BROWNIAN-MOTION IN THE PRESENCE OF A TEMPERATURE-GRADIENT

被引:81
作者
PEREZMADRID, A [1 ]
RUBI, JM [1 ]
MAZUR, P [1 ]
机构
[1] LEIDEN UNIV,INST LORENTZ,2300 RA LEIDEN,NETHERLANDS
来源
PHYSICA A | 1994年 / 212卷 / 3-4期
关键词
D O I
10.1016/0378-4371(94)90329-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By considering an ensemble of Brownian particles suspended in a heat bath as a thermodynamic system with an internal degree of freedom it is possible to obtain the Fokker-Planck equation for Brownian motion in a temperature gradient, by applying the scheme of non-equilibrium thermodynamics. We recover explicitely the equations derived in particular by Zubarev and Bashkirov using statistical mechanical and kinetic methods. In addition when the temperature gradient does not have an externally imposed magnitude we obtain the differential equation for the temperature field, which is coupled to the Fokker-Planck equation.
引用
收藏
页码:231 / 238
页数:8
相关论文
共 5 条
[1]  
DEGROOT SR, 1984, NONEQUILIBRIUM THERM, pCH9
[2]   ZUR STATISTISCHEN THERMODYNAMIK IRREVERSIBLER PROZESSE [J].
MEIXNER, J .
ZEITSCHRIFT FUR PHYSIK, 1957, 149 (05) :624-646
[4]   SUR LEXTENSION DE LA THERMODYNAMIQUE AUX PHENOMENES IRREVERSIBLES LIES AUX DEGRES DE LIBERTE INTERNES [J].
PRIGOGINE, I ;
MAZUR, P .
PHYSICA, 1953, 19 (02) :241-254
[5]   STATISTICAL THEORY OF BROWNIAN MOTION IN A MOVING FLUID IN PRESENCE OF A TEMPERATURE GRADIENT [J].
ZUBAREV, DN ;
BASHKIROV, AG .
PHYSICA, 1968, 39 (03) :334-+