Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Computer Studies of Ergodicity in Coupled Oscillators with Anharmonic Interaction
Nobuhiko SaitôHajime Hirooka
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ジャーナル 認証あり

1967 年 23 巻 2 号 p. 167-171

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Computer studies are made of the long time behavior of the anharmonic lattice vibration, since the harmonic lattice is known not to have ergodicity. The system consists of N+2 particles connected by springs which have linear as well as quadratic force terms. The equation of motion for this system is solved by means of a computer for the cases N=4, and N=8. Long time averages of the kinetic energy for each particle and the correlation between velocities of neighboring particles are examined with the expectation in mind that the establishment of equilibrium may be obtained in contrast to the case of the harmonic lattice. However, similar results as in the case of harmonic lattice are yielded in all the calculations, namely, the system of particles shows very little tendency toward the vanishing of the correlation between the velocities of the nearest neighbor particles.
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