We present here a conjecture about the equivalence between the noise density of states of a system governed by a generalized Langevin equation and the fluctuation in the energy density of states in a Hamiltonian system. We present evidence of this for a disordered Heisenberg system.

We study, within the framework of game theory, the properties of a spatially distributed population of both predators and preys that may hunt or defend themselves either isolatedly or in group. Specifically, we show that the properties of the spatial Lett-Auger-Gaillard model, when different...

We study, within the framework of game theory, the properties of a spatially distributed population of both predators and preys that may hunt or defend themselves either isolatedly or in group. Specifically, we show that the properties of the spatial Lett-Auger-Gaillard model, when different...

Motivated by the problem of calculating the effusion time of solute from a spherical vesicle with an open pore, we present an analytical solution of a simpler problem in which solute particles are allowed to escape through a spherical cavity located at the center of the vesicle.

We present a simple model to study micellization of amphiphiles condensed on a rod-like polyion. Although the mean field theory leads to a first order micellization transition for sufficiently strong hydrophobic interactions, the simulations show that no such thermodynamic phase transition...

An infinite range spin-glass-like model for granular systems is introduced and studied through the replica mean field formalism. Equilibrium properties under vibration and gravity are obtained, as well as the phase diagram showing the dependence on gravity, density and vibration.

A mean-field theory based on Gibbs–Bogoliubov inequality is constructed to study the interactions between two like-charged polyions. It is shown that contrary to the previously established paradigm, a properly constructed mean-field theory can quantitatively account for the attractive...

The problem of effusion is studied using Monte Carlo simulations and scaling analysis. Particles confined to the interior of a container undergo a random walk with step size δ. If a hole is opened in one of the container walls, an outgoing diffusive current of particles will exit through it....

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of densely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo simulations of a lattice gas under gravity. The dynamical...