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Langevin Modeling of Intracellular Calcium Dynamics
Recent progress in fluorescent imaging technology has revealed that Ca 2+ is released from the endoplasmic reticulum (ER) through clusters that are... -
Langevin Equation and Brownian Dynamics Simulations
In this chapter, we aim to elucidate the details behind writing computational codes and running a Brownian dynamics simulations (BDSs). Given that... -
Convergence of Nonequilibrium Langevin Dynamics for Planar Flows
We prove that incompressible two-dimensional nonequilibrium Langevin dynamics (NELD) converges exponentially fast to a steady-state limit cycle. We...
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Analysis of the Dynamics in Linear Chain Models by means of Generalized Langevin Equations
We analyse the motion of one particle in a polymer chain. For this purpose, we use the framework of the exact (non-stationary) generalized Langevin...
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Complex Langevin dynamics and supersymmetric quantum mechanics
Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex...
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Choice of dam** coefficient in Langevin dynamics
AbstractThis article considers the application of Langevin dynamics to sampling and investigates how to choose the dam** parameter in Langevin...
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Dissipative electronic nonadiabatic dynamics within the framework of the Schrödinger–Langevin equation
A two-state version of the Schrödinger–Langevin equation is developed to describe dissipative effects on electronic nonadiabatic dynamics. This...
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Towards learning optimized kernels for complex Langevin
We present a novel strategy aimed at restoring correct convergence in complex Langevin simulations. The central idea is to incorporate...
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Intriguing properties of transport at the microscales: Langevin equation approach
AbstractWe present a perspective of simple models of nonequilibrium directed transport described in terms of a Langevin equation formalism. We...
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On running coupling in the JIMWLK evolution and its Langevin formulation
Various conventional running coupling prescriptions reproducing β 0 -dependent terms of NLO JIMWLK are reviewed and found to be theoretically...
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Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel
The complex Langevin (CL) method is a promising approach to overcome the sign problem that occurs in real-time formulations of quantum field...
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Scaling limits for the generalized Langevin equation via diffusion approximation theory
This work presents a new method for obtaining the precise stationary state solutions of the Generalized Langevin Equation (GLE). The method combines...
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Stable solvers for real-time Complex Langevin
This study explores the potential of modern implicit solvers for stochastic partial differential equations in the simulation of real-time complex...
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Quantum Langevin dynamics of a charged particle in a magnetic field: Response function, position–velocity and velocity autocorrelation functions
We use the quantum Langevin equation as a starting point to study the response function, the position–velocity correlation function and the velocity...
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On the Convergence to the Non-equilibrium Steady State of a Langevin Dynamics with Widely Separated Time Scales and Different Temperatures
We study the solution of the two-temperature Fokker–Planck equation and rigorously analyse its convergence towards an explicit non-equilibrium...
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Dissipative friction dynamics within the density-functional based tight-binding scheme
The accurate description of an atom or molecule colliding with a metal surface remains challenging. Several strategies have been performed over the...
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On the Application of Non-Gaussian Noise in Stochastic Langevin Simulations
In light of recent advances in time-step independent stochastic integrators for Langevin equations, we revisit the considerations for using...
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Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials
We apply Gamma calculus to the hypoelliptic and non-symmetric setting of Langevin dynamics under general conditions on the potential. This extension...
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Langevin dynamics of heavy quarks in a soft-hard factorized approach
By utilizing a soft-hard factorized model, which combines a thermal perturbative description of soft scatterings and a perturbative QCD-based...