Long-time behavior of stochastic model with multi-particle synchronization

Anatoly Manita

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Long-time behavior of stochastic model with multi-particle synchronization

Anatoly Manita

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Abstract

We consider a basic stochastic particle system consisting of $N$ identical particles with isotropic $k$-particle synchronization, $k\geq 2$. In the limit when both number of particles $N$ and time $t=t(N)$ grow to infinity we study an asymptotic behavior of a coordinate spread of the particle system. We describe three time stages of $t(N)$ for which a qualitative behavior of the system is completely different. Moreover, we discuss the case when a spread of the initial configuration depends on $N$ and increases to infinity as $N\to \infty $.

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BibTeX RIS

Anatoly Manita. 2007-02-25. Long-time behavior of stochastic model with multi-particle synchronization. https://arxiv.org/abs/math/0606040

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