Stochastic pump effect and geometric phases in dissipative and stochastic systems

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The success of Berry phases in quantum mechanics stimulated the study of similar phenomena in other areas of physics, including the theory of living cell locomotion and motion of patterns in nonlinear media. More recently, geometric phases have been applied to systems operating in a strongly stochastic environment, such as molecular motors. We discuss such geometric effects in purely classical dissipative stochastic systems and their role in the theory of the stochastic pump effect (SPE).

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Sinitsyn, Nikolai January 1, 2008.

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Description

The success of Berry phases in quantum mechanics stimulated the study of similar phenomena in other areas of physics, including the theory of living cell locomotion and motion of patterns in nonlinear media. More recently, geometric phases have been applied to systems operating in a strongly stochastic environment, such as molecular motors. We discuss such geometric effects in purely classical dissipative stochastic systems and their role in the theory of the stochastic pump effect (SPE).

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  • Journal Name: J. Phys. A: Math. Theor.; Journal Volume: 42; Journal Issue: 19

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  • Report No.: LA-UR-08-08098
  • Report No.: LA-UR-08-8098
  • Grant Number: AC52-06NA25396
  • Office of Scientific & Technical Information Report Number: 956694
  • Archival Resource Key: ark:/67531/metadc927328

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  • January 1, 2008

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 5:08 p.m.

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Sinitsyn, Nikolai. Stochastic pump effect and geometric phases in dissipative and stochastic systems, article, January 1, 2008; [New Mexico]. (digital.library.unt.edu/ark:/67531/metadc927328/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.