Energetics of Brownian motors: a review

Parrondo, Juan M. R.; Cisneros, B. Jiménez de

doi:10.1007/s003390201332

Cited by 253 publications

(268 citation statements)

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“…2. Furthermore, the landscape does not have to be flat, namely, it can have valleys and peaks, wider and higher or lower than the average peaks of the ratchet, and the particle can still climb over the peaks provided they are not above the stall load of the ratchet [17]. Full analysis of these cases are beyond the briefness of this report and it will be presented elsewhere.…”

Section: A Ratchet Mechanism Behind Protein Folding?mentioning

confidence: 99%

Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding

González-Candela

Romero-Rochı́n

2006

Physica A: Statistical Mechanics and its Applications

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The overdamped thermal ratchet driven by an external (Orstein-Uhlenbeck) noise is revisited. The ratchet we consider is unbounded in space and not necessarily periodic . We briefly discuss the conditions under which current is obtained by analyzing the corresponding Fokker-Planck equation and its lack of stationary states. Next, two examples in more than one dimension and related to biological systems are presented. First, a two-dimensional model of a "kinesin protein" on a "microtubule" is analyzed and, second, we suggest that a ratchet mechanism may be behind the folding of proteins; the latter is elaborated with a multidimensional ratchet model.

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Section: A Ratchet Mechanism Behind Protein Folding?mentioning

confidence: 99%

Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding

González-Candela

Romero-Rochı́n

2006

Physica A: Statistical Mechanics and its Applications

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“…For a stopping force (too heavy load), the absolute value of the current vanishes and the device stops operating [25,26]. In other words, the ratchet system works as a motor only within the region where the current opposes the load force F 0 and moving particles perform some work.…”

Section: Introductionmentioning

confidence: 99%

Controlling uphill motion of an active Brownian particle driven by shot-noise energy pulses

2013

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We study self-propelled motion of an active Brownian particle moving in a periodic, ratchet-type potential and subject to energy support distributed in quantized portions according to a Poisson spiking process. The motor features of such a system are examined by analyzing its ability to perform work against additional external load. The control parameter of the system is a mean duration time between subsequent energy pulses. Our analysis indicates that directionality of the motion depends strongly on the correlation time between events of energy supply and can be adjusted to maintain optimal functionality of the motor.

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“…Yet the coherent quantum transport in ac-driven periodic potentials is severely hampered by diffusion, additionally enhanced by tunneling effects [20]. The issue of the transport efficiency [21][22][23] now becomes of importance, meaning that one should search for a set of optimal parameters in order to maximize the correspondingly chosen efficiency measure. It is intuitive that the ratchet transport with large transport velocity and minimal dispersion rate would be preferable in the context of the delivery problem.…”

Section: Introductionmentioning

confidence: 99%

Quantum ratchet transport with minimal dispersion rate

et al. 2011

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We analyze the performance of quantum ratchets by considering the dynamics of an initially localized wave packet loaded into a flashing periodic potential. The directed center-of-mass motion can be initiated by the uniform modulation of the potential height, provided that the modulation protocol breaks all relevant time-and spatial-reflection symmetries. A poor performance of quantum ratchet transport is characterized by a slow net motion and a fast diffusive spreading of the wave packet, while the desirable optimal performance is the contrary. By invoking a quantum analog of the classical Péclet number, namely the quotient of the group velocity and the dispersion of the propagating wave packet, we calibrate the transport properties of flashing quantum ratchets and discuss the mechanisms that yield low-dispersive directed transport.

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Energetics of Brownian motors: a review

Cited by 253 publications

References 0 publications

Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding

Overdamped thermal ratchets in one and more dimensions. Kinesin transport and protein folding

Controlling uphill motion of an active Brownian particle driven by shot-noise energy pulses

Quantum ratchet transport with minimal dispersion rate

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