Effective-Eigenvalue Approach to the Nonlinear Langevin Equation for the Brownian motion in a Tilted Periodic Potential: Application to the Josephson Tunneling Junction

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dc.contributor.authorCoffey, William T.
dc.contributor.authorKalmykov, Yuri P.
dc.contributor.authorMassawe, Estomih S.
dc.date.accessioned2016-06-26T17:12:31Z
dc.date.available2016-06-26T17:12:31Z
dc.date.issued1993
dc.description.abstractThe concept of the effective eigenvalue appears to have been originally introduced into the study of relaxation problems in statistical physics by Leontovich.’ It was later developed and applied (sometimes implicitly) to a variety of stochastic problems in laser polar fluids,’ polymers,8 nematic liquid crystals? lo etc. In the present context, namely the theory of the Brownian motion, the method constitutes a truncation procedure which allows one using simple assumptions to obtain closed-form approximations to the solution of certain infinite hierarchies of differential-difference equations in the time variables. These magnetic domains, equations govern the time behavior of the statistical averages characterizing the relaxation of nonlinear stochastic systems. Thus, their solution is needed to calculate observable quantities such as the relaxation times and dynamic susceptibilities of the system.en_US
dc.identifier.citationCoffey, W.T., Kalmykov, Y.P. and Massawe, E.S., 1993. Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction. Physical Review E, 48(1), p.77.en_US
dc.identifier.doi10.1103/PhysRevE.48.77
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2709
dc.language.isoenen_US
dc.titleEffective-Eigenvalue Approach to the Nonlinear Langevin Equation for the Brownian motion in a Tilted Periodic Potential: Application to the Josephson Tunneling Junctionen_US
dc.typeJournal Article, Peer Revieweden_US
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