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Langevin equations

Single upper solution or lower solution method for Langevin equations with two fractional orders

Single upper solution or lower solution method for Langevin equations with two fractional orders

... We can find that there are few papers devoted to the study of nonnegative solutions for Langevin equations involving two fractional orders. In this paper we use a single upper- solution or lower-solution ...

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Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

Some Uniqueness Results for Langevin Equations Involving Two Fractional Orders

... order Langevin equations can not correctly describe ...generalized Langevin equation for modeling anomalous diffusive processes in complex and viscoelastic environment in 1966 ...

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Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions

Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions

... differential equations has important application in many ...differential equations [4–24]. Recently fractional Langevin equations have been studied by some scholars (see, for ex- ample, ...

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Systems of fractional Langevin equations of Riemann Liouville and Hadamard types

Systems of fractional Langevin equations of Riemann Liouville and Hadamard types

... The Langevin equation (first formulated by Langevin in ) is found to be an effective tool to describe the evolution of physical phenomena in fluctuating environments ...fractional Langevin equation ...

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Automatic seismic wave arrival detection and picking with stationary analysis: Application of the KM2O Langevin equations

Automatic seismic wave arrival detection and picking with stationary analysis: Application of the KM2O Langevin equations

... Langevin equations, we can obtain the characteristic param- eters of the time series, i.e. γ, V by (DDT), (FDT), (PAC) with no priori assumptions when the stationarity of the data is assured. The ...

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Langevin equations for landmark image registration with uncertainty

Langevin equations for landmark image registration with uncertainty

... Our Langevin equations are described in section 2 and some basic theory ...these Langevin equations are hypoelliptic, and the Hamiltonian is not separable, making the equations ...

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Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions

Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions

... differential equations have attracted the attention of many researchers work- ing in a variety of disciplines, due to the development and applications of these equations in many fields such as engineering, ...

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Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations

Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations

... We first impose stochastic forcing of the same intensity on the freshwater forcings to the two high-latitude boxes and observe that the resulting pdf of the thermohaline circulation strength is bimodal and symmetric. ...

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On constrained Langevin equations and (bio)chemical reaction networks

On constrained Langevin equations and (bio)chemical reaction networks

... constrained Langevin ap- ...chemical Langevin equation in the interior of the positive orthant and introduces an appropriate minimal perturbation at the ...constrained Langevin approximation was ...

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Beyond Complex Langevin Equations: positive representation of a class of complex measures

Beyond Complex Langevin Equations: positive representation of a class of complex measures

... Given a real action S (x), one constructs / generates the stochastic process x(τ), according to the corre- sponding Langevin equation. After the "Langevin time" τ it’s end points are distributed ...

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On implicit impulsive Langevin equation involving mixed order derivatives

On implicit impulsive Langevin equation involving mixed order derivatives

... Paul Langevin in 1908. Langevin equations have been broadly used to describe stochastic problems in image processing, physics, astronomy, chemistry, defence system, electrical and mechanical ...the ...

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Local stable manifold of Langevin differential equations with two fractional derivatives

Local stable manifold of Langevin differential equations with two fractional derivatives

... differential equations theory arise nat- urally in applications; see [–] and the references given ...Fractional Langevin equations (i.e., equations involving two fractional derivatives with ...

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Efficient simulation of semiflexible polymers.

Efficient simulation of semiflexible polymers.

... corresponding Langevin equations of motion in time, with a simple integration scheme such as the Euler ...dynamical equations forward in ...the Langevin equations forward in time, as ...

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IONS IN FLUCTUATING CHANNELS: TRANSISTORS ALIVE

IONS IN FLUCTUATING CHANNELS: TRANSISTORS ALIVE

... general. Langevin equations of Brown- ian motion always require Poisson’s equation in this view if particles have signifi- cant charge anywhere on their ...the equations of transport and electric field ...

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An Efficient Method to Study Nondiffusive Motion of Brownian Particles

An Efficient Method to Study Nondiffusive Motion of Brownian Particles

... standard Langevin theory of the Brownian motion (BM) in ...generalized Langevin equations describing the BM of particles with any kind of memory and apply it to interpret the experiments where ...

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Brownian Motion of Decaying Particles: Transition Probability, Computer Simulation, and First Passage Times

Brownian Motion of Decaying Particles: Transition Probability, Computer Simulation, and First Passage Times

... of equations comparable to the Fokker-Planck and Langevin equations for one-dimensional diffusion and decay of unstable ...two equations are not equivalent, but provide different information ...

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On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation

On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation

... The Langevin equation (first formulated by Langevin in  to give an elaborate de- scription of Brownian motion) is found to be an effective tool to describe the evolution of physical phenomena in ...

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Berger_unc_0153D_19466.pdf

Berger_unc_0153D_19466.pdf

... The Langevin method has been established as effective in the case of real-valued variables, but we seek an alternative to QMC that will allow us to examine systems with both real and imaginary components, in order ...

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Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses

Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses

... Paul Langevin in 1908. Langevin equations have been widely used to describe stochastic problems in physics, chemistry and electrical ...the Langevin equation when the random fluctuation force ...

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An ergodicity result for adaptive Langevin algorithms

An ergodicity result for adaptive Langevin algorithms

... adaptive Langevin algo- rithm satisfying certain (intuitively plausible) conditions on the acceptance rate possesses the simultaneous geometric ergodicity condition ...

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