Langevin equation for the dipole vector of an accidental symmetric top molecule
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Molecular Liquids"
DOI: 10.1016/j.molliq.2019.111123
Abstract: Abstract The Langevin equation governing the time dependent dipole moment μ(t) of an accidental symmetric top (i.e., the direction of μ(t) does not coincide with the axis of symmetry) in an external electric field is… read more here.
Keywords: dipole vector; symmetric top; accidental symmetric; equation ... See more keywords
Langevin equation for the collective motions of a binary astrophysical system.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0104704
Abstract: According to Thirring's condition, the thermodynamic equilibrium is not possible between two systems with negative heat capacities. Since the existence of negative heat capacity is a rule rather an exception in astrophysics, we would like… read more here.
Keywords: system; langevin equation; collective degrees; degrees freedom ... See more keywords
Dynamics of the Schrödinger–Langevin equation
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/abd528
Abstract: We consider the nonlinear Schrödinger–Langevin equation for both signs of the logarithmic nonlinearity. We explicitly compute the dynamics of Gaussian solutions for large times, which is obtained through the study of a particular nonlinear differential… read more here.
Keywords: dynamics schr; langevin equation; dinger langevin; equation ... See more keywords
Thermodynamic entropy as a Noether invariant in a Langevin equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab5b8b
Abstract: We study the thermodynamic entropy as a Noether invariant in a stochastic process. Following the Onsager theory, we consider the Langevin equation for a thermodynamic variable in a thermally isolated system. By analyzing the Martin-Siggia-Rose-Janssen-de… read more here.
Keywords: thermodynamic entropy; langevin equation; entropy noether; noether invariant ... See more keywords
Probability density of the fractional Langevin equation with reflecting walls.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.042142
Abstract: We investigate anomalous diffusion processes governed by the fractional Langevin equation and confined to a finite or semi-infinite interval by reflecting potential barriers. As the random and damping forces in the fractional Langevin equation fulfill… read more here.
Keywords: fractional langevin; probability density; langevin equation; reflecting walls ... See more keywords
Additivity of multiple heat reservoirs in the Langevin equation.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.062135
Abstract: The Langevin equation greatly simplifies the mathematical expression of the effects of thermal noise by using only two terms, a dissipation term, and a random-noise term. The Langevin description was originally applied to a system… read more here.
Keywords: heat reservoirs; multiple heat; langevin equation; additivity ... See more keywords
Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
Sign Up to like & getrecommendations! Published in 2020 at "Mathematics"
DOI: 10.3390/math8050743
Abstract: We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler function in… read more here.
Keywords: equation involving; langevin equation; two fractional; fractional langevin ... See more keywords
Treatment of Mode Coupling in Step-Index Multimode Microstructured Polymer Optical Fibers by the Langevin Equation
Sign Up to like & getrecommendations! Published in 2022 at "Polymers"
DOI: 10.3390/polym14061243
Abstract: By solving the Langevin equation, mode coupling in a multimode step-index microstructured polymer optical fibers (SI mPOF) with a solid core was investigated. The numerical integration of the Langevin equation was based on the computer-simulated… read more here.
Keywords: equation; langevin equation; step index; multimode ... See more keywords