Diffusion-Localization Transition Point of Gravity Type Transport Model on Regular Ring Lattices and Bethe Lattices

Autor: Hajime Koike, Hideki Takayasu, Misako Takayasu
Rok vydání: 2022
Předmět:
Zdroj: Journal of Statistical Physics. 186
ISSN: 1572-9613
0022-4715
Popis: Focusing on the diffusion-localization transition, we theoretically analyzed a nonlinear gravity-type transport model defined on networks called regular ring lattices, which have an intermediate structure between the complete graph and the simple ring. Exact eigenvalues were derived around steady states, and the values of the transition points were evaluated for the control parameter characterizing the nonlinearity. We also analyzed the case of the Bethe lattice (or Cayley tree) and found that the transition point is 1/2, which is the lowest value ever reported.
Databáze: OpenAIRE
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