Williams, Stephen; Evans, Denis
Amorphous solids are typically nonergodic and thus a more general formulation of statistical mechanics, with a clear link to thermodynamics, is required. We present a rigorous development of the nonergodic statistical mechanics and the resulting thermodynamics for a canonical ensemble, where the 6N dimensional phase space contains a set of distinct nonoverlapping domains. An ensemble member which is initially in one domain is assumed to remain there for a time long enough that the distribution...[Show more]
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