Colored thermal noise driven dynamical system in the presence and absence of non-equilibrium constraint: time dependence of information entropy flux and entropy production

Goswami, Gurupada; Mukherjee, Biswajit; Bag, Bidhan Chandra

doi:10.1016/j.chemphys.2004.11.020

Cited by 19 publications

(5 citation statements)

References 24 publications

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“…Stochastic resonance as a new method to enhance weak signals, how noise affects the system has attracted the attention of researchers in various subject areas. Goswami et al [1] studied the relaxation problem under nonequilibrium constraints, Hohenegger et al [2] discovered the average first-pass time as a function of particle radius. In communication signal processing, Peng Hao et al [3] proposed a fractional-order coupled system under three-state excitation for depicting the motion of coupled particles with mass rise and fall in an elastic medium and gave a response explanation for the system amplitude gain.…”

Section: Introductionmentioning

confidence: 99%

Detection of Weak Signals Under Low SNR Stochastic Resonance System

Ji,

Zhao,

et al. 2023

IEEE Access

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To solve the problem that weak signals are difficult to detect accurately in low signal-to-noise ratios, this paper presents a method to achieve effective detection of weak signals, applying the method of stochastic resonance to bistable systems. The principle of the method is that by transferring part of the noise energy to the signal energy, enabling the detection of weak signals at low signal-to-noise ratios. It makes it easier to extract the signal at the receiving end. This model designs a parametrized conditioning system based on the factors influencing the output power spectrum and output SNR of a stochastic resonant system. Based on the experimental results, the influence of parameters a and b on the model can be analysed, and the optimal noise intensity range of the system can be found. At the receiving end of the system, the constellation diagram and BER are used as a measure of system performance. Simulation experiments show that stochastic resonance can effectively enhance the energy of weak signals under low signal-to-noise conditions, and the demodulation performance of the system is significantly better than that of the system without the use of stochastic resonance.

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Section: Introductionmentioning

confidence: 99%

Detection of Weak Signals Under Low SNR Stochastic Resonance System

Ji,

Zhao,

et al. 2023

IEEE Access

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“…Introduction of additional variables may be necessary [18]. Using auxiliary variables one may have the continuity equations [15,21,22,[25][26][27] which is an effective Markovian description of a given non-Markovian system in the extended phase space. But in some cases such as for a linear system one may derive the Fokker-Planck equation for the non-Markovian dynamics without using the additional variable(s) [9][10][11][12][13]23].…”

Section: Introductionmentioning

confidence: 99%

A shortcut way to the Fokker-Planck equation for the non-Markovian dynamics

Das¹,

Biswas²,

Bag³

2020

Preprint

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Using a shortcut way we have derived the Fokker-Planck equation for the Langevin dynamics with a generalized frictional memory kernel and time-dependent force field. Then we have shown that this method is applicable for the non-Markovian dynamics with additional force from harmonic potential or magnetic field or both of them. The simplicity of the method in these complex cases is highly noticeable and it is applicable to derive the Fokker-Planck equation for any kind of linear Langevin equation of motion which describes additive colored noise driven non Markovian dynamics with or without frictional memory kernel. For example, one may apply the method even for the linear system with an additional colored Gaussian noise which is not related to the damping strength. With these the present study may get strong attention in the field of stochastic thermodynamics which is now at early stage to consider the non-Markovian dynamics.

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“…Wang and Mei [20] studied a dissipative system subjected to multiplicative and additive coloured noise with nonzero cross-correlation time. However, most studies of the information entropy neglect the possible effects caused by the time delays, [11,14,21,22] that is to say, the information entropy and relevant quantities of the dissipative system, which are driven by the noise with a time delay, cannot be well understood.…”

Section: Introductionmentioning

confidence: 99%