Relevance of dynamic wetting in viscous fingering patterns

We demonstrate that wetting effects at moving contact lines have a strong impact in viscous fingering patterns. Experiments in a rotating Hele-Shaw (HS) cell, dry or prewetted, show consistent morphological differences. When the wetting fluid invades a dry region, contact angle dynamics yield a kinetic contribution to the interface pressure drop that scales with capillary number as Ca2¿3 but is significantly larger than the Park-Homsy kinetic correction. Numerical results are in very good agreement with experiments and show that standard HS equations work best for prewetted cells.

Studying Avalanches in the ground-state of the two-dimensional random field Ising model driven by an external field

We study the exact ground state of the two-dimensional random-field Ising model as a function of both the external applied field B and the standard deviation ¿ of the Gaussian random-field distribution. The equilibrium evolution of the magnetization consists in a sequence of discrete jumps. These are very similar to the avalanche behavior found in the out-of-equilibrium version of the same model with local relaxation dynamics. We compare the statistical distributions of magnetization jumps and find that both exhibit power-law behavior for the same value of ¿. The corresponding exponents are compared.

Brownian motion in short range random potentials

A numerical study of Brownian motion of noninteracting particles in random potentials is presented. The dynamics are modeled by Langevin equations in the high friction limit. The random potentials are Gaussian distributed and short ranged. The simulations are performed in one and two dimensions. Different dynamical regimes are found and explained. Effective subdiffusive exponents are obtained and commented on.

An analytical approach to sorting in periodic and random potentials

There has been a recent revolution in the ability to manipulate micrometer-sized objects on surfaces patterned by traps or obstacles of controllable configurations and shapes. One application of this technology is to separate particles driven across such a surface by an external force according to some particle characteristic such as size or index of refraction. The surface features cause the trajectories of particles driven across the surface to deviate from the direction of the force by an amount that depends on the particular characteristic, thus leading to sorting. While models of this behavior have provided a good understanding of these observations, the solutions have so far been primarily numerical. In this paper we provide analytic predictions for the dependence of the angle between the direction of motion and the external force on a number of model parameters for periodic as well as random surfaces. We test these predictions against exact numerical simulations.

Surface tension and dynamics of fingering patterns

We study the minimal class of exact solutions of the Saffman-Taylor problem with zero surface tension, which contains the physical fixed points of the regularized (nonzero surface tension) problem. New fixed points are found and the basin of attraction of the Saffman-Taylor finger is determined within that class. Specific features of the physics of finger competition are identified and quantitatively defined, which are absent in the zero surface tension case. This has dramatic consequences for the long-time asymptotics, revealing a fundamental role of surface tension in the dynamics of the problem. A multifinger extension of microscopic solvability theory is proposed to elucidate the interplay between finger widths, screening and surface tension.

Coarsening of solid-liquid mixtures in a random acceleration field

The effects of flow induced by a random acceleration field (g-jitter) are considered in two related situations that are of interest for microgravity fluid experiments: the random motion of isolated buoyant particles, and diffusion driven coarsening of a solid-liquid mixture. We start by analyzing in detail actual accelerometer data gathered during a recent microgravity mission, and obtain the values of the parameters defining a previously introduced stochastic model of this acceleration field. The diffusive motion of a single solid particle suspended in an incompressible fluid that is subjected to such random accelerations is considered, and mean squared velocities and effective diffusion coefficients are explicitly given. We next study the flow induced by an ensemble of such particles, and show the existence of a hydrodynamically induced attraction between pairs of particles at distances large compared with their radii, and repulsion at short distances. Finally, a mean field analysis is used to estimate the effect of g-jitter on diffusion controlled coarsening of a solid-liquid mixture. Corrections to classical coarsening rates due to the induced fluid motion are calculated, and estimates are given for coarsening of Sn-rich particles in a Sn-Pb eutectic fluid, an experiment to be conducted in microgravity in the near future.

