Brownian motors in the low-energy approximation: Classification and properties
- National Academy of Sciences of Ukraine, Institute of Surface Chemistry (Ukraine)
We classify Brownian motors based on the expansion of their velocity in terms of the reciprocal friction coefficient. The two main classes of motors (with dichotomic fluctuations in homogeneous force and periodic potential energy) are characterized by different analytical dependences of their mean velocity on the spatial and temporal asymmetry coefficients and by different adiabatic limits. The competition between the spatial and temporal asymmetries gives rise to stopping points. The transition through these points can be achieved by varying the asymmetry coefficients, temperature, and other motor parameters, which can be used, for example, for nanoparticle segregation. The proposed classification separates out a new type of motors based on synchronous fluctuations in symmetric potential and applied homogeneous force. As an example of this type of motors, we consider a near-surface motor whose two-dimensional motion (parallel and perpendicular to the substrate plane) results from fluctuations in external force inclined to the surface.
- OSTI ID:
- 21443554
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 110, Issue 4; Other Information: DOI: 10.1134/S1063776110040126; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
ASYMMETRY
ASYMMETRY COEFFICIENTS
CLASSIFICATION
FLUCTUATIONS
FRICTION FACTOR
NANOSTRUCTURES
PARTICLES
PERIODICITY
POTENTIALS
SEGREGATION
SUBSTRATES
SURFACES
SYMMETRY
VELOCITY
CALCULATION METHODS
DIMENSIONLESS NUMBERS
VARIATIONS