On the mean field limit of the Random Batch Method for interacting particle systems
Sign Up to like & getrecommendations! Published in 2021 at "Science China Mathematics"
DOI: 10.1007/s11425-020-1810-6
Abstract: The Random Batch Method proposed in our previous work (Jin et al. J Comput Phys, 2020) is not only a numerical method for interacting particle systems and its mean-field limit, but also can be viewed… read more here.
Keywords: mean field; field limit; interacting particle;
Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle
Sign Up to like & getrecommendations! Published in 2022 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2023.27
Abstract: Abstract Conjecture II.3.6 of Spohn in [47] and Lecture 7 of Jensen–Yau in [35] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-scale stochastic interacting particle systems. However, the past few… read more here.
Keywords: gibbs principle; interacting particle; nonstationary interacting; boltzmann gibbs ... See more keywords
Stochastic resetting in interacting particle systems: A review
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acda6c
Abstract: We review recent work on systems with multiple interacting-particles having the dynamical feature of stochastic resetting. The interplay of time scales related to inter-particle interactions and resetting leads to a rich behavior, both static and… read more here.
Keywords: systems review; stochastic resetting; interacting particle; resetting interacting ... See more keywords