Soil losses from typic cambisols and red latosol as related to three erosive rainfall patterns

Rainfall erosivity is one of the main factors related to water erosion in the tropics. This work focused on relating soil loss from a typic dystrophic Tb Haplic Cambisol (CXbd) and a typic dystrophic Red Latosol (LVdf) to different patterns of natural erosive rainfall. The experimental plots of approximately 26 m² (3 x 8.67 m) consisted of a CXbd area with a 0.15 m m-1 slope and a LVdf area with 0.12 m m-1 slope, both delimited by galvanized plates. Drainpipes were installed at the lower part of these plots to collect runoff, interconnected with a Geib or multislot divisor. To calculate erosivity (EI30), rainfall data, recorded continuously at a weather station in Lavras, were used. The data of erosive rainfall events were measured (10 mm precipitation intervals, accuracy 0.2 mm, 24 h period, 20 min intervals), characterized as rainfall events with more than 10 mm precipitation, maximum intensity > 24 mm h-1 within 15 min, or kinetic energy > 3.6 MJ, which were used in this study to calculate the rainfall erosivity parameter, were classified according to the moment of peak precipitation intensity in advanced, intermediate and delayed patterns. Among the 139 erosive rainfall events with CXbd soil loss, 60 % were attributed to the advanced pattern, with a loss of 415.9 Mg ha-1, and total losses of 776.0 Mg ha-1. As for the LVdf, of the 93 erosive rainfall events with soil loss, 58 % were listed in the advanced pattern, with 37.8 Mg ha-1 soil loss and 50.9 Mg ha-1 of total soil loss. The greatest soil losses were observed in the advanced rain pattern, especially for the CXbd. From the Cambisol, the soil loss per rainfall event was greatest for the advanced pattern, being influenced by the low soil permeability.

Early dyadic patterns of mother-infant interactions and outcomes of prematurity at 18 months.

OBJECTIVE: With the increased survival of very preterm infants, there is a growing concern for their developmental and socioemotional outcomes. The quality of the early mother-infant relationship has been noted as 1 of the factors that may exacerbate or soften the potentially adverse impact of preterm birth, particularly concerning the infant's later competencies and development. The first purpose of the study was to identify at 6 months of corrected age whether there were specific dyadic mother-infant patterns of interaction in preterm as compared with term mother-infant dyads. The second purpose was to examine the potential impact of these dyadic patterns on the infant's behavioral and developmental outcomes at 18 months of corrected age. METHODS: During a 12-month period (January-December 1998), all preterm infants who were <34 weeks of gestational age and hospitalized at the NICU of the Lausanne University Hospital were considered for inclusion in this longitudinal prospective follow-up study. Control healthy term infants were recruited during the same period from the maternity ward of our hospital. Mother-infant dyads with preterm infants (n = 47) and term infants (n = 25) were assessed at 6 months of corrected age during a mother-infant play interaction and coded according to the Care Index. This instrument evaluates the mother's interactional behavior according to 3 scales (sensitivity, control, and unresponsiveness) and the child's interactional behavior according to 4 scales (cooperation, compliance, difficult, and passivity). At 18 months, behavioral outcomes of the children were assessed on the basis of a semistructured interview of the mother, the Symptom Check List. The Symptom Check List explores 4 groups of behavioral symptoms: sleeping problems, eating problems, psychosomatic symptoms, and behavioral and emotional disorders. At the same age, developmental outcomes were evaluated using the Griffiths Developmental Scales. Five areas were evaluated: locomotor, personal-social, hearing and speech, eye-hand coordination, and performance. RESULTS: Among the possible dyadic patterns of interaction, 2 patterns emerge recurrently in mother-infant preterm dyads: a "cooperative pattern" with a sensitive mother and a cooperative-responsive infant (28%) and a "controlling pattern" with a controlling mother and a compulsive-compliant infant (28%). The remaining 44% form a heterogeneous group that gathers all of the other preterm dyads and is composed of 1 sensitive mother-passive infant; 10 controlling mothers with a cooperative, difficult, or passive infant; and 10 unresponsive mothers with a cooperative, difficult, or passive infant. Among the term control subjects, 68% of the dyads are categorized as cooperative pattern dyads, 12% as controlling pattern dyads, and the 20% remaining as heterogeneous dyads. At 18 months, preterm infants of cooperative pattern dyads have similar outcomes as the term control infants. Preterm infants of controlling pattern dyads have significantly fewer positive outcomes as compared with preterm infants of cooperative pattern dyads, as well as compared with term control infants. They display significantly more behavioral symptoms than term infants, including more eating problems than term infants as well as infants from cooperative preterm dyads. Infants of the controlling preterm dyads do not differ significantly for the total development quotient but have worse personal-social development than term infants and worse hearing-speech development than infants from cooperative preterm dyads. The preterm infants of the heterogeneous group have outcomes that can be considered as intermediate with no significant differences compared with preterm infants from the cooperative pattern or the controlling pattern dyads. CONCLUSION: Among mother-preterm infant dyads, we identified 2 specific patterns of interaction that could play either a protective (cooperative pattern) or a risk-precipitating (controlling pattern) role on developmental and behavioral outcome, independent of perinatal risk factors and of the family's socioeconomic background. The controlling pattern is much more prevalent among preterm than term dyads and is related to a less favorable infant outcome. However, the cooperative pattern still represents almost 30% of the preterm dyads, with infants' outcome comparable to the ones of term infants. These results point out the impact of the quality of mother-infant relationship on the infant's outcome. The most important clinical implication should be to support a healthy parent-infant relationship already in the NICU but also in the first months of the infant's life. Early individualized family-based interventions during neonatal hospitalization and transition to home have been shown to reduce maternal stress and depression and increase maternal self-esteem and to improve positive early parent-preterm infant interactions.

