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29 March 2024
 
  » arxiv » cond-mat/0307214

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General Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising Chain
Peter Mayer ; Peter Sollich ;
Date 9 Jul 2003
Journal J. Phys. A: Math. Gen. 37, 9 (2004) DOI: 10.1088/0305-4470/37/1/002
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractThe kinetic Glauber-Ising spin chain is one of the very few exactly solvable models of non-equilibrium statistical mechanics. Nevertheless, existing solutions do not yield tractable expressions for two-time correlation and response functions of observables involving products of more than one or two spins. We use a new approach to solve explicitly the full hierarchy of differential equations for the correlation and response functions. From this general solution follow closed expressions for arbitrary multispin two-time correlation and response functions, for the case where the system is quenched from equilibrium at T_i > 0 to some arbitrary T >= 0. By way of application, we give the results for two and four-spin two-time correlation and response functions. From the standard mapping, these also imply new exact results for two-time particle correlation and response functions in one-dimensional diffusion limited annihilation.
Source arXiv, cond-mat/0307214
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