Results 11 to 20 of about 4,324 (212)

Scaling Limits for the Generalized Langevin Equation [PDF]

Journal of Nonlinear Science, 2021
In this paper, we study the diffusive limit of solutions to the generalized Langevin equation (GLE) in a periodic potential. Under the assumption of quasi-Markovianity, we obtain sharp longtime equilibration estimates for the GLE using techniques from the theory of hypocoercivity. We then prove asymptotic results for the effective diffusion coefficient
Grigorios A. Pavliotis, Gabriel Stoltz, Urbain Vaes   +2 more
openaire   +6 more sources

The generalized Schrödinger–Langevin equation [PDF]

Annals of Physics, 2014
In this work, we derive a generalization of the so-called Schrödinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise. Two straightforward applications to the measurement process
Bargueño, Pedro, Miret-Artés, Salvador
openaire   +3 more sources

On the non-stationary generalized Langevin equation [PDF]

The Journal of Chemical Physics, 2017
In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble (“bundle”) of trajectories. Under stationary conditions, the time-evolution of such averages is described by the generalized Langevin equation.
Hugues Meyer, Thomas Voigtmann, Tanja Schilling   +2 more
openaire   +5 more sources

Efficient Numerical Algorithms for the Generalized Langevin Equation [PDF]

SIAM Journal on Scientific Computing, 2022
We study the design and implementation of numerical methods to solve the generalized Langevin equation (GLE) focusing on canonical sampling properties of numerical integrators. For this purpose, we cast the GLE in an extended phase space formulation and derive a family of splitting methods which generalize existing Langevin dynamics integration methods.
Benedict J. Leimkuhler, Matthias Sachs
core   +6 more sources

From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description

Mathematics, 2017
The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
doaj   +2 more sources

Asymptotic analysis for the generalized Langevin equation [PDF]

Nonlinearity, 2011
Various qualitative properties of solutions to the generalized Langevin equation (GLE) in a periodic or a confining potential are studied in this paper. We consider a class of quasi-Markovian GLEs, similar to the model that was introduced in \cite{EPR99}.
Ottobre, M., Pavliotis, G. A.
openaire   +3 more sources

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla   +2 more
doaj   +2 more sources

Generalized Langevin equation for nonequilibrium systems

Physica A: Statistical Mechanics and its Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
McPhie, M G, Daivis, P, Snook, Ian K, Ennis-King, Jonathan Patrick, Evans, Denis   +4 more
core   +5 more sources

An attempt toward the generalized Langevin dynamics simulation

Condensed Matter Physics, 2008
An attempt to generalize the Langevin dynamics simulation method is presented based on the generalized Langevin theory of liquids, in which the dynamics of both solute and solvent is treated by the generalized Langevin equations, but the integration of ...
B.Kim, S.-H.Chong, R.Ishizuka, F.Hirata
doaj   +2 more sources

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai, Brahim Tellab, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +4 more
doaj   +2 more sources