Results 21 to 30 of about 16,328 (286)
Another Solution to the Schrödinger-Langevin Equation
, 2021 Introduction: an alternative solution to the Schrodinger-Langevin equation is presented, where the temporal dependence is explained, assuming a Coulomb potential. Finally, the trajectory equations are found.
Mendoza-Suárez, Rosalba +2 more
core +2 more sources
Chemical master versus chemical langevin for first-order reaction networks [PDF]
, 2008 Markov jump processes are widely used to model interacting species in circumstances where discreteness and stochasticity are relevant. Such models have been particularly successful in computational cell biology, and in this case, the interactions are ...
Higham, Desmond J., Khanin, Raya
core +1 more source
Fractional Langevin Equation [PDF]
Physical Review E, 2001 We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of
openaire +4 more sources
Chemical master equation and Langevin regimes for a gene transcription model [PDF]
, 2007 Gene transcription models must take account of intrinsic stochasticity. The Chemical Master Equation framework is based on modelling assumptions that are highly appropriate for this context, and the Stochastic Simulation Algorithm (also known as ...
Higham, Desmond J. +4 more
core +1 more source
From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Mathematics, 2017 The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
doaj +1 more source
Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
Mathematics, 2020 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
Hossein Fazli +2 more
doaj +1 more source
Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise [PDF]
, 2002 The ergodic properties of SDEs, and various time discretizations for SDEs, are studied. The ergodicity of SDEs is established by using techniques from the theory of Markov chains on general state spaces, such as that expounded by Meyn-Tweedie ...
Stuart, A.M. +6 more
core +1 more source
Generalized Langevin equation with fluctuating diffusivity
Physical Review Research, 2022 A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is shown that the GLEFD satisfies a generalized fluctuation-dissipation relation.
Tomoshige Miyaguchi
doaj +1 more source
Quasirelativistic Langevin equation [PDF]
Physical Review E, 2013 We address the problem of a microscopic derivation of the Langevin equation for a weakly relativistic Brownian particle. A non-covariant Hamiltonian model is adopted, in which the free motion of particles is described relativistically, while their interaction is treated classically, i.e.
openaire +3 more sources
Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation
Entropy, 2018 The present work is concerned with the study of a generalized Langevin equation and its link to the physical theories of statistical mechanics and scale relativity.
Dimiter Prodanov
doaj +1 more source