Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory

Evstigneev M, Reimann P (2005)
PHYSICAL REVIEW E 72(4).

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Abstract
We consider periodically driven noisy systems in the limit of long times. To deduce their asymptotic time-periodic probability distributions, two approaches are commonly used: adiabatic theory, valid if driving is very slow, and linear-response theory, applicable when driving is weak. We introduce an approximation scheme that combines these two approaches to yield the driven probability distribution even when driving is strong and moderately fast, so that both linear-response and adiabatic approximations break down. The high accuracy of this scheme is demonstrated on a driven overdamped noisy oscillator in a bistable quartic potential.
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Evstigneev M, Reimann P. Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory. PHYSICAL REVIEW E. 2005;72(4).
Evstigneev, M., & Reimann, P. (2005). Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory. PHYSICAL REVIEW E, 72(4).
Evstigneev, M., and Reimann, P. (2005). Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory. PHYSICAL REVIEW E 72.
Evstigneev, M., & Reimann, P., 2005. Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory. PHYSICAL REVIEW E, 72(4).
M. Evstigneev and P. Reimann, “Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory”, PHYSICAL REVIEW E, vol. 72, 2005.
Evstigneev, M., Reimann, P.: Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory. PHYSICAL REVIEW E. 72, (2005).
Evstigneev, Mykhaylo, and Reimann, Peter. “Probability densities of periodically driven noisy systems: An approximation scheme incorporating linear-response and adiabatic theory”. PHYSICAL REVIEW E 72.4 (2005).
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33 References

Data provided by Europe PubMed Central.

Rocking bistable systems: Use and abuse of linear response theory
Casado-Pascual, EPL (Europhysics Letters) 58(3), 2002
Rate description of Fokker-Planck processes with time-dependent parameters.
Talkner P, Luczka J., Phys Rev E Stat Nonlin Soft Matter Phys 69(4 Pt 2), 2004
PMID: 15169071
Rate description in friction force microscopy
Evstigneev, EPL (Europhysics Letters) 67(6), 2004

CHATTAH, Modern Physics Letters B 10(22), 1996
Solutions of the Fokker-Planck equation for a double-well potential in terms of matrix continued fractions
Voigtlaender, Journal of Statistical Physics 40(3-4), 1985
Quasiadiabatic solutions of Fokker Planck equations with time-dependent drift and fluctuations coefficients
Weidlich, Zeitschrift für Physik B Condensed Matter 39(1), 1980
Thermal activation in bistable systems under external periodic forces
Jung, Zeitschrift für Physik B Condensed Matter 76(4), 1989
Dynamic Susceptibility of Classical Anharmonic Oscillator
Onodera, Progress of Theoretical Physics 44(6), 1970

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