Results 1 to 10 of about 3,334 (156)

Generalized Langevin Equation and the Prabhakar Derivative [PDF]

Mathematics, 2017
We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
doaj   +4 more sources

Ab initio generalized Langevin equation [PDF]

Proceedings of the National Academy of Sciences of the United States of America
We introduce a machine learning–based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables (CVs) in materials and molecules. In this scheme, the parameters are learned from atomistic simulations based on ab initio quantum mechanical models. Force field, memory kernel, and noise generator are
Pinchen Xie, Roberto Car, Weinan E
exaly   +5 more sources

Generalized Langevin equation with fluctuating diffusivity

Physical Review Research, 2022
A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is shown that the GLEFD satisfies a generalized fluctuation-dissipation relation.
Tomoshige Miyaguchi
doaj   +3 more sources

Data-driven parameterization of the generalized Langevin equation. [PDF]

Proc Natl Acad Sci U S A, 2016
Significance The generalized Langevin equation (GLE) provides a precise description of coarse-grained variable dynamics in reduced dimension models. However, computation of the memory kernel poses a major challenge to the practical use of the GLE.
Lei H, Baker NA, Li X.
europepmc   +5 more sources

On the Generalized Langevin Equation for Simulated Annealing

SIAM-ASA Journal on Uncertainty Quantification, 2023
37 pages, 4 ...
Martin Chak, Nikolas KANTAŞ, Grigorios A Pavliotis   +2 more
exaly   +5 more sources

Generalized Langevin equation and the fluctuation-dissipation theorem for particle-bath systems in a harmonic field

Results in Physics, 2019
The generalized Langevin equation (GLE) is extended to the case when not only the tagged particle but also the surrounding bath particles respond to the external harmonic potential K(x).
Vladimír Lisý, Jana Tóthová
doaj   +3 more sources

The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

Mathematics, 2019
In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary ...
Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi, Hari M. Srivastava, Sotiris K. Ntouyas   +4 more
doaj   +3 more sources

On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas [PDF]

Entropy
The generalized fluctuation–dissipation relations that produce the regularized Kappa distributions are studied. The two-variable Fokker–Planck equation, as well as its reductions in the absence of potential and in the overdamped limit, are considered ...
Ran Guo
doaj   +2 more sources

Derivation of the generalized Langevin equation in nonstationary environments [PDF]

Journal of Chemical Physics, 2011
The generalized Langevin equation (GLE) is extended to the case of nonstationary bath. The derivation starts with the Hamiltonian equation of motion of the total system including the bath, without any assumption on the form of Hamiltonian or the distribution of the initial condition.
Shinnosuke Kawai, Tamiki Komatsuzaki, Kawai Shinnosuke   +2 more
exaly   +4 more sources

Memory Corrections to Markovian Langevin Dynamics [PDF]

Entropy
Analysis of non-Markovian systems and memory-induced phenomena poses an everlasting challenge in the realm of physics. As a paradigmatic example, we consider a classical Brownian particle of mass M subjected to an external force and exposed to correlated
Mateusz Wiśniewski, Jerzy Łuczka, Jakub Spiechowicz   +2 more
doaj   +2 more sources