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- W10439123 abstract "The aim of these notes is to provide a set of examples which may give some insight into the behaviour of ‘real’ statistical mechanical systems. Simulations are performed using MAPLE. In each case the time-evolution of the Boltzmann entropy is explored. This can be defined as follows. Consider a system, which at time t has microstate given by x(t) ∈ ΓN . 1 Macrostates (observable states) are defined by a set Ξ of macroscopic variables. Let the set of macrostates be {μ}Ξ. They are so defined that every x ∈ ΓN is in exactly one macrostate denoted by μ(x) and the mapping x → μ(x) is many-one. Every macrostate μ is associated with its ‘volume’ V(μ) = Vμ in ΓN . 3 We thus have the map x → μ(x) → Vμ(x) from ΓN to < + or N. The Boltzmann entropy is defined by" @default.
- W10439123 created "2016-06-24" @default.
- W10439123 creator A5023208085 @default.
- W10439123 date "2002-01-01" @default.
- W10439123 modified "2023-09-26" @default.
- W10439123 title "Some Examples of Simple Systems 0" @default.
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