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   Articles with "interacting particle" as a keyword



On the mean field limit of the Random Batch Method for interacting particle systems

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recommendations! 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

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recommendations! 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

The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems

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recommendations! Published in 2024 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0235162

Abstract: In this paper, we present a rigorous derivation of the mean-field limit for a moderately interacting particle system in Rd(d≥2). For stochastic initial data, we demonstrate that the solution to the interacting particle model, with… read more here.

Keywords: interacting particle; moderately interacting; rigorous derivation; particle ... See more keywords

Stochastic resetting in interacting particle systems: A review

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recommendations! 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

Universal Scale-Free Decay of Tracer-Bath Correlations in d-Dimensional Interacting Particle Systems.

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recommendations! Published in 2024 at "Physical review letters"

DOI: 10.1103/55qy-sflc

Abstract: Quantifying the correlations between the position of a tagged tracer and the density of surrounding bath particles is crucial for understanding tracer diffusion in interacting particle systems, and for characterizing the response properties of the… read more here.

Keywords: bath; universal scale; tracer; interacting particle ... See more keywords