Variational Principle in Langevin Processes

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概要

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• The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has shown that large deviations of the current characterizing a nonequilibrium system are obtained by observing the typical current for a modified system specified by a variational principle. In the present study, we will give a generalized version of the Nemoto–Sasa study by extracting a hidden mathematical structure from the fluctuation-response relation which is well-known in statistical mechanics. Here, the minimization of the Kullback–Leibler divergence plays an essential role.

著者

• Ohzeki Masayuki

  Department Of Physics Tokyo Institute Of Technology

• OHZEKI Masayuki

  Department of Systems Science, Graduate School of Informatics, Kyoto University

• SUGHIYAMA Yuki

  FIRST, Aihara Innovative Mathematical Modelling Project, Japan Science and Technology Agency, Institute of Industrial Science, The University of Tokyo

関連論文

• Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices (General)
• Internal Energy of the Potts Model on the Triangular Lattice with Two- and Three-Body Interactions(General)
• Multicritical Points of Potts Spin Glasses on the Triangular Lattice(General)
• Nonequilibrium Work on Spin Glasses in Longitudinal and Transverse Fields
• Nonequilibrium Relations for Spin Glasses with Gauge Symmetry
• Variational Principle in Langevin Processes
• A Challenge for Critical Point of Spin Glass in Ground State
• Jarzynski Equality for an Energy-Controlled System

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