The linear response approach to the Fokker-Planck equation; 3: A deterministic and chaotic booster

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

DOI:https://doi.org/10.1142/S0217979294000580· OSTI ID:7140616

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 apply the theory developed in part 1 to two deterministic nonlinear systems with few degrees of freedom (mappings). The first mapping considered is known to exactly satisfy the prescriptions laid down in 1 to obtain the Fokker-Planck equation associated to Brownian motion. For the second mapping, due to its more complex form, it is not possible to prove analytically that it too satisfies the prescriptions of 1; however, the authors show numerically that this fact is plausible, at least in the chaotic regime. For both cases the authors show that indeed Brownian motion for the variable of interest w arises. They conclude arguing that the theory developed in 1 is generally applicable to systems for which the thermal bath'' is in a fully chaotic state.

• OSTI ID: 7140616
• 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
FOKKER-PLANCK EQUATION
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
STOCHASTIC PROCESSES