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Boundary Value ProblemsThe nonlinear fractional Langevin equation is an important equation used in various areas of physics and mathematics. In this article, we focus on the singular-hybrid case of the generalized Langevin equations and prove the existence of a solution using ...
Samane Ijadi +3 more
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Generalized Langevin equation with hydrodynamic backflow: Equilibrium properties [PDF]
Physica A: Statistical Mechanics and its Applications, 2015 We review equilibrium properties for the dynamics of a single particle evolving in a visco--elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included.
FODOR, Etienne +3 more
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Quantum Heat Current in Terahertz‐Driven Phonon Systems
Advanced Physics Research, EarlyView.We develop a quantum mechanical description of ultrafast thermodynamics on the example of a laser‐excited phonon mode. We show that the resulting quantum heat current exhibits non‐Markovian dynamics, which can be controlled by the pulse length. ABSTRACT The advent of high‐intensity ultrafast laser pulses has opened new opportunities for controlling and
Yulong Qiao, R. Matthias Geilhufe
wiley +1 more source
Generalized Langevin Equation: An Introductory Review for Biophysicists
, 2020 An introductory, pedagogical review of the generalized Langevin equation (GLE) within the classical regime is presented. It is intended to be accessible to biophysicists with an interest in molecular dynamics (MD).
Chung, Shin-Ho, Roper, Michael
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Fractal and Fractional, 2019 With anti-periodic and a new class of multi-point boundary conditions, we investigate, in this paper, the existence and uniqueness of solutions for the Langevin equation that has Caputo fractional derivatives of two different orders.
Ahmed Salem, Balqees Alghamdi
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Berichte zur Wissenschaftsgeschichte, EarlyView.Since late 2021, serious allegations have been made against physicist Erwin Schrödinger, ranging from pedophilia to serial sexual abuse. These accusations have significantly tarnished the Nobel Prize winner's public reputation. The ongoing debate has repeatedly raised the question of whether, and to what extent, these grave allegations are justified ...
Magdalena Gronau, Martin Gronau
wiley +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
, 2020 The generalized Langevin equation (GLE) is a stochastic integro-differential equation that has been used to describe the movement of microparticles with sub-diffusion phenomenon.
Lei Li, Di Fang
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The Quantum Langevin Equation [PDF]
, 1988 The macroscopic description of a quantum particle with passive dissipation and moving in an arbitrary external potential is formulated in terms of the generalized Langevin equation.
Lewis, J. T. +3 more
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Assessing the suitability of the Langevin equation for analyzing measured data through downsampling
Journal of Physics: ComplexityThe measured time series from complex systems are renowned for their complex stochastic behavior, characterized by random fluctuations stemming from external influences and nonlinear interactions.
Pyei Phyo Lin +3 more
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