Directed transport of Brownian particles in a changing temperature field

A. Grillo; A. Jinha; S. Federico; R. Ait-Haddou; W. Herzog; G. Giaquinta

doi:10.1088/1751-8113/41/1/015002

Directed transport of Brownian particles in a changing temperature field

A. Grillo^*, A. Jinha, S. Federico, R. Ait-Haddou, W. Herzog, G. Giaquinta

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We study the interaction of Brownian particles with a changing temperature field in the presence of a one-dimensional periodic adiabatic potential. We show the existence of directed transport through the determination of the overall current of Brownian particles crossing the boundary of the system. With respect to the case of Brownian particles in a thermal bath, we determine a current which exhibits a contribution explicitly related to the presence of a thermal gradient. Beyond the self-consistent calculation of the temperature and probability density distribution of Brownian particles, we evaluate the energy consumption for directed transport to take place. Our description is based on Streater's model, and solutions are obtained by perturbing the system from its initial thermodynamic equilibrium state.

Original language	English (US)
Article number	015002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	1
DOIs	https://doi.org/10.1088/1751-8113/41/1/015002
State	Published - Jan 11 2008
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Physics and Astronomy
Statistics and Probability
Mathematical Physics
Modeling and Simulation

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10.1088/1751-8113/41/1/015002

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AU - Grillo, A.

AU - Jinha, A.

AU - Federico, S.

AU - Ait-Haddou, R.

AU - Herzog, W.

AU - Giaquinta, G.

PY - 2008/1/11

Y1 - 2008/1/11

N2 - We study the interaction of Brownian particles with a changing temperature field in the presence of a one-dimensional periodic adiabatic potential. We show the existence of directed transport through the determination of the overall current of Brownian particles crossing the boundary of the system. With respect to the case of Brownian particles in a thermal bath, we determine a current which exhibits a contribution explicitly related to the presence of a thermal gradient. Beyond the self-consistent calculation of the temperature and probability density distribution of Brownian particles, we evaluate the energy consumption for directed transport to take place. Our description is based on Streater's model, and solutions are obtained by perturbing the system from its initial thermodynamic equilibrium state.

AB - We study the interaction of Brownian particles with a changing temperature field in the presence of a one-dimensional periodic adiabatic potential. We show the existence of directed transport through the determination of the overall current of Brownian particles crossing the boundary of the system. With respect to the case of Brownian particles in a thermal bath, we determine a current which exhibits a contribution explicitly related to the presence of a thermal gradient. Beyond the self-consistent calculation of the temperature and probability density distribution of Brownian particles, we evaluate the energy consumption for directed transport to take place. Our description is based on Streater's model, and solutions are obtained by perturbing the system from its initial thermodynamic equilibrium state.

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DO - 10.1088/1751-8113/41/1/015002

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JO - Journal of Physics A: Mathematical and Theoretical

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Directed transport of Brownian particles in a changing temperature field

Abstract

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