Magnetization distribution in the transverse Ising chain with energy flux

V. Eisler, Z. Rácz, F. van Wijland

Research output: Contribution to journalArticle


The zero-temperature transverse Ising chain carrying an energy flux [Formula presented] is studied with the aim of determining the nonequilibrium distribution functions, [Formula presented] and [Formula presented] of its transverse and longitudinal magnetizations, respectively. An exact calculation reveals that [Formula presented] is a Gaussian both at [Formula presented] and at [Formula presented] and the width of the distribution decreases with increasing energy flux. The distribution of the order-parameter fluctuations, [Formula presented] is evaluated numerically for spin chains of up to 20 spins. For the equilibrium case [Formula presented] we find the expected Gaussian fluctuations away from the critical point, while the critical order-parameter fluctuations are shown to be non-Gaussian with a scaling function [Formula presented] strongly dependent on the boundary conditions. When [Formula presented] the system displays long-range, oscillating correlations but [Formula presented] is a Gaussian nevertheless, and the width of the Gaussian decreases with increasing [Formula presented] In particular, we find that, at critical transverse field, the width has a [Formula presented] asymptotic in the [Formula presented] limit.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
Publication statusPublished - Jan 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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