Optimal number of disperse states in the model of Brownian motors

Yunlong, Zhou; Bao, Jiaao

doi:10.1016/s0378-4371(04)00865-9

Cited by 3 publications

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“…4 together with numerical Pe curves for different a. In contrast to earlier work, 24,25 good Pe numbers are found, i.e., Pe > 2 for which drift wins over diffusion. Similar numbers have been calculated for tilted periodic potentials.…”

Section: -2contrasting

confidence: 73%

“…28 We develop a master equation model with which the average movement and effective diffusion constant can easily be calculated numerically for on/off ratchets of arbitrary shape. In contrast with previous works, 24,25 each ratchet unit is represented by only one discrete site, resulting in a very simple model in which the transition rates are no longer explicitly dependent on the magnitude of the forces in the ratchet unit. We compare the results with measurements of the effective diffusion of suspended polystyrene particles.…”

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confidence: 97%

“…22,23 Calculations on the diffusion in discrete multi-site on/off ratchets have been performed before in relation to the P eclet number, a figure of merit for the relative importance of drift over diffusion currents. 24,25 These works showed very low P eclet numbers. An increased diffusion has also been calculated 26 and measured 27 for particles between oscillating potential barriers of a non-ratchet device.…”

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confidence: 99%

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Diffusion enhancement in on/off ratchets

Germs

Roeling

IJzendoorn

et al. 2013

Applied Physics Letters

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We show a diffusion enhancement of suspended polystyrene particles in an electrical on/off ratchet. The enhancement can be described by a simple master equation model. Furthermore, we find that the diffusion enhancement can be described by a general curve whose shape is only determined by the asymmetry of the ratchet repeat unit. The scaling of this curve can be explained from an analytical expression valid for small off-times. Finally, we demonstrate how the master equation model can be used to find the driving parameters for optimal particle separation.

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Section: -2contrasting

confidence: 73%

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confidence: 97%

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confidence: 99%

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Diffusion enhancement in on/off ratchets

Germs

Roeling

IJzendoorn

et al. 2013

Applied Physics Letters

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“…7,8 The diffusion coefficient can be increased considerably by tuning the strength of a constant external force, [3][4][5] the frequency of an unbiased ac force, 6 or the rate of potential switching. 7,8 In the case of a particle in a one-dimensional periodic potential in the presence of a constant external force F (a particle in a tilted periodic potential), the diffusion coefficient as a * E-mail: sasaki@camp.apph.tohoku.ac.jp function of F exhibits a peak at a value close to the maximum slope F c of the potential; [3][4][5] note that in the absence of thermal noise, the particle remains stationary at a force-balanced location for F < F c while it continues to run in one direction ("running state") for F > F c . The reason for this diffusion enhancement is that the behavior of the particle, whether to remain in a potential well or to move to the adjacent well, is quite sensitive to thermal noise for F close to F c , which results in a large dispersion of the particle displacement and hence a large diffusion coefficient.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Diffusion of Molecular Motors in the Presence of Adenosine Triphosphate and External Force

Shinagawa

Sasaki

2016

J. Phys. Soc. Jpn.

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The diffusion of a molecular motor in the presence of a constant external force is considered on the basis of a simple theoretical model. The motor is represented by a Brownian particle moving in a series of parabolic potentials placed periodically on a line, and the potential is switched stochastically from one parabola to another by a chemical reaction, which corresponds to the hydrolysis or synthesis of adenosine triphosphate (ATP) in motor proteins. It is found that the diffusion coefficient as a function of the force exhibits peaks. The mechanism of this diffusion enhancement and the possibility of observing it in F 1 -ATPase, a biological rotary motor, are discussed.

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The single-direction energy transition model of molecular motor based on the control of adenosine triphosphate

Li¹,

Han²,

Ye³

et al. 2013

Acta Phys. Sin.

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The dynamic principle of molecular motor transport in overdamped solution remains unclear. Starting from the transport characteristics and phenomenon of the molecular motor system, the single-direction energy transition model is established, which conforms to the Langevin equation, and the stochastic dynamics of molecular motors is analyzed by Monte Carlo simulations. Results show that with the right transition energy, molecular motors could take a stable stepping motion and effective transport by means of the environment noise, and the load force can weaken material transportation of the molecular motor system. The potential field between a molecular motor and its orbit can affect the magnitude of the velocity of motor, but cannot change the direction of the velocity, the direction of motion of the molecular motor therefore is adjusted by the transition energy of the motor. In addition, although the average velocity is not zero for different noise intensities, the efficient transport of a molecular motor system indicates that the system is selective for the noise intensity.

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Optimal number of disperse states in the model of Brownian motors

Cited by 3 publications

References 0 publications

Diffusion enhancement in on/off ratchets

Diffusion enhancement in on/off ratchets

Enhanced Diffusion of Molecular Motors in the Presence of Adenosine Triphosphate and External Force

The single-direction energy transition model of molecular motor based on the control of adenosine triphosphate

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