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- W1551101541 abstract "Infinitely many particles of two types (plus and minus) jump randomly along the one-dimensional lattice $mathbf{Z}_{varepsilon}=varepsilonmathbf{Z}$. Annihillations occur when two particles of different time occupy the same site. Assuming that at time $t=0$ all minus particles are placed on the left of the origin and all plus particles are on the right of it, we study evolution of $beta_varepsilon(t)$, the boundary between two types. We prove that in large density limit $epsilonto 0$ the boundary $beta_varepsilon(t)$ converges to a deterministic limit. This particle system can be interpreted as a microscopic model of price formation on economic markets with large number of players." @default.
- W1551101541 created "2016-06-24" @default.
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- W1551101541 date "2012-04-14" @default.
- W1551101541 modified "2023-09-27" @default.
- W1551101541 title "Dynamics of Phase Boundary with Particle Annihilation" @default.
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