A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions
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DOI: 10.1002/mma.6711
Abstract: In this paper, we study the coupled system of nonlinear Langevin equations involving Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions. The existence, uniqueness, and stability in the sense of Ulam are established for… read more here.
Keywords: system; system nonlinear; coupled system; langevin equations ... See more keywords
Nonnegative Solutions of Initial Value Problems for Langevin Equations Involving Two Fractional Orders
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DOI: 10.1007/s00009-018-1213-x
Abstract: In this paper, we study the existence and uniqueness of nonnegative solutions of an initial value problem for Langevin equations involving two fractional orders: $$\begin{aligned} \left\{ \begin{array}{lll}^c_0\!D^\beta _t({}^c_0\!D^\alpha _t-\gamma )x(t)=f(t,x(t)),&{}\quad \ 0< t read more here.
Keywords: solutions initial; initial value; nonnegative solutions; langevin equations ... See more keywords
Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
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DOI: 10.1007/s10955-018-2192-9
Abstract: We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate,… read more here.
Keywords: generalized langevin; homogenization class; class generalized; langevin equations ... See more keywords
Langevin approach for intrinsic fluctuations of chemical reactions with Hopf bifurcation
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DOI: 10.1016/j.physd.2020.132612
Abstract: Abstract The characteristics of Langevin equations for the intrinsic fluctuations of chemical reactions are investigated via the analyses on the Brusselator model in the parameter domain of spirally stable focus. Two forms of Langevin equations… read more here.
Keywords: intrinsic fluctuations; fluctuations chemical; hopf bifurcation; langevin equations ... See more keywords
Exact potentials in multivariate Langevin equations.
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DOI: 10.1063/5.0124031
Abstract: Systems governed by a multivariate Langevin equation featuring an exact potential exhibit straightforward dynamics but are often difficult to recognize because, after a general coordinate change, the gradient flow becomes obscured by the Jacobian matrix… read more here.
Keywords: exact potentials; langevin equations; potentials multivariate; multivariate langevin ... See more keywords
Nonlinear quantum Langevin equations for bosonic modes in solid-state systems
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DOI: 10.1103/physreva.96.063830
Abstract: Based on the experimental evidence that impurities contribute to the dissipation properties of solid-state open quantum systems, we provide here a description in terms of nonlinear quantum Langevin equations of the role played by two-level… read more here.
Keywords: solid state; quantum langevin; bosonic modes; langevin equations ... See more keywords
Time-reversal symmetries and equilibriumlike Langevin equations.
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DOI: 10.1103/physreve.107.044106
Abstract: Graham has shown [Z. Phys. B 26, 397 (1977)0340-224X10.1007/BF01570750] that a fluctuation-dissipation relation can be imposed on a class of nonequilibrium Markovian Langevin equations that admit a stationary solution of the corresponding Fokker-Planck equation. The resulting… read more here.
Keywords: symmetries equilibriumlike; time; langevin equations; reversal symmetries ... See more keywords
Entropy production for complex Langevin equations.
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DOI: 10.1103/physreve.96.012150
Abstract: We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermochemical baths. Dissipation is introduced via non-Hermitian terms in the Hamiltonian of the model. We apply… read more here.
Keywords: production; production complex; complex langevin; entropy production ... See more keywords
Bayesian inference with information content model check for Langevin equations.
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DOI: 10.1103/physreve.96.062106
Abstract: The Bayesian data analysis framework has been proven to be a systematic and effective method of parameter inference and model selection for stochastic processes. In this work, we introduce an information content model check that… read more here.
Keywords: model check; model; langevin equations; content model ... See more keywords
Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
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DOI: 10.3390/math7050402
Abstract: In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems,… read more here.
Keywords: fractional langevin; integral boundary; equations nonlocal; boundary conditions ... See more keywords