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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-10-13
摘要
The Fermi-Pasta-Ulam (FPU) one-dimensional Hamiltonian includes a quartic term which guarantees 遍歷ity of the system in the 熱力學 limit. Consistently, the Boltzmann factor P(is an element of) similar to e-(beta is an element of) describes its equilibrium distribution of one-body energies, and its velocity distribution is Maxwellian, i.e., P(v) similar to e-(beta v2/2). We consider here a generalized system where the quartic coupling constant between sites decays as 1/d(ij)(alpha) (alpha >= 0; d(ij) = 1, 2,...). Through first-principle molecular dynamics we demonstrate that, for large a (above alpha 1), i.e., short-range interactions, Boltzmann statistics (based on the additive entropic functional S-B[P(z)] = k integral dzP(z) In P(z)) is verified. However, for small values of a (below alpha 1
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