Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-06-11
J.Stat.Phys. 90 (1998) 783
Physics
Condensed Matter
Statistical Mechanics
27 pages, LaTeX, needs epsf.sty
Scientific paper
10.1023/A:1023229004414
The steady states of the two-species (positive and negative particles) asymmetric exclusion model of Evans, Foster, Godreche and Mukamel are studied using Monte Carlo simulations. We show that mean-field theory does not give the correct phase diagram. On the first-order phase transition line which separates the CP-symmetric phase from the broken phase, the density profiles can be understood through an unexpected pattern of shocks. In the broken phase the free energy functional is not a convex function but looks like a standard Ginzburg-Landau picture. If a symmetry breaking term is introduced in the boundaries the Ginzburg-Landau picture remains and one obtains spinodal points. The spectrum of the hamiltonian associated with the master equation was studied using numerical diagonalization. There are massless excitations on the first-order phase transition line with a dynamical critical exponent z=2 as expected from the existence of shocks and at the spinodal points where we find $z=1$. It is for the first time that this value which characterizes conformal invariant equilibrium problems appears in stochastic processes.
Arndt Peter F.
Heinzel Thomas
Rittenberg Vladimir
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