Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-27
Phys. Rev. E 66, 046130 (2002)
Physics
Condensed Matter
Statistical Mechanics
9 pages
Scientific paper
10.1103/PhysRevE.66.046130
A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin chain settles into a non-equilibrium stationary state, characterized by multiple interactions of increasing range and spin order. We derive the equations of motion for arbitrary correlation functions and solve them to obtain an exact representation of the steady state. Two nontrivial amplitudes reflect the sublattice symmetries; otherwise, correlations decay exponentially, modulo the periodicity of the ring. In the long chain limit, they factorize into products of two-point functions, in precise analogy to the equilibrium Ising chain. The exact solution confirms the expectation, based on simulations and renormalization group arguments, that the long-time, long-distance behavior of this two-temperature model is Ising-like, in spite of the apparent complexity of the stationary distribution.
Schmittmann Beate
Schmueser F.
No associations
LandOfFree
Stationary correlations for a far-from-equilibrium spin chain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stationary correlations for a far-from-equilibrium spin chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary correlations for a far-from-equilibrium spin chain will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-550705