Stochastic resonance and 1/f noise at coupled phase transitions

The system of two nonlinear stochastic equations simulating 1/f fluctuations during the interaction of nonequilibrium phase transitions in the presence of an external periodic action has been studied by numerical methods. It is shown that in the system there appears stochastic resonance, which leads to an amplification of the output periodic signal under the action of noise.

[1]  E. Montroll,et al.  Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: A tale of tails , 1983 .

[2]  Peter Grigg,et al.  Effects of Colored Noise on Stochastic Resonance in Sensory Neurons , 1999 .

[3]  H. Stanley,et al.  Scaling, Universality, and Renormalization: Three Pillars of Modern Critical Phenomena , 1999 .

[4]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[5]  Fabio Marchesoni,et al.  Resonant trapping: A failure mechanism in switch transitions , 1997 .

[6]  Maximum entropy and stability of a random process with a 1/f power spectrum under deterministic action , 2012 .

[7]  Self-organized criticality and 1/f-noise at interacting nonequilibrium phase transitions , 2001 .

[8]  V. P. Koverda,et al.  Maximum entropy in a nonlinear system with a 1/f power spectrum , 2012 .

[9]  Jung,et al.  Amplification of small signals via stochastic resonance. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[10]  Self-organized criticality and 1/f fluctuation under conditions of nonequilibrium phase transitions , 2001 .

[11]  C. Tsallis Possible generalization of Boltzmann-Gibbs statistics , 1988 .

[12]  V. Skokov,et al.  The origin of 1/f fluctuations and scale transformations of time series at nonequilibrium phase transitions , 2005 .

[13]  V. Skokov,et al.  Self-organization of a critical state and 1/fα-fluctuations at film boiling , 1999 .

[14]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[15]  1/f fluctuations under acoustic cavitation of liquids , 2006 .

[16]  J. García-Ojalvo,et al.  Effects of noise in excitable systems , 2004 .

[17]  H. Stanley,et al.  Introduction to Phase Transitions and Critical Phenomena , 1972 .

[18]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.

[19]  D Nozaki,et al.  Mechanism of stochastic resonance enhancement in neuronal models driven by 1/f noise. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  A. G. Bashkirov Renyi entropy as a statistical entropy for complex systems , 2006 .

[21]  V. Skokov,et al.  An origin of 1/f fluctuations at a nonequilibrium phase transition , 1999 .