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

Simple item page
dc.creatorCoffey, William T.
dc.creatorKalmykov, Yuri P.
dc.creatorMassawe, Estomih S.
dc.date2016-06-26T17:12:31Z
dc.date2016-06-26T17:12:31Z
dc.date1993
dc.date.accessioned2018-03-27T08:57:59Z
dc.date.available2018-03-27T08:57:59Z
dc.descriptionThe 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.
dc.identifierCoffey, 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.
dc.identifierhttp://hdl.handle.net/20.500.11810/2709
dc.identifier10.1103/PhysRevE.48.77
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2709
dc.languageen
dc.titleEffective-Eigenvalue Approach to the Nonlinear Langevin Equation for the Brownian motion in a Tilted Periodic Potential: Application to the Josephson Tunneling Junction
dc.typeJournal Article, Peer Reviewed

Files

Collections

Department of Mathematics