have studied the interaction between the low-lying transverse collective oscillations and the thermal excitations of an elongated Bose-Einstein condensate by means of perturbation theory. We consider a cylindrical trapped condensate and calculate the transverse elementary excitations at zero temperature by solving the linearized Gross-Pitaevskii equations in two dimensions (2D). We use them to calculate the matrix elements between the thermal excited states and the quasi-2D collective modes. The Landau damping of transverse collective modes is studied as a function of temperature. At low temperatures, the corresponding damping rate is in agreement with the experimental data for the decay of the transverse quadrupole mode, but it is too small to explain the observed slow decay of the transverse breathing mode. The reason for this discrepancy is discussed.

Substance P and calbindin D-28k-immunoreactivity in primary sensory neurons of chick embryos: differential neuronal birthdates and transient co-localization.

During the ontogenesis of dorsal root ganglia (DRG), the immunoreactivity to substance P (SP) and calbindin D-28k (CaBP) appears in chickens at embryonic day 5 (E5) and E10 respectively. To establish the birthdates of primary sensory neurons expressing SP or CaBP, chick embryos were given repetitive intra-amniotic injections of [3H]-thymidine. The neuroblasts giving rise to SP-expressing neurons were labeled up to E6 while those generating CaBP-immunoreactive neurons stopped to incorporate [3H]-thymidine before E5.5. This finding indicates that neurons exhibiting distinct phenotypes may originate from neuroblasts which arrest to proliferate at close but distinct stages of development. To determine whether SP and CaBP are co-expressed or not in DRG neurons, chick embryos at E12, E18, and chickens two weeks after hatching were perfused and fixed to detect simultaneously SP- and CaBP-immunoreactivity in DRG sections. The results showed that SP and CaBP were transiently co-expressed by a subset of neurons at E12. Later, however, the SP-immunoreactivity was gradually lost by these ganglion cells, so that the SP- and CaBP-immunoreaction defined two distinct neuronal subpopulations after hatching. In conclusion, most CaBP-immunoreactive DRG cells derive from a subset of neurons in which SP and CaBP are transiently co-localized.

Front dynamics in the presence of spatio-temporal structured noises

Front dynamics modeled by a reaction-diffusion equation are studied under the influence of spatiotemporal structured noises. An effective deterministic model is analytical derived where the noise parameters, intensity, correlation time, and correlation length appear explicitly. The different effects of these parameters are discussed for the Ginzburg-Landau and Schlögl models. We obtain an analytical expression for the front velocity as a function of the noise parameters. Numerical simulation results are in a good agreement with the theoretical predictions.

Intrinsic noise-induced phase transitions: Beyond the noise interpretation

We discuss intrinsic noise effects in stochastic multiplicative-noise partial differential equations, which are qualitatively independent of the noise interpretation (Itô vs Stratonovich), in particular in the context of noise-induced ordering phase transitions. We study a model which, contrary to all cases known so far, exhibits such ordering transitions when the noise is interpreted not only according to Stratonovich, but also to Itô. The main feature of this model is the absence of a linear instability at the transition point. The dynamical properties of the resulting noise-induced growth processes are studied and compared in the two interpretations and with a reference Ginzburg-Landau-type model. A detailed discussion of a different numerical algorithm valid for both interpretations is also presented.

Colored noise in spatially extended systems

We study the effects of time and space correlations of an external additive colored noise on the steady-state behavior of a time-dependent Ginzburg-Landau model. Simulations show the existence of nonequilibrium phase transitions controlled by both the correlation time and length of the noise. A Fokker-Planck equation and the steady probability density of the process are obtained by means of a theoretical approximation.

Reentrant transition induced by multiplictative noise in the Time Dependent Ginzburg-Landau model

An effect of multiplicative noise in the time-dependent Ginzburg-Landau model is reported, namely, that noise at a relatively low intensity induces a phase transition towards an ordered state, whereas strong noise plays a destructive role, driving the system back to its disordered state through a reentrant phase transition. The phase diagram is calculated analytically using a mean-field theory and a more sophisticated approach and is compared with the results from extensive numerical simulations.

