Results 1 to 10 of about 11,691 (164)

On the quantum langevin equation [PDF]

Journal of Statistical Physics, 1987
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G W Ford, M Kac
exaly   +4 more sources

Derivation of the Langevin Equation from the Microcanonical Ensemble [PDF]

Entropy
When writing down a Langevin equation for the time evolution of a “system” in contact with a thermal bath, one typically makes the implicit (and often tacit) assumption that the thermal environment is in equilibrium at all times.
Ralf Eichhorn
doaj   +2 more sources

Ab initio generalized Langevin equation. [PDF]

Proc Natl Acad Sci U S A
We introduce a machine learning–based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables (CVs) in materials and molecules. In this scheme, the parameters are learned from atomistic simulations based on ab initio quantum mechanical models. Force field, memory kernel, and noise generator are
Xie P, Car R, E W.
europepmc   +4 more sources

Treatment of Mode Coupling in Step-Index Multimode Microstructured Polymer Optical Fibers by the Langevin Equation [PDF]

Polymers, 2022
Svetislav Savovic, Isidora Savovic, Alexandar Djordjevich   +2 more
exaly   +2 more sources

On a fractional differential equation with fractional boundary conditions [PDF]

Mathematics and Computational Sciences, 2023
In this article, we study a new nonlinear Langevin equation of two fractional orders with fractional boundary value conditions which is a generalization of previous Langevin equations.
Yasser Khalili, Milad Yadollahzadeh
doaj   +1 more source

Kernel controlled real-time Complex Langevin simulation [PDF]

EPJ Web of Conferences, 2022
This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour. We give several examples where we use a systematic scheme to find kernels that restore correct convergence of ...
Alvestad Daniel, Larsen Rasmus, Rothkopf Alexander   +2 more
doaj   +1 more source

Stability of a Nonlinear ML-Nonsingular Kernel Fractional Langevin System with Distributed Lags and Integral Control

Axioms, 2022
The fractional Langevin equation has more advantages than its classical equation in representing the random motion of Brownian particles in complex viscoelastic fluid.
Kaihong Zhao
doaj   +1 more source

Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel

Fractal and Fractional, 2022
The fractional Langevin equation is a very effective mathematical model for depicting the random motion of particles in complex viscous elastic liquids. This manuscript is mainly concerned with a class of nonlinear fractional Langevin equations involving
Kaihong Zhao
doaj   +1 more source

Particle size and its distribution deduced from magnetic properties of magnetite nanoparticles by the modified Langevin equation

AIP Advances, 2023
The magnetic hysteresis curve can provide information about magnetic properties, particle size, and its distribution. For superparamagnetic materials, the characteristics of the hysteresis curve are very typical, that is, Hc is equal to zero with a ...
Togar Saragi, Utami Widyaiswari, Darling Josua Manalu, Budi Adiperdana, Risdiana Risdiana, Tadashi Adachi   +5 more
doaj   +1 more source

q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions

Mathematics, 2023
The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions.
Wuyang Wang, Khansa Hina Khalid, Akbar Zada, Sana Ben Moussa, Jun Ye   +4 more
doaj   +1 more source