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Numerical simulation of Ginzburg-Landau-Langevin equations
(Sociedade Brasileira de Física, 2007-03-01)
This work is concerned with non-equilibrium phenomena, with focus on the numerical simulation of the relaxation of non-conserved order parameters described by stochastic kinetic equations known as Ginzburg-Landau-Langevin ...
Quantitative Propagation of Chaos for Generalized Kacparticle Systems
(Inst Mathematical Statistics, 2016)
We study a class of one-dimensional particle systems with true (Bird type) binary interactions, which includes Kac's model of the Boltzmann equation and nonlinear equations for the evolution of wealth distribution arising ...
Wellposedness For Stochastic Continuity Equations With Ladyzhenskaya–prodi–serrin Condition
(Birkhauser Verlag AG, 2015)
Dynamical capacity drop in a nonlinear stochastic traffic model
(Elsevier B.V., 2017-11-01)
In this work, we show that the inverse-lambda shape in the fundamental diagram of traffic flow can be produced dynamically by a simple nonlinear mesoscopic model with stochastic noises. The proposed model is based on the ...
Supersymmetric quantum mechanics method for the Fokker-Planck equation with applications to protein folding dynamics
(Elsevier B.V., 2018-03-01)
This work developed analytical methods to explore the kinetics of the time-dependent probability distributions over thermodynamic free energy profiles of protein folding and compared the results with simulation. The ...
Stochastic simulation of multiscale complex systems with PISKaS: A rule-based approach
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2018)
Computational simulation is a widely employed methodology to study the dynamic behavior of complex systems. Although common approaches are based either on ordinary differential equations or stochastic differential equations, ...
A model for diffusive systems: Beyond the Arrhenius mechanism
(Elsevier Science, 2016-05)
Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the ...
Primordial magnetic field amplification from turbulent reheating
(IOP Publishing, 2010-08)
We analyze the possibility of primordial magnetic field amplification by a stochastic large scale kinematic dynamo during reheating. We consider a charged scalar field minimally coupled to gravity. During inflation this ...
Drift-diffusion (DrDiff) framework determines kinetics and thermodynamics of two-state folding trajectory and tunes diffusion models
(Amer Inst Physics, 2019-09-21)
The stochastic drift-diffusion (DrDiff) theory is an approach used to characterize the dynamical properties of simulation data. With new features in transition times analyses, the framework characterized the thermodynamic ...
A model for defect formation in materials exposed to radiation
(American Institute of Physics, 2021)
A simple model for the stochastic evolution of defects in a material under irradiation is presented. Using the master-equation formalism, we derive an expression for the average number of defects in terms of the power flux ...