论文信息 - Linear response theory in stochastic resonance

Linear response theory in stochastic resonance

The susceptibility of an overdamped Markov system fluctuating in a bistable potential of general form is obtained by analytic solution of the Fokker-Planck equation (FPE) for low noise intensities. The results are discussed in the context of the LRT theory of stochastic resonance. They go over into recent results of Hu et al. [Phys. Lett. A 172 (1992) 21] obtained from the FPE for the case of a symmetrical potential, and they coincide with the LRT results of Dykman et al. [Phys. Rev. Lett. 65 (1990) 2606; JETP Lett. 52 (1990) 144; Phys. Rev. Lett. 68 (1992) 2985] obtained for the general case of bistable systems.

[1] N. Stocks,et al. Comment on "Stochastic resonance in bistable systems" , 1990, Physical review letters.

[2] N. D. Stein,et al. Zero-dispersion stochastic resonance , 1992 .

[3] A. Messiah. Quantum Mechanics , 1961 .

[4] C. Caroli,et al. Diffusion in a bistable potential: A systematic WKB treatment , 1979 .

[5] D. Sherrington. Stochastic Processes in Physics and Chemistry , 1983 .

[6] Hu,et al. Periodically forced Fokker-Planck equation and stochastic resonance. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[7] N. D. Stein,et al. Stochastic resonance: Linear response and giant nonlinearity , 1993 .

[8] D. Haar,et al. Statistical Physics , 1971, Nature.

[9] H. Risken. Fokker-Planck Equation , 1984 .

[10] Hermann Haken,et al. A study of stochastic resonance without adiabatic approximation , 1992 .

[11] P. McClintock,et al. Phase shifts in stochastic resonance. , 1992, Physical review letters.

[12] Riccardo Mannella,et al. Nonconventional stochastic resonance , 1993 .

[13] N. Kampen,et al. Stochastic processes in physics and chemistry , 1981 .