Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Journal of Statistical Physics, Vol. 90, Nos. 3/4, 1998 First-Order Phase Transitions in One-Dimensional
 

Summary: Journal of Statistical Physics, Vol. 90, Nos. 3/4, 1998
First-Order Phase Transitions in One-Dimensional
Steady States
Peter F. Arndt,1'2 Thomas Heinzel,1 2 and VladimirRittenberg1-2
Received July 31, 1997:final November 6, 1997
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 fine with a dynamical critical exponent z = 2, as
expected from the existence of shocks, and at the spinodal points, where we find
: = 1. It is the first time that this value, which characterizes conformalinvariant
equilibrium problems, appears in stochastic processes.

  

Source: Arndt, Peter - Max-Planck-Institut für molekulare Genetik

 

Collections: Physics; Biotechnology