Prog. Theor. Phys. Vol. 28 No. 6 (1962) pp. 1059-1064
Heat Flow in the Linear Chain of Harmonically Coupled Particles
Physics Department, Kyoto University, Kyoto
(Received August 16, 1962)
Considering a ring which consists of 2N coupled harmonic oscillators, an initial ensemble is introduced, which corresponds to such an initial macroscopic state that a half of the system is at temperature T and the other half is at temperature zero. With this ensemble the average kinetic energy of a particle as a function of time t is calculated. By taking the limit N →∞, it can be concluded that the average value of kinetic energy of each particle approaches the equilibrium value kT/4 as t →∞. These results are compared with the solution of the differential equation of heat flow in an infinite rod.
DOI : 10.1143/PTP.28.1059
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Citing Article(s) :
Progress of Theoretical Physics Vol. 31 No. 6 (1964) pp. 1176-1178
Heat Flow in a System of Coupled Harmonic Oscillators
Éi Iti Takizawa and Keiko Kobayashi