نتایج جستجو برای: langevin dynamics simulation

تعداد نتایج: 942603  

Journal: :Journal of Statistical Physics 2016

Journal: :SIAM Journal on Applied Mathematics 2020

Journal: :Nonlinearity 2021

We consider the nonlinear Schrödinger–Langevin equation for both signs of logarithmic nonlinearity. explicitly compute dynamics Gaussian solutions large times, which is obtained through study a particular differential order 2. then give asymptotic behavior general energy weak under some regularity assumptions. Some numerical simulations are performed in to corroborate theoretical results.

2014
Igor Goychuk

Influence of mesoscopic channel noise on excitable dynamics of living cells became a hot subject within the last decade, and the traditional biophysical models of neuronal dynamics such as Hodgkin-Huxley model have been generalized to incorporate such effects. There still exists but a controversy on how to do it in a proper and computationally efficient way. Here we introduce an improved Langev...

Journal: :Physical review letters 2008
Marcin Magdziarz Aleksander Weron Joseph Klafter

A century after the celebrated Langevin paper [C.R. Seances Acad. Sci. 146, 530 (1908)] we study a Langevin-type approach to subdiffusion in the presence of time-dependent force fields. Using a subordination technique, we construct rigorously a stochastic Langevin process, whose probability density function is equal to the solution of the fractional Fokker-Planck equation with a time-dependent ...

Journal: :SIAM J. Numerical Analysis 2015
Assyr Abdulle Gilles Vilmart Konstantinos C. Zygalakis

A new characterization of sufficient conditions for the Lie-Trotter splitting to capture the numerical invariant measure of nonlinear ergodic Langevin dynamics up to an arbitrary order is discussed. Our characterization relies on backward error analysis and needs weaker assumptions than assumed so far in the literature. In particular, neither high weak order of the splitting scheme nor symplect...

2013
Hidetoshi Konno Akio Suzuki

The paper presented a transient population dynamics of phase singularities in 2D Beeler-Reuter model. Two stochastic modelings are examined: (i) the Master equation approach with the transition rate (i.e., λ(n, t) = λ(t)n and μ(n, t) = μ(t)n) and (ii) the nonlinear Langevin equation approach with a multiplicative noise. The exact general solution of the Master equation with arbitrary time-depen...

2005
Scott S. Hampton Paul Brenner Aaron Wenger Santanu Chatterjee Jesús A. Izaguirre

We compare the effectiveness of different simulation sampling techniques by illustrating their application to united atom butane, alanine dipeptide, and a small solvated protein, BPTI. We introduce an optimization of the Shadow Hybrid Monte Carlo (SHMC) algorithm, a rigorous method that removes the bias of molecular dynamics (MD). We also evaluate the ability of constant-temperature MD methods ...

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