Second time scale of the metastability of reversible inclusion processes

S Kim - Probability Theory and Related Fields, 2021 - Springer
We investigate the second time scale of the metastable behavior of the reversible inclusion
process in an extension of the study by Bianchi et al.(Electron J Probab 22: 1–34, 2017) …

Structure of the condensed phase in the inclusion process

W Jatuviriyapornchai, P Chleboun… - Journal of Statistical …, 2020 - Springer
We establish a complete picture of condensation in the inclusion process in the
thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion …

Dynamics of condensation in the totally asymmetric inclusion process

J Cao, P Chleboun, S Grosskinsky - Journal of Statistical Physics, 2014 - Springer
We study the dynamics of condensation of the inclusion process on a one-dimensional
periodic lattice in the thermodynamic limit, generalising recent results on finite lattices for …

Explosive condensation in symmetric mass transport models

YX Chau, C Connaughton… - Journal of Statistical …, 2015 - iopscience.iop.org
We study the dynamics of condensation in a misanthrope process with nonlinear jump rates
and factorized stationary states. For large enough density, it is known that such models have …

Emergent motion of condensates in mass-transport models

O Hirschberg, D Mukamel, GM Schütz - Physical Review E—Statistical …, 2013 - APS
We examine the effect of spatial correlations on the phenomenon of real-space
condensation in driven mass-transport systems. We suggest that in a broad class of models …

Second time scale of the metastability of reversible inclusion processes

S Kim - arxiv preprint arxiv:2007.05918, 2020 - arxiv.org
We investigate the second time scale of the metastable behavior of the reversible inclusion
process in an extension of the study by [Bianchi, Dommers, and Giardin\a, Electronic Journal …

Population dynamics and stochastic particle systems

W Jatuviriyapornchai - 2017 - wrap.warwick.ac.uk
Nowadays, there is a significant increase in approaches to global challenges facing science,
business and society using mathematics. Real world problems, for example,“When is there a …

Metastability of complex stochastic interacting systems

김선우 - 2023 - s-space.snu.ac.kr
In this Ph. D. thesis, we conduct quantitative analyses of the phenomenon of metastability
occurring in various complex systems, such as ferromagnetic spin systems or interacting …

Dynamics of condensation in stochastic particle systems

J Cao - 2016 - wrap.warwick.ac.uk
Condensation is a special class of phase transition which has been observed throughout the
natural and social sciences. The understanding of the critical behaviour of such systems is a …