Quick Search:
Prog. Theor. Phys. Vol. 28 No. 6 (1962) pp. 1059-1064
Heat Flow in the Linear Chain of Harmonically Coupled Particles
Ei Teramoto
Physics Department, Kyoto University, Kyoto
(Received August 16, 1962)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/28/1059/
DOI : 10.1143/PTP.28.1059
References:
-
P. Mazur and E. Montroll, J. Math. Phys. 1 (1960), 70[CrossRef].
H. L. Frisch, Phys. Rev. 104 (1956), 1[APS];
ibid. 109 (1958), 22[APS].
P. C. Hemmer and H. Wergeland, Kongelige Norske Videnskab. Selskab 30 (1957), 137.
-
R. E. Turner, Physica 26 (1960), 269[CrossRef];
ibid. 26 (1960) 274[CrossRef].
-
R. J. Rubin, J. Math. Phys. 1 (1960), 309[CrossRef];
ibid. 2 (1961), 273[AIP Scitation].
- E. Teramoto and S. Takeno, Prog. Theor. Phys. 24 (1960), 1349[PTP].
- S. Kashiwamura, Prog. Theor. Phys. 27 (1962), 571[PTP].
-
A. A. Maradudin, G. H. Weiss and D. W. Jepsen, J. Math. Phys. 2 (1961), 349[CrossRef].
-
R. Zwanzig, J. Math. Phys. 2 (1961), 370[CrossRef].
-
Y. Kogure, J. Phys. Soc. Jpn. 16 (1961), 14[JPSJ].
-
J. Hori, J. Math. Phys. 3 (1962), 382[CrossRef].
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
