Memory Effects of Simple Cubic Lattice Models
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概要
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Random thermal motions of an isotopic impurity in a simple cubic lattice are studied from the viewpoint of memory effects in irreversible processes. The generalized Langevin equation derived by Mori is used as our starting point. A general procedure to calculate a damping function of the isotope is obtained. Mainly the memory effects of a stochastic process {x(t),p(t)} are studied in a system with nearest neighbour harmonic interactions, where x(t) and p(t) are chosen as the displacement of the isotope from the equilibrium position and its momentum, respectively. One interesting point is that the damping function changes its feature sharply as the parameters characterizing our lattice model approach those of two-dimensional lattice. Rubin's results on the statistical dynamics of a heavy particle are re-examined from the above standpoints, and it is found that the non-Brownian motion of the heavy particle in two-dimensional lattice results from the too long tail of the memory.
- 理論物理学刊行会の論文
- 1971-09-25
著者
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Munakata Toyonori
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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Tsurui Akira
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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