Results 21 to 30 of about 11,396 (164)

On the Fractal Langevin Equation

open access: yesFractal and Fractional, 2019
In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle- τ Cantor set.
Alireza Khalili Golmankhaneh
doaj   +1 more source

Generalized Langevin Equation and the Prabhakar Derivative

open access: yesMathematics, 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   +1 more source

Thermodynamic Langevin equations

open access: yesPhysical Review E
The physical significance of the stochastic processes associated to the generalized Gibbs ensembles is scrutinized here with special attention to the thermodynamic fluctuations of small systems. The contact with the environment produces an interaction entropy, which controls the distribution of fluctuations and allows writing the generalized Gibbs ...
Amilcare Porporato   +2 more
openaire   +3 more sources

New method for the investigation of mode coupling in graded-index polymer photonic crystal fibers using the Langevin stochastic differential equation

open access: yesFrontiers in Physics
The mode coupling in a graded-index polymer photonic crystal fiber (GI PPCF) with a solid core has been investigated using the Langevin equation. Based on the computer-simulated Langevin force, the Langevin equation is numerically integrated.
Svetislav Savović   +5 more
doaj   +1 more source

On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation

open access: yesAdvances in Mathematical Physics, 2020
In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including ...
Ahmed Salem, Noorah Mshary
doaj   +1 more source

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

open access: yesResults 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   +1 more source

Complex Langevin equations and Schwinger–Dyson equations

open access: yesNuclear Physics B, 2009
Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger-Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. Relevance to the study of quantum field theory phase space is discussed.
Guralnik, Gerald, Pehlevan, Cengiz
openaire   +2 more sources

Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions

open access: yesBoundary Value Problems, 2023
This research inscription gets to grips with two novel varieties of boundary value problems. One of them is a hybrid Langevin fractional differential equation, whilst the other is a coupled system of hybrid Langevin differential equation encapsuling a ...
A. Boutiara   +3 more
doaj   +1 more source

On the Link between the Langevin Equation and the Coagulation Kernels of Suspended Nanoparticles

open access: yesFractal and Fractional, 2022
The ability of the Langevin equation to predict coagulation kernels in the transition regime (ranging from ballistic to diffusive) is not commonly discussed in the literature, and previous numerical works are lacking a theoretical justification.
José Morán
doaj   +1 more source

An Analysis of Vehicular Traffic Flow Using Langevin Equation

open access: yesPromet (Zagreb), 2015
Traffic flow data are stochastic in nature, and an abundance of literature exists thereof. One way to express stochastic data is the Langevin equation. Langevin equation consists of two parts.
Çağlar Koşun   +2 more
doaj   +1 more source

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