Adding functionalities to precomputed holograms with random mask multiplexing in holographic optical tweezers

In this study, we present a method designed to generate dynamic holograms in holographic optical tweezers. The approach combines our random mask encoding method with iterative high-efficiency algorithms. This hybrid method can be used to dynamically modify precalculated holograms, giving them new functionalities¿temporarily or permanently¿with a low computational cost. This allows the easy addition or removal of a single trap or the independent control of groups of traps for manipulating a variety of rigid structures in real time.

Solvable dynamics in a system of interacting random tops

A new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops or magnetic moments with random precession frequencies. The model allows for an explicit study of orientational effects in synchronization phenomena as well as nonlinear processes in resonance phenomena in strongly coupled magnetic systems. A stability analysis of the incoherent solution is performed for different types of orientational disorder. A system with orientational disorder always synchronizes in the absence of noise.

Patterns of failure and outcome in patients with carcinoma of the anal margin.

BACKGROUND: To evaluate the outcome of patients with carcinoma of anal margin in terms of recurrence, survival, and radiation toxicity. METHODS: A series of 45 consecutive patients, with anal margin carcinoma treated between 1983 and 2006 with curative intent at two institutions, was retrospectively analyzed. A surgical excision (close or positive surgical margin in 22 out of 29 patients) was realized before radiotherapy (RT). RT consisted of definitive external beam RT (EBRT) in 36 patients, brachytherapy (BT) alone in two patients, and both BT and EBRT in seven patients. The median total radiation dose was 59.4 Gy (range, 30-74 Gy). RESULTS: The 5-year locoregional control (LRC) rate was 78% [95% confidence interval (CI), 64-93%]. The 5-year disease-specific survival (DSS) and overall survival (OS) rates were respectively 86% (95% CI, 72-99%) and 55% (95% CI, 44-66%). The overall anal conservation rate was 80% for the whole series. There was no significant association between local recurrence and patient age, histological grade, tumor size, T stage, overall treatment time, RT dose, or chemotherapy. Long-term side effects were observed in 15 patients (33%). Only three patients developed grade 3-4 late toxicity (CTCAE/NCI v3.0). Significant relationship was found between dose, and complication rate (48% for dose >or=59.4 Gy versus 8% for dose < 59.4 Gy; P = 0.03). CONCLUSIONS: We conclude that definitive RT and/or BT yield a good local control and disease-specific survival comparable with published data. This study suggests that radiation dose over 59.4 Gy seems to increase treatment-related morbidity.

Generalized percolation in random directed networks

We develop a general theory for percolation in directed random networks with arbitrary two-point correlations and bidirectional edgesthat is, edges pointing in both directions simultaneously. These two ingredients alter the previously known scenario and open new views and perspectives on percolation phenomena. Equations for the percolation threshold and the sizes of the giant components are derived in the most general case. We also present simulation results for a particular example of uncorrelated network with bidirectional edges confirming the theoretical predictions.

Continuous-time random-walk model for financial distributions

We apply the formalism of the continuous-time random walk to the study of financial data. The entire distribution of prices can be obtained once two auxiliary densities are known. These are the probability densities for the pausing time between successive jumps and the corresponding probability density for the magnitude of a jump. We have applied the formalism to data on the U.S. dollardeutsche mark future exchange, finding good agreement between theory and the observed data.

Tuning clustering in random networks with arbitrary degree distributions

We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the configuration model, the degree distribution and the clustering coefficient for each class of nodes of degree k are fixed ad hoc and a priori. The algorithm generates corresponding topologies by applying first a closure of triangles and second the classical closure of remaining free stubs. The procedure unveils an universal relation among clustering and degree-degree correlations for all networks, where the level of assortativity establishes an upper limit to the level of clustering. Maximum assortativity ensures no restriction on the decay of the clustering coefficient whereas disassortativity sets a stronger constraint on its behavior. Correlation measures in real networks are seen to observe this structural bound.