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Temperature in the classical microcanonical ensemble

2001; American Institute of Physics; Volume: 114; Issue: 9 Linguagem: Inglês

10.1063/1.1348024

1520-9032

G. Rickayzen, J.G. Powles,

Advanced Mathematical Theories and Applications

We show that a formula for the temperature of a classical system, originally given by Rugh, can be generalized. The result is that the inverse of the temperature is proportional to the average of the function ∇.(B/B.∇H), where H is the Hamiltonian of the system and B is an arbitrary vector function of the coordinates in phase space. Special cases of the new formula include a number of familiar results including the virial theorem.