Abstract
The mathematical techniques of the previous paper are used to calculate the fluctuations of the order parameter for large, finite Kac ring models and their subsystems. It is shown that the fluctuations have a characteristic frequency even in the thermodynamic limit. This indicates that a prepared state far from equilibrium does not behave like a large fluctuation. A simplified version of the Fourier spectrum of the fluctuations is also presented which contains all the general features of finite Kac models and is more amenable to analysis.
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References
M. Dresden, inStudies in Statistical Mechanics, deBoer and Uhlenbeck, eds., North-Holland, Amsterdam (1962), Vol. 1, p. 303.
M. Kac,Am. J. Math. 65:609 (1943).
N. B. Slater,Theory of Unimodular Reactions, Cornell University Press, Ithaca, New York (1959), p. 74.
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Mandeville, G., Coopersmith, M. Irreversible behavior of interacting systems. II. Fluctuations in equilibrium. J Stat Phys 10, 405–420 (1974). https://doi.org/10.1007/BF01008802
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DOI: https://doi.org/10.1007/BF01008802