Effects of differential mobility on biased diffusion of two species

Abstract

Using simulations and a simple mean-field theory, we investigate jamming transitions in a two-species lattice gas under non-equilibrium steady-state conditions. The two types of particles diffuse with different mobilities on a square lattice, subject to an excluded volume constraint and biased in opposite directions. Varying filling fraction, differential mobility, and drive, we map out the phase diagram, identifying first order and continuous transitions between a free-flowing disordered and a spatially inhomogeneous jammed phase. Ordered structures are observed to drift, with a characteristic velocity, in the direction of the more mobile species.

Effects of gas interparticle interaction on dissipative wake-mediated forces

“…(1) using the local equilibrium approximation (the Zubarev approach) [46,47] which coincides, in our case, with the mean-field approximation [48]. Introducing time derivatives [49], in the longwavelength approximation (see [37][38][39]41]) the macroscopic kinetics of the mobile component n is given by the equation…”

“…Even such a short-range interaction results in a number of unexpected kinetic effects, e.g., the "back correlations" effect [36], drifting spatial structures [37][38][39], effects of "negative" mass transport [40][41][42], induced long-time correlations [43], and the dissipative pairing effect for tracers passing through a lattice gas [44]. Increasing of gas concentration (bath fraction) leads to enhancement of the role of interaction between gas particles.…”

Nonlinear Diffusion in the Liquid Solution of Diethyl Ether with Chloroform

“…However, if the particles interact with one another, such fluxes are nonlinear, because the transport of particles of one sort is automatically accompanied by the transfer of the particles of the other sort. In the specific case of interaction of the "excluded volume" type, the nonlinear equations of mass transfer were derived in the framework of the lattice gas model [45][46][47][48][49].…”

Mutual diffusion in the liquid solution of acetone-cyclohexane with a complex formation

“…Проте за наявностi взаємодiї мiж частинками такi потоки є нелiнiйними, оскiльки транспорт частинок одного сорту автоматично супроводжується перенесенням частинок iншого сорту. У частковому випадку взаємодiї типу "виключеного об'єму" нелiнiйнi рiвняння масопереносу було виведено в межах моделi ґраткового газу [48][49][50][51][52].…”