General Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising Chain

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dc.creatorMayer, Peter
dc.creatorSollich, Peter
dc.date2003-07-09
dc.date.accessioned2026-07-07T02:52:15Z
dc.date.available2026-07-07T02:52:15Z
dc.descriptionThe 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.
dc.description35 Pages, 4 Figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0307214
dc.identifierhttp://arxiv.org/abs/cond-mat/0307214
dc.identifierJ. Phys. A: Math. Gen. 37, 9 (2004)
dc.identifierdoi:10.1088/0305-4470/37/1/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21776
dc.subjectStatistical Mechanics
dc.titleGeneral Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising Chain
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