State equation for shape-memory alloys. Aplication to Cu-Zn-Al

We deal with the hysteretic behavior of partial cycles in the two¿phase region associated with the martensitic transformation of shape¿memory alloys. We consider the problem from a thermodynamic point of view and adopt a local equilibrium formalism, based on the idea of thermoelastic balance, from which a formal writing follows a state equation for the material in terms of its temperature T, external applied stress ¿, and transformed volume fraction x. To describe the striking memory properties exhibited by partial transformation cycles, state variables (x,¿,T) corresponding to the current state of the system have to be supplemented with variables (x,¿,T) corresponding to points where the transformation control parameter (¿¿ and/or T) had reached a maximum or a minimum in the previous thermodynamic history of the system. We restrict our study to simple partial cycles resulting from a single maximum or minimum of the control parameter. Several common features displayed by such partial cycles and repeatedly observed in experiments lead to a set of analytic restrictions, listed explicitly in the paper, to be verified by the dissipative term of the state equation, responsible for hysteresis. Finally, using calorimetric data of thermally induced partial cycles through the martensitic transformation in a Cu¿Zn¿Al alloy, we have fitted a given functional form of the dissipative term consistent with the analytic restrictions mentioned above.

Magnetization versus heat treatment in rapidly solidified NdFeB alloys

NdFeB melt-spun amorphous or partially amorphous alloys of four compositions were prepared. Their crystallization kinetics induced by thermal treatment was studied by differential scanning calorimetry and scanning and transmission electron microscopy. Scanning electron microscopy demonstrated that heterogeneous nucleation occurs preferentially at the ribbon surface which was in contact with the wheel. The explicit form of the kinetic equation that best describes the first stage of crystallization under high undercooling conditions was obtained for each alloy. From the crystallization results, the lower part of the experimental time-temperature-transformation curves was deduced for each alloy and extrapolated up to the high-temperature limit of their validity. Microstructural observations showed a typical size of the microcrystals obtained by heat treatment of ~100 nm. From the magnetic properties measured with a vibrating sample magnetometer, the same magnetic behavior of partially crystallized alloys is observed regardless of the temperature of annealing provided the same crystallization fraction, x, is achieved, at least for small values of x (typically ~10%).

A high-sensitivity differential scanning calorimeter with magnetic field for magnetostructural transitions

We have developed a differential scanning calorimeter capable of working under applied magnetic fields of up to 5 T. The calorimeter is highly sensitive and operates over the temperature range 10¿300 K. It is shown that, after a proper calibration, the system enables determination of the latent heat and entropy changes in first-order solid¿solid phase transitions. The system is particularly useful for investigating materials that exhibit the giant magnetocaloric effect arising from a magnetostructural phase transition. Data for Gd5(Si0.1Ge0.9)4 are presented.

