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- W2007079809 abstract "The behaviour in time of a local phase function in a large system of harmonic oscillators approaches that of an ergodic phase function when the size of the system increases. This fact was established in a previous paper for the case in which periodic boundary conditions are imposed upon the system. In the present paper we give a more abstract approach to the same problem and show that the result is largely independent of the precise boundary conditions used. Moreover we prove some additional asymptotic ergodic properties of local phase functions, in particular that they form a K system in the sense of Kolmogorov and Sinai. In all of this the restriction to local phase functions is essential. The physical meaning of the result is that a large system acts as a good heat bath for a small subsystem. It is not claimed that the large system as a whole approaches ergodic behaviour." @default.
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- W2007079809 date "1973-12-01" @default.
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- W2007079809 title "Ergodic features of harmonic-oscillator systems. III. Asymptotic dynamics of large systems" @default.
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- W2007079809 doi "https://doi.org/10.1016/0031-8914(73)90357-1" @default.
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