The linear response approach to the Fokker-Planck equation; 1: Theory

Journal Article · Wed Apr 20 04:00:00 EDT 1994 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979294000567· OSTI ID:6924449

Bianucci, M ^[1]; Mannella, R; Grigolini, P ^[2]; West, B J ^[3]

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1. GNSM del CNR, Pisa (Italy). Dipt. di Fisica Univ. di Pavia (Italy). Dipt. di Fisica
2. GNSM del CNR, Pisa (Italy). Dipt. di Fisica
3. Univ. of North Texas, Denton, TX (United States). Dept. of Physics

The authors show that a Brownian motion can be derived for a particle coupled to a bath with a finite number of chaotic degrees of freedom, using no thermodynamics assumptions. They point out that although diffusion is easily derived in terms of the unperturbed bath via the central limit theorem, friction is obtained only when the coupling between particle of interest and bath is considered. The only assumption made is that the bath should respond linearly (in statistical sense) to a weak external perturbation. They prove that the calculation of the friction can be traced back to the bath susceptibility.

• OSTI ID: 6924449
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 8:9; ISSN IJPBEV; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BROWNIAN MOVEMENT
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUCTUATIONS
FOKKER-PLANCK EQUATION
IRREVERSIBLE PROCESSES
PARTIAL DIFFERENTIAL EQUATIONS
THERMODYNAMICS
VARIATIONS