The trapping transition in dynamic (invasion) and static percolation

Autor:	D Meiron, M Pokorny, Charles M. Newman
Rok vydání:	1990
Předmět:	Percolation critical exponents Condensed matter physics Percolation Monte Carlo method General Physics and Astronomy Statistical and Nonlinear Physics Percolation threshold Trapping Renormalization group Directed percolation Critical exponent Mathematical Physics Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 23:1431-1438
ISSN:	1361-6447 0305-4470
DOI:	10.1088/0305-4470/23/8/016
Popis:	For standard 2D bond percolation, the size of regions trapped by the infinite occupied cluster at bond density p is studied by Monte Carlo simulations. It is known that there is a transition at some density pt>1/2 which determines the fractal behaviour of invasion percolation with trapping. The numerical results are that pt approximately=0.520 and the critical exponents are those (( gamma =43/18 and v=4/3) of the usual percolation transition at pc=1/2. Thus invasion percolation with trapping does not appear to belong to a new universality class.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::925d9927bb574928a8e4595f9f4f7cb0 https://doi.org/10.1088/0305-4470/23/8/016 Zobrazit plný text záznamu