Typicality and statewise entropy for classical field systems
Institute of Physics, University of Tsukuba - 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan
Received: 29 January 2015
Accepted: 10 June 2015
We consider a classical field system with discretized spatial coordinates and a quadratic Hamiltonian. Typicality for the system is shown in the sense that, for functions of state which satisfy certain conditions including the invariance under the spatial translations of the state, the values of the functions at almost all individual states in a microcanonical ensemble are almost equal to their microcanonical ensemble averages. A statewise entropy for the system is constructed in such a way that it satisfies the above conditions and its microcanonical average coincides with the entropy in standard formalism of statistical mechanics.
PACS: 05.20.Gg – Classical ensemble theory
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