Stochastic transitions between attractors in a tristable thermochemical system: competition between stable states
Sign Up to like & getrecommendations! Published in 2017 at "Reaction Kinetics, Mechanisms and Catalysis"
DOI: 10.1007/s11144-017-1294-8
Abstract: We present the thermochemical model in the tristable regime which is characterized by three distinct attractors: two stationary states and a limit cycle. Transitions between the attractors are studied on the basis of the stochastic… read more here.
Keywords: system; stochastic transitions; competition; passage times ... See more keywords
Technological strategies to estimate and control diffusive passage times through the mucus barrier in mucosal drug delivery☆
Sign Up to like & getrecommendations! Published in 2018 at "Advanced Drug Delivery Reviews"
DOI: 10.1016/j.addr.2017.12.002
Abstract: Abstract In mucosal drug delivery, two design goals are desirable: 1) insure drug passage through the mucosal barrier to the epithelium prior to drug removal from the respective organ via mucus clearance; and 2) design… read more here.
Keywords: drug delivery; drug; passage times; diffusive passage ... See more keywords
Explicit asymptotics on first passage times of diffusion processes
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Probability"
DOI: 10.1017/apr.2020.13
Abstract: Abstract We introduce a unified framework for solving first passage times of time-homogeneous diffusion processes. Using potential theory and perturbation theory, we are able to deduce closed-form truncated probability densities, as asymptotics or approximations to… read more here.
Keywords: explicit asymptotics; first passage; passage times; diffusion processes ... See more keywords
Selfsimilarity of diffusions’ first passage times
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abd59d
Abstract: Considering a general diffusion process that runs over the non-negative half-line, this paper addresses the first-passage time (FPT) to the origin: the time it takes the process to get from an arbitrary fixed positive level… read more here.
Keywords: diffusion; level; first passage; passage times ... See more keywords
Mean first passage times reconstruct the slowest relaxations in potential energy landscapes of nanoclusters.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.032311
Abstract: Relaxation modes are the collective modes in which all probability deviations from equilibrium states decay with the same relaxation rates. In contrast, a first passage time is the required time for arriving for the first… read more here.
Keywords: mean first; potential energy; relaxation; first passage ... See more keywords
First-passage times to anisotropic partially reactive targets.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.054146
Abstract: We investigate restricted diffusion in a bounded domain towards a small partially reactive target in three- and higher-dimensional spaces. We propose a simple explicit approximation for the principal eigenvalue of the Laplace operator with mixed… read more here.
Keywords: times anisotropic; anisotropic partially; partially reactive; passage times ... See more keywords
First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.064137
Abstract: We study the crossing time statistic of diffusing point particles between the two ends of expanding and narrowing two-dimensional conical channels under a transverse external gravitational field. The theoretical expression for the mean first-passage time… read more here.
Keywords: time; passage time; two dimensional; passage times ... See more keywords
Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.032134
Abstract: Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision of estimation to average… read more here.
Keywords: uncertainty relations; bounds fluctuations; first passage; passage times ... See more keywords
Predictions of first passage times in sparse discrete fracture networks using graph-based reductions.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.013304
Abstract: We present a graph-based methodology to reduce the computational cost of obtaining first passage times through sparse fracture networks. We derive graph representations of generic three-dimensional discrete fracture networks (DFNs) using the DFN topology and… read more here.
Keywords: fracture networks; graph based; times sparse; first passage ... See more keywords