Fluctuation-induced transport in a spatially symmetric periodic potential

Li, Cao; Wu, Di

doi:10.1103/physreve.62.7478

Cited by 63 publications

(32 citation statements)

References 33 publications

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“…[29] and is also similar to results obtained for the Langevin dynamics of Brownian particles in the asymmetric problems discussed in Sec. III C 2 [7,8,12,96]. We emphasize that whereas the resonance of this Brownian particle occurs in "noise rectifiers" with zero applied bias, we are instead discussing the effects of noise on a system with a nonzero average bias.…”

Section: Numericsmentioning

confidence: 99%

Fluctuating-bias controlled electron transport in molecular junctions

2016

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We consider the problem of transport through a multiterminal molecular junction in the presence of a stochastic bias, which can also be used to describe transport through fluctuating molecular energy levels. To describe these effects, we first make a simple extension of our previous work [Phys. Rev. B 91, 125433 (2015)] to show that the problem of tunneling through noisy energy levels can be mapped onto the problem of a noisy driving bias, which appears in the Kadanoff-Baym equations for this system in an analogous manner to the driving term in the Langevin equation for a classical circuit. This formalism uses the nonequilibrium Green's function method to obtain analytically closed formulas for transport quantities within the wide-band limit approximation for an arbitrary time-dependent bias and it is automatically partition free. We obtain exact closed formulas for both the colored and white noise-averaged current at all times. In the long-time limit, these formulas possess a Landauer-Büttiker-type structure which enables the extraction of an effective transmission coefficient for the transport. Expanding the Fermi function into a series of simple poles, we find an exact formal relation between the parameters which characterize the bias fluctuations and the poles of the Fermi function. This enables us to describe the effect of the temperature and the strength of the fluctuations on the averaged current which we interpret as a quantum analog to the classical fluctuation-dissipation theorem. We use these results to convincingly refute some recent results on the multistability of the current through a fluctuating level, simultaneously verifying that our formalism satisfies some well-known theorems on the asymptotic current. Finally, we present numerical results for the current through a molecular chain which demonstrate a transition from nonlinear to linear I -V characteristics as the strength of fluctuations is increased, as well as a stochastic resonance effect in the conductance of this system.

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Section: Numericsmentioning

confidence: 99%

Fluctuating-bias controlled electron transport in molecular junctions

2016

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“…In 1998, a noise-induced transport system with an asymmetric total noise composed of two correlated symmetric noise sources has been proposed by Li and Huang [7,8]. Recently the noise-induced transport in a spatially symmetric periodic potential with white correlation between the additive noise and the multiplicative noise are investigated by some researchers [9][10][11][12][13]. They showed that the correlation noises produce significant impact.…”

Section: Introductionmentioning

confidence: 97%

Effect of the Noise Correlation Time on the Stationary Current of Brownian Particle in a Spatially Symmetric Periodic Potential

Wang

Mei

2007

Int J Theor Phys

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We investigate the noise-induced transport of Brownian particle in a deterministic spatial symmetrical periodic potential driven by colored cross correlation between a multiplicative white noise and an additive white noise. We derive the general formula of the stationary current. Based on numerical computation, we found that directed motion of the Brownian particles can be induced by the correlation time τ of cross correlation between the multiplicative noise and the additive noise and the current reversal and the direction of the current is controlled by the τ .

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“…Also Madureira et al pointed out that fluctuations in some of the model parameters lead to noise contribution of both additive and multiplicative character, and are also not independent [27]. The effect of correlations between additive and multiplicative noise, either on a stationary state or on dynamics of the bistable potential system, have been widely studied [25,26,[28][29][30][31][32][33]. In the present paper we have studied a related issue.…”

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confidence: 94%

“…Since the interaction with non-thermal environment is relatively stronger than the thermal environment, multiplicative and additive noises in (2) are due to non-thermal and thermal environments respectively. We assume that the correlation time of the ζ(t) and η(t) are non-zero [31][32][33][34][35].…”

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confidence: 99%

Colored Cross-Correlated Noises Driven Dynamical Systems: Time Dependence of Information Entropy and Its Time Derivative

2007

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In this paper we have studied information entropy and its time derivative for colored cross-correlated noise driven open systems. These quantities are calculated based on the Fokker-Planck description of stochastic processes. Our results consider the effect of the noise correlation strength and correlation time due to the correlation between additive and multiplicative white noises on the information entropy as well as relaxation time. The interplay of deterministic and random forces reveals non-monotonic behavior in the variation of the information entropy with damping constant.Study of noise driven dynamical system is always an intriguing issue in physics since random processes are ubiquitous in almost all disciplines of natural sciences such as physics, chemistry, biology [1-6]. An appropriate tool for the study of stationary and non-stationary states [7][8][9][10][11][12][13][14][15][16] in stochastic processes is Shanon's information measure [17,18] which typically is not a conserved quantity. Here W (q, t) is the continuous probability distribution. S as defined in the above equation is called information entropy. The time derivative of information entropy (dS/dt) is related to another very important quantity, Fisher's information measure [19]. Recent studies [7][8][9][10][11][12][19][20][21] show that these quantities are vital to the study of the stochastic process in detail. The dS/dt has been studied in the context of Brownian motion in the presence of temperature gradient and thermodynamics beyond local equilibrium in Refs. [22,23]. It has been also studied even in the social science (the majority-vote model) [15]. There [15] authors showed that the time derivative of information entropy exhibits a singularity at the critical point. In Ref.[16] authors has been studied

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Fluctuation-induced transport in a spatially symmetric periodic potential

Cited by 63 publications

References 33 publications

Fluctuating-bias controlled electron transport in molecular junctions

Fluctuating-bias controlled electron transport in molecular junctions

Effect of the Noise Correlation Time on the Stationary Current of Brownian Particle in a Spatially Symmetric Periodic Potential

Colored Cross-Correlated Noises Driven Dynamical Systems: Time Dependence of Information Entropy and Its Time Derivative

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