Fast and accurate Monte Carlo sampling of first-passage times from Wiener diffusion models

J Drugowitsch - Scientific reports, 2016 - nature.com
… and first-passage times by Monte Carlo simulations 12 . The sampling approach has several
advantages. First, a diffusion model is … of four methods for simulating the diffusion process. …

Elastodiffusion and cluster mobilities using kinetic Monte Carlo simulations: Fast first-passage algorithms for reversible diffusion processes

M Athenes, S Kaur, G Adjanor, T Vanacker… - Physical Review …, 2019 - APS
… of the involved diffusion processes. … time randomization procedure, we show that it is
possible to reconstruct the survival probability distribution from a sample of first-passage times. …

Exact simulation of the first-passage time of diffusions

S Herrmann, C Zucca - Journal of Scientific Computing, 2019 - Springer
method for simulating directly the first-passage time \(\tau _L\) without building the whole paths
of the diffusion process … on the second hand a Monte Carlo procedure in order to estimate …

[HTML][HTML] First passage Monte Carlo algorithms for solving coupled systems of diffusion–reaction equations

S Karl - Applied Mathematics Letters, 2019 - Elsevier
… Stochastic methods for solving boundary value problems for … expectations in the space of
diffusion processes [1]. Implementation … governing the trajectories of the diffusion processes [2]. …

[HTML][HTML] First passage times of two-dimensional correlated processes: Analytical results for the Wiener process and a numerical method for diffusion processes

L Sacerdote, M Tamborrino, C Zucca - Journal of Computational and …, 2016 - Elsevier
diffusion process, we determine the joint density of the first passage times of the process to
some … Indeed it allows to switch from a Monte Carlo simulation method [37] to a deterministic …

First passage statistics for diffusing diffusivity

V Sposini, A Chechkin, R Metzler - Journal of Physics A …, 2018 - iopscience.iop.org
… distribution of anomalous diffusion processes may be … instance, for processes characterised
by scale-free trapping time … (dots) obtained through Monte Carlo simulations are in full …

First-passage distributions for the one-dimensional Fokker-Planck equation

O Artime, N Khalil, R Toral, M San Miguel - Physical Review E, 2018 - APS
… We focus on the case of a diffusion term vanishing linearly at the absorbing point. In this case,
… (19) and the Monte Carlo simulations of the discrete random walker (RW) process. In the …

From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of N random walkers

DS Grebenkov, R Metzler, G Oshanin - New Journal of Physics, 2020 - iopscience.iop.org
diffusion processes was recently reported in [88]. Figure 2(b) shows the relative error of our
approximation for diffusion … -time asymptotic behaviour and Monte Carlo simulations results …

Analysis of nucleation using mean first-passage time data from molecular dynamics simulation

DA Nicholson, GC Rutledge - The Journal of Chemical Physics, 2016 - pubs.aip.org
… (29) gives a value of 0.0642, while their umbrella sampling Monte Carlo method yielded βΔG
* /… birth-death processes, in particular, those that include a diffusive barrier-crossing event. …

A computational approach to first passage problems of reflected hyperexponential jump diffusion processes

N Cai, X Yang - INFORMS Journal on Computing, 2021 - pubsonline.informs.org
… We generate benchmark values using Monte Carlo simulation, which is a methodology
widely used in various contexts (see Glasserman 2004, Asmussen and Glynn 2007). Lépingle (…