2 research outputs found
Structure Factors and Their Distributions in Driven Two-Species Models
We study spatial correlations and structure factors in a three-state
stochastic lattice gas, consisting of holes and two oppositely ``charged''
species of particles, subject to an ``electric'' field at zero total charge.
The dynamics consists of two nearest-neighbor exchange processes, occuring on
different times scales, namely, particle-hole and particle-particle exchanges.
Using both, Langevin equations and Monte Carlo simulations, we study the
steady-state structure factors and correlation functions in the disordered
phase, where density profiles are homogeneous. In contrast to equilibrium
systems, the average structure factors here show a discontinuity singularity at
the origin. The associated spatial correlation functions exhibit intricate
crossovers between exponential decays and power laws of different kinds. The
full probability distributions of the structure factors are universal
asymmetric exponential distributions.Comment: RevTex, 18 pages, 4 postscript figures included, mistaken half-empty
page correcte
Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
When Lenz proposed a simple model for phase transitions in magnetism, he
couldn't have imagined that the "Ising model" was to become a jewel in field of
equilibrium statistical mechanics. Its role spans the spectrum, from a good
pedagogical example to a universality class in critical phenomena. A quarter
century ago, Katz, Lebowitz and Spohn found a similar treasure. By introducing
a seemingly trivial modification to the Ising lattice gas, they took it into
the vast realms of non-equilibrium statistical mechanics. An abundant variety
of unexpected behavior emerged and caught many of us by surprise. We present a
brief review of some of the new insights garnered and some of the outstanding
puzzles, as well as speculate on the model's role in the future of
non-equilibrium statistical physics.Comment: 3 figures. Proceedings of 100th Statistical Mechanics Meeting,
Rutgers, NJ (December, 2008