Results 11 to 20 of about 16,328 (286)
The chemical Langevin equation [PDF]
The Journal of Chemical Physics, 2000 The stochastic dynamical behavior of a well-stirred mixture of N molecular species that chemically interact through M reaction channels is accurately described by the chemical master equation. It is shown here that, whenever two explicit dynamical conditions are satisfied, the microphysical premise from which the chemical master equation is derived ...
Gillespie, Daniel T. +1 more
openaire +2 more sources
Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions [PDF]
International Journal of Differential Equations, 2010 We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. Langevin equation has been widely used to describe the evolution of physical phenomena in fluctuating environments.
Bashir Ahmad, Juan J. Nieto
doaj +2 more sources
On the Generalized Langevin Equation for Simulated Annealing
SIAM/ASA Journal on Uncertainty Quantification, 2023 37 pages, 4 ...
Martin Chak +2 more
openaire +5 more sources
Generalized Langevin Equation and the Prabhakar Derivative
Mathematics, 2017 We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
doaj +2 more sources
Dynamics of the Schrödinger–Langevin equation [PDF]
Nonlinearity, 2021 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 equation of order 2.
Chauleur, Quentin
openaire +6 more sources
On the non-stationary generalized Langevin equation [PDF]
The Journal of Chemical Physics, 2017 In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble (“bundle”) of trajectories. Under stationary conditions, the time-evolution of such averages is described by the generalized Langevin equation.
Hugues Meyer +2 more
openaire +5 more sources
The generalized Schrödinger–Langevin equation [PDF]
Annals of Physics, 2014 In this work, we derive a generalization of the so-called Schrödinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise. Two straightforward applications to the measurement process
Bargueño, Pedro, Miret-Artés, Salvador
openaire +2 more sources
LANGEVIN EQUATION ON FRACTAL CURVES [PDF]
Fractals, 2016 We analyze random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, plays an important role in this analysis.
Satin, Seema, Gangal, A. D.
openaire +3 more sources
Control of Quantum Langevin Equations [PDF]
Open Systems & Information Dynamics, 2003 The problem of controlling quantum stochastic evolutions arises naturally in several different fields such as quantum chemistry, quantum information theory, quantum engineering, etc. In this paper, we apply the recently discovered closed form of the unitarity conditions for stochastic evolutions driven by the square of white noise [9] to solve this ...
ACCARDI, LUIGI, Bouaks, A.
openaire +3 more sources
Equation of state from complex Langevin simulations [PDF]
EPJ Web of Conferences, 2022 We use complex Langevin simulations to study the QCD phase diagram with two light quark flavours. In this study, we use Wilson fermions with an intermediate pion mass of ∼ 480MeV. By studying thermodynamic quantities, in particular at lower temperatures,
Attanasio Felipe +2 more
doaj +1 more source