The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …
forged into a mature framework in the theory of stochastic processes. A large number of …
Escape kinetics of self-propelled particles from a circular cavity
We numerically investigate the mean exit time of an inertial active Brownian particle from a
circular cavity with single or multiple exit windows. Our simulation results witness distinct …
circular cavity with single or multiple exit windows. Our simulation results witness distinct …
Solution of quantum Langevin equation: Approximations, theoretical and numerical aspects
Based on a coherent state representation of noise operator and an ensemble averaging
procedure using Wigner canonical thermal distribution for harmonic oscillators, a …
procedure using Wigner canonical thermal distribution for harmonic oscillators, a …
Quantum state-dependent diffusion and multiplicative noise: a microscopic approach
The state-dependent diffusion, which concerns the Brownian motion of a particle in
inhomogeneous media has been described phenomenologically in a number of ways …
inhomogeneous media has been described phenomenologically in a number of ways …
Nonlinear Schrödinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices
We introduce a nonlinear Schrödinger equation to describe the dynamics of a superfluid
Bose gas in the crossover from the weak-coupling regime, where an 1/3≪ 1 with a the …
Bose gas in the crossover from the weak-coupling regime, where an 1/3≪ 1 with a the …
Fermionic oscillator in a fermionic bath
The quantum dissipation of a fermionic oscillator in an environment of fermionic oscillators is
considered. Since fermions anticommute, their eigenvalues are anticommuting numbers …
considered. Since fermions anticommute, their eigenvalues are anticommuting numbers …
Moving boundary truncated grid method: Application to activated barrier crossing with the Klein–Kramers and Boltzmann–BGK models
MY Li, CY Lu, CC Chou - Physica A: Statistical Mechanics and its …, 2025 - Elsevier
We exploit the moving boundary truncated grid method for the Klein–Kramers and
Boltzmann–BGK kinetic equations to approach the problem of thermally activated barrier …
Boltzmann–BGK kinetic equations to approach the problem of thermally activated barrier …
Escape through an unstable limit cycle: resonant activation
We consider a Brownian particle acted on by a linear conservative force, a nonlinear
frictional force, and multiplicative colored and additive white noises; the frictional force can …
frictional force, and multiplicative colored and additive white noises; the frictional force can …
Numerical simulation of transmission coefficient using c-number Langevin equation
We numerically implement the reactive flux formalism on the basis of a recently proposed c-
number Langevin equation [Barik et al., J. Chem. Phys. 119, 680 (2003); Banerjee et al …
number Langevin equation [Barik et al., J. Chem. Phys. 119, 680 (2003); Banerjee et al …
Quantum phase-space function formulation of reactive flux theory
On the basis of a coherent-state representation of the quantum noise operator and an
ensemble averaging procedure a scheme for quantum Brownian motion has been proposed …
ensemble averaging procedure a scheme for quantum Brownian motion has been proposed …