Generalized Langevin equation with fluctuating diffusivity

نویسندگان

چکیده

A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it shown that the GLEFD satisfies a fluctuation-dissipation relation. If memory kernel power law, exhibits subdiffusion, non-Gaussianity, stretched-exponential relaxation. The case in which given by single exponential function also investigated as an analytically tractable example. In particular, mean-square displacement self-intermediate-scattering of this system show plateau structures. numerical scheme to integrate presented.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The generalized Langevin equation with Gaussian fluctuations

It is shown that all statistical properties of the generalized Langevin equation with Gaussian fluctuations are determined by a single, two-point correlation function. The resulting description corresponds with a stationary, Gaussian, non-Markovian process. Fokker-Planck-like equations are discussed, and it is explained how they can lead one to the erroneous conclusion that the process is nonst...

متن کامل

Equilibration problem for the generalized Langevin equation

We consider the problem of equilibration of a single oscillator system with dynamics given by the generalized classical Langevin equation. It is well-known that this dynamics can be obtained if one considers a model where the single oscillator is coupled to an infinite bath of harmonic oscillators which are initially in equilibrium. Using this equivalence we first determine the conditions neces...

متن کامل

Langevin equations for fluctuating surfaces.

Exact Langevin equations are derived for the height fluctuations of surfaces driven by the deposition of material from a molecular beam. We consider two types of model: deposition models, where growth proceeds by the deposition and instantaneous local relaxation of particles, with no subsequent movement, and models with concurrent random deposition and surface diffusion. Starting from a Chapman...

متن کامل

Exact transformation of a Langevin equation to a fluctuating response equation

We demonstrate that a Langevin equation that describes the motion of a Brownian particle under non-equilibrium conditions can be exactly transformed to a special equation that explicitly exhibits the response of the velocity to a time dependent perturbation. This transformation is constructed on the basis of an operator formulation originally used in nonlinear perturbation theory for differenti...

متن کامل

Langevin equation with Coulomb friction

We propose a Langevin model with Coulomb friction. Through the analysis of the corresponding Fokker-Planck equation, we have obtained the steady velocity distribution function under the influence of the external field.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical review research

سال: 2022

ISSN: ['2643-1564']

DOI: https://doi.org/10.1103/physrevresearch.4.043062