[图书][B] Fluctuations in Markov processes: time symmetry and martingale approximation
The present volume contains the most advanced theories on the martingale approach to
central limit theorems. Using the time symmetry properties of the Markov processes, the …
central limit theorems. Using the time symmetry properties of the Markov processes, the …
Foundation of fractional Langevin equation: harmonization of a many-body problem
In this study we derive a single-particle equation of motion, from first principles, starting out
with a microscopic description of a tracer particle in a one-dimensional many-particle system …
with a microscopic description of a tracer particle in a one-dimensional many-particle system …
First passage times for a tracer particle in single file diffusion and fractional Brownian motion
LP Sanders, T Ambjörnsson - The Journal of chemical physics, 2012 - pubs.aip.org
We investigate the full functional form of the first passage time density (FPTD) of a tracer
particle in a single-file diffusion (SFD) system whose population is:(i) homogeneous, ie, all …
particle in a single-file diffusion (SFD) system whose population is:(i) homogeneous, ie, all …
Diffusion of finite-sized hard-core interacting particles in a one-dimensional box: tagged particle dynamics
L Lizana, T Ambjörnsson - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We solve a nonequilibrium statistical-mechanics problem exactly, namely, the single-file
dynamics of N hard-core interacting particles (the particles cannot pass each other) of size Δ …
dynamics of N hard-core interacting particles (the particles cannot pass each other) of size Δ …
Diffusion of tagged particle in an exclusion process
E Barkai, R Silbey - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We study the diffusion of tagged hard-core interacting Brownian point particles under the
influence of an external force field in one dimension. Using the Jepsen line we map this …
influence of an external force field in one dimension. Using the Jepsen line we map this …
Gumbel laws in the symmetric exclusion process
M Conroy, S Sethuraman - Communications in Mathematical Physics, 2023 - Springer
We consider the symmetric exclusion particle system on Z starting from an infinite particle
step configuration in which there are no particles to the right of a maximal one. We show that …
step configuration in which there are no particles to the right of a maximal one. We show that …
Single-file dynamics with different diffusion constants
We investigate the single-file dynamics of a tagged particle in a system consisting of N
hardcore interacting particles (the particles cannot pass each other) which are diffusing in a …
hardcore interacting particles (the particles cannot pass each other) which are diffusing in a …
[图书][B] Stochastic dynamics and energetics of biomolecular systems
A Ryabov - 2015 - books.google.com
This thesis both broadens and deepens our understanding of the Brownian world. It
addresses new problems in diffusion theory that have recently attracted considerable …
addresses new problems in diffusion theory that have recently attracted considerable …
Exit times of totally asymmetric simple exclusion processes
J Dorignac, F Geniet, E Pitard - Physical Review E, 2024 - APS
We address the question of the time needed by N particles, initially located on the first sites
of a finite one-dimensional lattice of size L, to exit that lattice when they move according to a …
of a finite one-dimensional lattice of size L, to exit that lattice when they move according to a …
Tagged particle in single-file diffusion with arbitrary initial conditions
J Cividini, A Kundu - Journal of Statistical Mechanics: Theory and …, 2017 - iopscience.iop.org
We compute the full probability distribution of the positions of a tagged particle exactly for the
given arbitrary initial positions of the particles, and for general single-particle propagators …
given arbitrary initial positions of the particles, and for general single-particle propagators …