Differential phosphoproteomics of fragmenting yeast vacuoles

Many organelles exist in an equilibrium of fragmentation into smaller units and fusion into larger structures, which is coordinated with cell division, the increase in cell mass, and envi¬ronmental conditions. In yeast cells, organelle homeostasis can be studied using the yeast vacuole (lysosome) as a model system. Yeast vacuoles are the main compartment for degrada¬tion of cellular proteins and storage of nutrients, ions and metabolites. Fission and fusion of vacuoles can be induced by hyper- and hypotonic shock in vivo, respectively, and have also been reconstituted in vitro using isolated vacuoles. The conserved serine/threonine kinase TOR (target of rapamycin) is a central nutrient sensor and regulates cell growth and metabolism. In yeast, there are two TOR proteins, Torlp and Tor2p, which are part of larger protein complexes, TORCI and TORC2. Only TORCI is rapamycin-sensitive. Disregulation of TOR signaling is linked to a multitude of diseases in humans, e.g. cancer, neurodegenerative diseases and metabolic syndrome. It has been shown that TORCI localizes to the vacuole membrane, and recent findings of our laboratory demonstrated that TORCI positively regulates vacuole fragmentation. This suggests that the fragmentation machinery should contain target proteins phosphorylated by TORCI. I explored the rapamycin-and fission-dependent vacuolar phosphoproteome during frag¬mentation, using a label-free mass-spectrometry approach. I identified many vacuolar factors whose phosphorylation was downregulated in a TORCI- and fission-dependent manner. Among them were known protein complexes that are functionally linked to fission or fusion, like the HOPS, VTC and FAB1 complexes. Hence, TORCI-dependent phosphorylations might positively regulate vacuole fission. Several candidates were chosen for detailed microscopic analysis of in vivo vacuole frag-mentation, using deletion mutants. I was able to identify novel factors not previously linked to fission phenotypes, e.g. the SEA complex, Pib2, and several vacuolar amino acid transporters. Transport of neutral and basic amino acids across the membrane seems to control vacuole fission, possibly via TORCI. I analyzed vacuolar fluxes of amino acids in wildtype yeast cells and found evidence for a selective vacuolar export of basic amino acids upon hyperosmotic stress. This leads me to propose a model where vacuolar export of amino acids is necessary to reshape the organelle under salt stress. - Le nombre et la taille de certaines organelles peut être déterminé par un équilibre entre la fragmentation qui produit des unités plus petites et la fusion qui génère des structures plus larges. Cet équilibre est coordonné avec la division cellulaire, l'augmentation de la masse cellulaire, et les conditions environnementales. Dans des cellules de levure, l'homéostasie des organelles peut être étudié à l'aide d'un système modèle, la vacuole de levure (lysosome). Les vacuoles constituent le principal compartiment de la dégradation des protéines et de stockage des nutriments, des ions et des métabolites. La fragmentation et la fusion des vacuoles peuvent être respectivement induites par un traitement hyper- ou hypo-tonique dans les cellules vivantes. Ces processus ont également été reconstitués in vitro en utilisant des vacuoles isolées. La sérine/thréonine kinase conservée TOR (target of rapamycin/cible de la rapamycine) est un senseur de nutriments majeur qui régule la croissance cellulaire et le métabolisme. Chez la levure, il existe deux protéines TOR, Torlp et Tor2p, qui sont les constituants de plus grands complexes de protéines, TORCI et TORC2. TORCI est spécifiquement inhibé par la rapamycine. Une dysrégulation de la signalisation de TOR est liée à une multitude de maladies chez l'homme comme le cancer, les maladies neurodégénératives et le syndrome métabolique. Il a été montré que TORCI se localise à la membrane vacuolaire et les découvertes récentes de notre laboratoire ont montré que TORCI régule positivement la fragmentation de la vacuole. Ceci suggère que le mécanisme de fragmentation doit être contrôlé par la phosphorylation de certaines protéines cibles de TORCI. J'ai exploré le phosphoprotéome vacuolaire lors de la fragmentation, en présence ou absence de rapamycine et dans des conditions provoquant la fragmentation des organelles. La méthode choisie pour réaliser la première partie de ce projet a été la spectrométrie de masse différentielle sans marquage. J'ai ainsi identifié plusieurs facteurs vacuolaires dont la phosphorylation est régulée d'une manière dépendante de TORCI et de la fragmentation. Parmi ces facteurs, des complexes protéiques connus qui sont fonctionnellement liées à fragmentation ou la fusion, comme les complexes HOPS, VTC et FAB1 ont été mis en évidence. Par conséquent, la phosphorylation dépendante de TORCI peut réguler positivement la fragmentation des vacuoles. Plusieurs candidats ont été choisis pour une analyse microscopique détaillée de la fragmentation vacuolaire in vivo en utilisant des mutants de délétion. J'ai été en mesure d'identifier de nouveaux facteurs qui n'avaient pas été encore associés à des phénotypes de fragmentation tels que les complexes SEA, Pib2p, ainsi que plusieurs transporteurs vacuolaires d'acides aminés. Le transport des acides aminés à travers la membrane semble contrôler la fragmentation de la vacuole. Puisque ces transporteurs sont phosphorylés par TORCI, ces résultats semblent confirmer la