A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy… (More)

We review the past decade s theoretical and experimental studies of flocking: the collective, coherent motion of large numbers of self-propelled ‘‘particles’’ (usually, but not always, living… (More)

A theoretical study of the physical properties which determine the variation in signal strength from probe to probe on a microarray is presented. A model which incorporates probe-target… (More)

We study a model of flocking for a very large system (N=320,000) numerically. We find that in the long wavelength, long time limit, the fluctuations of the velocity and density fields are carried by… (More)

We study the chaotic domain state in rotating convection using a model equation that allows for a continuous range of roll orientations as in the experimental system. Methods are developed for… (More)

Based on quantum theory of the Coulombic interactions between a molecule and its surrounding molecules, a theoretical derivation is presented to obtain an atomic charge model. The charge model shows… (More)

We use a Monte Carlo bond-switching method to study systematically the thermodynamic proper of a “continuous random network” model, the canonical model for such amorphous systems as a-Si nd a-SiO2.… (More)

We propose a non-equilibrium continuum dynamical model for the collective motion of large groups of biological organisms (e.g., flocks of birds, slime molds, etc.) Our model becomes highly… (More)