Transport reversal in a thermal ratchet

ElsevierRamirez Hoyos, P.; Gómez Lozano, V.; Ali, M.; Ensinger, W.; Mafé, S. (2013) ABSTRACTWe have studied experimentally and theoretically the rectifying properties of a single asymmetric nanopore functionalized with amphoteric lysine groups and characterized the net current obtained with zero-average time dependent potentials. The pH-controlled rectification phenomena may be relevant to bio-electrochemistry, pH sensing and regulation, and energy conversion.

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“…Therefore, <I> can be estimated from the experimental currents of Fig. 1C invoking the adiabatic limit [3][4][5]:…”

Section: Resultsmentioning

confidence: 99%

“…When Brownian particles are subject to driving forces showing time correlations, net currents can be obtained from zero-average forces in ratchet systems [1][2][3][4][5]. Ratchet-based procedures are useful in gel electrophoresis [6] and electronic switching in logic circuits [7].…”

Section: Introductionmentioning

confidence: 99%

Net currents obtained from zero-average potentials in single amphoteric nanopores

Ramı́rez

Gómez

Ali

et al. 2013

Electrochemistry Communications

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“…There are two central topics as to the studies of Brownian motors: one is the velocity properties of the transport of the Brownian particles [36][37][38][39][40][41]; and another is the thermodynamic properties [13,14,20,35,42], i.e., the mechanism and efficiency of energy conversion of the Brownian motor. Derényi et al [43] gave a definition of generalized efficiency of the microscopic engines and analyzed its application to a Brownian heat engine.…”

Section: Introductionmentioning

confidence: 99%

“…[28,36,75,83], a generalized model of thermal Brownian refrigerator is established in this paper, in which heat flow via the kinetic energy as well as the irreversibility of heat leakage between the heat reservoirs are taken into account. The optimal performance and parameters of the generalized Brownian refrigerator model are further analyzed using the theory and method of FTT.…”

Section: Introductionmentioning

confidence: 99%

A generalized model of an irreversible thermal Brownian refrigerator and its performance

Chen

Ding

Sun

2011

Applied Mathematical Modelling

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a b s t r a c tA generalized model of an irreversible thermal Brownian refrigerator, which consists of Brownian particles moving in a periodic sawtooth potential with external forces and contacting with the alternating hot and cold reservoirs along the space coordinate, is established in this paper. The heat flows driven by both potential and kinetic energies of the particles as well as the heat leakage between the hot and cold reservoirs are taken into account. The optimum performance of the generalized model is analyzed using the theory and method of finite time thermodynamics. The analytical expressions for cooling load, coefficient of performance (COP) and power input of the Brownian refrigerator are derived. It is shown by numerical examples that due to the heat leakage between the heat reservoirs and heat flow via the change of kinetic energy of the particles, the Brownian refrigerator is always irreversible and the COP can never attain the Carnot COP. The influences of the heat leakage, the external force, barrier height of the potential, asymmetry of the sawtooth potential and temperature ratio of the heat reservoirs on the performance of the Brownian refrigerator are also investigated in detail. The effective regions of external force and barrier height of the potential in which the Brownian motor can operate as a refrigerator are determined. It is found that the performance of the Brownian refrigerator depends strictly on the design parameters. If these design parameters are properly chosen, the Brownian refrigerator can be controlled to operate in the optimal regimes. The results obtained herein about the general Brownian refrigerator model include those obtained in many previous literatures.

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“…This subject was motivated by the challenge to explain unidirectional transport in biological systems, as well as potential technological applications ranging from classical nonequilibrium models to quantum systems [4,5]. The bistable system driven by noise is one of the simplest problems.…”

Section: Introductionmentioning

confidence: 99%

Transient properties of a bistable kinetic model with quantum corrections

Ai¹,

Zheng²,

Xie³

et al. 2006

Open Physics

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Abstract:The transient properties of a Brownian particle moving in a bistable system with quantum corrections are investigated. The Quantum Smoluchowski Equation (QSE) is fully valid for high temperatures; for low temperatures it is valid only in a restricted domain of the state space. The quantum effects in a bistable system stand out for low temperatures. Explicit expressions of the mean first-passage time (MFPT) are obtained by using a steepest-descent approximation. The quantum effects are against the particle moving towards the destination from its original position.

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Transport reversal in a thermal ratchet

Cited by 22 publications

References 46 publications

Net currents obtained from zero-average potentials in single amphoteric nanopores

Net currents obtained from zero-average potentials in single amphoteric nanopores

A generalized model of an irreversible thermal Brownian refrigerator and its performance

Transient properties of a bistable kinetic model with quantum corrections

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