Frequency Dependent Mobility of the Sine-Gordon Chain

作者: Masatoshi Imada

DOI: 10.1143/JPSJ.50.401

关键词: Chemical substancePhysicsMathematical analysisDistribution functionTransfer (group theory)SineDecoupling (cosmology)Chain (algebraic topology)ImaginationQuantum mechanicsPhase spaceGeneral Physics and Astronomy

摘要: Linear response is investigated for the sine-Gordon chain. This a direct application of method introduced in previous paper. 1) The transfer integral applied. Fokker-Planck equation solved with kind decoupling approximation phase space distribution function. frequency dependent mobility obtained. It has remarkable peak at finite and small ω=0 an appropriate choice damping constant.

参考文章(10)
Hidetoshi Fukuyama, Pinning in Peierls-Fröhlich State and Conductivity Journal of the Physical Society of Japan. ,vol. 41, pp. 513- 520 ,(1976) , 10.1143/JPSJ.41.513
L. Pietronero, S. Strässler, G. A. Toombs, Theory of the conductivity of the pinned Fröhlich charge density wave Physical Review B. ,vol. 12, pp. 5213- 5218 ,(1975) , 10.1103/PHYSREVB.12.5213
P. Fulde, L. Pietronero, W. R. Schneider, S. Strässler, Problem of Brownian Motion in a Periodic Potential Physical Review Letters. ,vol. 35, pp. 1776- 1779 ,(1975) , 10.1103/PHYSREVLETT.35.1776
Masatoshi Imada, Linear Response of One Dimensional Nonlinear System. I. Dynamical Properties of the φ4Chain Journal of the Physical Society of Japan. ,vol. 47, pp. 699- 705 ,(1979) , 10.1143/JPSJ.47.699
Masatoshi Imada, Linear Response of One Dimensional Nonlinear System. II Journal of the Physical Society of Japan. ,vol. 49, pp. 1247- 1254 ,(1980) , 10.1143/JPSJ.49.1247
Nobukazu Teranishi, Ryogo Kubo, On Impurity Pinning of One-Dimensional Charge Density Waves Journal of the Physical Society of Japan. ,vol. 47, pp. 720- 728 ,(1979) , 10.1143/JPSJ.47.720
M. J. Rice, A. R. Bishop, J. A. Krumhansl, S. E. Trullinger, Weakly Pinned Fröhlich Charge-Density-Wave Condensates: A New, Nonlinear, Current-Carrying Elementary Excitation Physical Review Letters. ,vol. 36, pp. 432- 435 ,(1976) , 10.1103/PHYSREVLETT.36.432
P. Brüesch, S. Strässler, H. R. Zeller, Frequency-dependent conductivity and dielectric function of superionic conductors Physica Status Solidi (a). ,vol. 31, pp. 217- 226 ,(1975) , 10.1002/PSSA.2210310124
B. A. Huberman, P. N. Sen, Dielectric Response of a Superionic Conductor Physical Review Letters. ,vol. 33, pp. 1379- 1382 ,(1974) , 10.1103/PHYSREVLETT.33.1379
Hazime Mori, Transport, Collective Motion, and Brownian Motion Progress of Theoretical Physics. ,vol. 33, pp. 423- 455 ,(1965) , 10.1143/PTP.33.423