Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-07-09
J. Phys. A: Math. Gen. 37, 9 (2004)
Physics
Condensed Matter
Statistical Mechanics
35 Pages, 4 Figures
Scientific paper
10.1088/0305-4470/37/1/002
The 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.
Mayer Peter
Sollich Peter
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