Results 191 to 200 of about 4,324 (212)

The generalized Langevin equation and the fluctuation- dissipation theorems

Journal of Physics A: General Physics, 1971
Two forms of Langevin equation are used to describe the equilibrium and nonequilibrium behaviour of a particle undergoing a Brownian motion. By comparing the results of these two forms it is shown that the fluctuation- dissipation theorems depend on two main assumptions.
openaire   +2 more sources

Ito-Langevin equations within generalized thermostatistics

Physics Letters A, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Langevin Equation for Generalized Coordinates

2006
Using the projection operator formalism we derive the generalized Langevin equation for a subset of generalized coordinates obtained from a full set of Cartesian coordinates by a canonical transformation. The resulting equations of motion treat positions and momenta on equal footing, with dissipative terms that involve time correlations amongst both ...
openaire   +1 more source

Generalized Langevin equation with chaotic force

Physica A: Statistical Mechanics and its Applications, 1994
The generalized Langevin equation with chaotic force is investigated: x(t) = − ∫0tdt′φ(t,t′)x(t′) + ƒ(t), where φ(t,t′) = 《ƒ(t)ƒ(t′) 》《x2 》. The chaotic force ƒ(t) is defined by ƒ(t)=(yn+1 − 《y》τ for nτ < t ≤ (n + 1)τ (n= 0,1,2,…), where yn+1 is a chaotic sequence: yn+1 = F(yn).
openaire   +1 more source

On the forces constituting the generalized langevin equation

Physics Letters A, 1988
Abstract The generalized Langevin equation by Mori is generally completed by a systematic non-dissipative “one-particle” force. For friction to be independent of external fields, it must be a mean force derived from free energy instead of potential energy. Different theories of chemical reaction rates are reconciled in this way.
openaire   +1 more source

Anomalous diffusion in a generalized Langevin equation

Journal of Mathematical Physics, 2009
We analyze the motion of a particle governed by a generalized Langevin equation with the colored noise described by a combination of power-law and generalized Mittag–Leffler function. This colored noise generalizes the power-law correlation function and an exponential one. We obtain exact results for the relaxation function.
openaire   +2 more sources

A note on Euler method for the overdamped generalized Langevin equation with fractional noise

Applied Mathematics Letters, 2021
Xinjie Dai, Aiguo Xiao
exaly  

Level-crossing counting for generalized Langevin equations

Physical Review E
We address the counting of level crossings for the generalized Brownian motion in which the motion of a Brownian particle (unbound as well as linearly bound) is governed by an integrodifferential stochastic equation with a memory dissipation kernel: the generalized Langevin equation.
openaire   +2 more sources

Generalized nonlinear Langevin equation for a rotor

Physical Review B, 1986
, Kemeny, , Mahanti, , Gales
openaire   +2 more sources

Accurate and robust splitting methods for the generalized Langevin equation with a positive Prony series memory kernel

Journal of Computational Physics, 2022
Manh Hong Duong, Xiaocheng Shang
exaly