Abstract
We demonstrate with the example of Cahn-Hilliard dynamics that the macroscopic kinetics of first-order phase transitions exhibits an infinite number of constants of motion. Moreover, this result holds in any space dimension for a broad class of nonequilibrium processes whose macroscopic behavior is governed by equations of the form ∂φ/∂t = ℒW(φ), where Φ is an “order parameter,”W is an arbitrary function of Φ, and ℒ is a linear Hermitian operator. We speculate on the implications of this result.
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Communicated by J. L. Lebowitz
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Mineev-Weinstein, M.B., Alexander, F.J. Conserved moments in nonequilibrium field dynamics. J Stat Phys 79, 1013–1022 (1995). https://doi.org/10.1007/BF02181214
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DOI: https://doi.org/10.1007/BF02181214