Tapping Thermodynamics of the One Dimensional Ising Model

Details Tapping Thermodynamics of the One Dimensional Ising Model Tapping Thermodynamics of the One Dimensional Ising Model

2001-02-12

arxiv.org/abs/cond-mat/0102204v1

J PHYS A-MATH GEN 34 (14): L213-L220 APR 13 2001

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures

Scientific paper

10.1088/0305-4470/34/14/101

We analyse the steady state regime of a one dimensional Ising model under a tapping dynamics recently introduced by analogy with the dynamics of mechanically perturbed granular media. The idea that the steady state regime may be described by a flat measure over metastable states of fixed energy is tested by comparing various steady state time averaged quantities in extensive numerical simulations with the corresponding ensemble averages computed analytically with this flat measure. The agreement between the two averages is excellent in all the cases examined, showing that a static approach is capable of predicting certain measurable properties of the steady state regime.

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