Results 121 to 130 of about 4,324 (212)

Data-driven molecular modeling with the generalized Langevin equation. [PDF]

J Comput Phys, 2020
Grogan F, Lei H, Li X, Baker NA.
europepmc   +1 more source

Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise

, 2018
The Generalized Langevin Equation, in history, arises as a natural fix for the rather traditional Langevin equation when the random force is no longer memoryless.
Li, Lei, Fang, Di
core  

Conditions for the validity of the quantum Langevin equation

, 2012
From microscopic models, a Langevin equation can, in general, be derived only as an approximation. Two possible conditions to validate this approximation are studied.
Frenkel, Josif, Taylor, J. C.
core   +1 more source

P-Type Contractive Mappings in b-Metric Spaces and an Application to a (p,q)-Difference Langevin Problem

Mathematics
This work investigates fixed point results for mappings satisfying generalized P-type contractive conditions in the framework of b-metric spaces. Several existence and uniqueness theorems are established by employing appropriate iterative techniques ...
Oğuz Solak, Duran Türkoğlu, Ishak Altun   +2 more
doaj   +1 more source

Learning Memory Kernels in Generalized Langevin Equations

SIAM Journal on Mathematics of Data Science
We introduce a novel approach for learning memory kernels in Generalized Langevin Equations. This approach initially utilizes a regularized Prony method to estimate correlation functions from trajectory data, followed by regression over a Sobolev norm-based loss function with RKHS regularization.
Quanjun Lang, Jianfeng Lu 0001
openaire   +2 more sources

Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise

, 2014
We study generalized fractional Langevin equations in the presence of a harmonic potential. General expressions for the mean velocity and particle displacement, the mean squared displacement, position and velocity correlation functions, as well as ...
Trifce Sandev, Živorad Tomovski, Sandev, Trifce (Prof. Dr.), Tomovski, Zivorad, Metzler, Ralf (Prof. Dr.), Ralf Metzler   +5 more
core   +1 more source

The projection-operator approach to generalized Langevin equations

In this work, a variety of exact coarse-grained descriptions in and out of equilibrium are analyzed. This is done by deriving equations of motion for observables, the so-called generalized Langevin equations, from the underlying microscopic dynamics via ...
Koch, Fabian
core   +1 more source

Fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin equation [PDF]

Article discussing a fast-computational approach to the evaluation of slow-motion EPR spectra in terms of a generalized Langevin ...
Marin, P., Giordano, Marco, Leporini, Dino, Grigolini, Paolo   +3 more
core   +1 more source

Efficient Bayesian estimation of the generalized Langevin equation from data

, 2022
Modeling non-Markovian time series is a recent topic of research in many fields such as climate modeling, biophysics, molecular dynamics, or finance. The generalized Langevin equation (GLE), given naturally by the Mori-Zwanzig projection formalism, is a ...
Kamps, Oliver, Willers, Clemens
core  

Effective diffusion of a tracer in active bath: A path-integral approach

National Science Open
We investigate the effective diffusion of a tracer immersed in an active particle bath consisting of self-propelled particles. Utilising the Dean's method developed for the equilibrium bath and extending it to the nonequilibrium situation, we derive a ...
Feng Mengkai, Hou Zhonghuai
doaj   +1 more source