Non-Universal Finite Size Effects with Universal Infinite-Size Free Energy for the α-XY Model(COMPLEXITY AND NONEXTENSIVITY:NEW TRENDS IN STATISTICAL MECHANICS)
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概要
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We study finite size effects in a family of systems in which a parameter controls interaction-range. In the long-range regime where the infinite-size free energy is universal, we show that the finite size effects are not universal but depend on the interaction-range. The finite size effects are observed through discrepancies between time-averages of macroscopic variables in Hamiltonian dynamics and canonical averages of ones with infinite degrees of freedom. For a high energy regime, the relation to a pair of the discrepancies is theoretically predicted and numerically confirmed. We also numerically show that the finite-size effects of macroscopic variables in the canonical ensemble are close to ones in the dynamical systems.
- 理論物理学刊行会の論文
- 2006-06-05
著者
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YAMAGUCHI Yoshiyuki
Department of Surgical Oncology, Research Institute for Nuclear Medicine and Biology, Hiroshima Univ
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Yamaguchi Yoshiyuki
Department Of Applied Mathematics And Physics Kyoto University
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GOTO Shin-itiro
Department of Applied Mathematics and Physics, Kyoto University
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Goto Shin-itiro
Department Of Applied Mathematics And Physics Kyoto University
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YAMAGUCHI Yoshiyuki
Department of Applied Mathematics and Physics, Kyoto University
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