Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 57, Issue 7, Pages 1058-1077Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2009.03.006
Keywords
Statistical mechanics; Dissipative systems; Gradient flows; Effective kinetics; Andrade creep
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We develop a theory of statistical mechanics for dissipative systems governed by equations of evolution that assigns probabilities to individual trajectories of the system. The theory is made mathematically rigorous and leads to precise predictions regarding the behavior of dissipative systems at finite temperature. Such predictions include the effect of temperature on yield phenomena and rheological time exponents. The particular case of an ensemble of dislocations moving in a slip plane through a random array of obstacles is studied numerically in detail. The numerical results bear out the analytical predictions regarding the mean response of the system, which exhibits Andrade creep. (C) 2009 Elsevier Ltd. All rights reserved.
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