TY - JOUR
T1 - Unidirectional hopping transport of interacting particles on a finite chain
AU - Einax, Mario
AU - Solomon, Gemma C.
AU - Dieterich, Wolfgang
AU - Nitzan, Abraham
N1 - Funding Information:
M.E. gratefully acknowledges funding by a Forschungsstipendium by the Deutsche Forschungsgemeinschaft (DFG) (Grant No. EI 859/1-1). M.E. and W.D. have greatly benefited from numerous discussions with Philipp Maass. W.D. is also grateful to the Max-Planck-Institut fuer Physik Komplexer Systeme, Dresden, for its hospitality. A.N. acknowledges support by the European Science Council (FP7/ERC) (Grant No. 226628), the Israel-Niedersachsen Research Fund, and the Israel Science Foundation. He also thanks the Alexander von Humboldt Foundation for sponsoring his visit at the University of Konstanz. A.N. and G.S. thank Mark Ratner for many helpful discussions. This work was also supported by the Non-equilibrium Energy Research Center (NERC) which is an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-SC0000989. The authors also wish to thank the Lion Foundation for supporting this work.
PY - 2010/8/7
Y1 - 2010/8/7
N2 - Particle transport through an open, discrete one-dimensional channel against a mechanical or chemical bias is analyzed within a master equation approach. The channel, externally driven by time-dependent site energies, allows multiple occupation due to the coupling to reservoirs. Performance criteria and optimization of active transport in a two-site channel are discussed as a function of reservoir chemical potentials, the load potential, interparticle interaction strength, driving mode, and driving period. Our results, derived from exact rate equations, are used in addition to test a previously developed time-dependent density functional theory, suggesting a wider applicability of that method in investigations of many particle systems far from equilibrium.
AB - Particle transport through an open, discrete one-dimensional channel against a mechanical or chemical bias is analyzed within a master equation approach. The channel, externally driven by time-dependent site energies, allows multiple occupation due to the coupling to reservoirs. Performance criteria and optimization of active transport in a two-site channel are discussed as a function of reservoir chemical potentials, the load potential, interparticle interaction strength, driving mode, and driving period. Our results, derived from exact rate equations, are used in addition to test a previously developed time-dependent density functional theory, suggesting a wider applicability of that method in investigations of many particle systems far from equilibrium.
UR - http://www.scopus.com/inward/record.url?scp=77955807477&partnerID=8YFLogxK
U2 - 10.1063/1.3463000
DO - 10.1063/1.3463000
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AN - SCOPUS:77955807477
SN - 0021-9606
VL - 133
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
IS - 5
M1 - 054102
ER -