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https://doi.org/10.5562/cca2313

Continuous Percolation Transition in Random Cluster Growth Model

Bappaditya Roy ; Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India
Sitangshu Bikas Santra ; Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India

Puni tekst: engleski, pdf (3 MB) str. 495-501 preuzimanja: 614* citiraj
APA 6th Edition
Roy, B. i Santra, S.B. (2013). Continuous Percolation Transition in Random Cluster Growth Model. Croatica Chemica Acta, 86 (4), 495-501. https://doi.org/10.5562/cca2313
MLA 8th Edition
Roy, Bappaditya i Sitangshu Bikas Santra. "Continuous Percolation Transition in Random Cluster Growth Model." Croatica Chemica Acta, vol. 86, br. 4, 2013, str. 495-501. https://doi.org/10.5562/cca2313. Citirano 26.02.2021.
Chicago 17th Edition
Roy, Bappaditya i Sitangshu Bikas Santra. "Continuous Percolation Transition in Random Cluster Growth Model." Croatica Chemica Acta 86, br. 4 (2013): 495-501. https://doi.org/10.5562/cca2313
Harvard
Roy, B., i Santra, S.B. (2013). 'Continuous Percolation Transition in Random Cluster Growth Model', Croatica Chemica Acta, 86(4), str. 495-501. https://doi.org/10.5562/cca2313
Vancouver
Roy B, Santra SB. Continuous Percolation Transition in Random Cluster Growth Model. Croatica Chemica Acta [Internet]. 2013 [pristupljeno 26.02.2021.];86(4):495-501. https://doi.org/10.5562/cca2313
IEEE
B. Roy i S.B. Santra, "Continuous Percolation Transition in Random Cluster Growth Model", Croatica Chemica Acta, vol.86, br. 4, str. 495-501, 2013. [Online]. https://doi.org/10.5562/cca2313

Sažetak
A random cluster growth model is developed in terms of two parameters, the initial seed concentration
ρ and the growth probability g of individual clusters. The model is studied on a two dimensional
square lattice. For every ρ value, a critical value of g = gc is determined at which a percolation transition is
observed. A scaling theory for this model is developed and numerically verified. The scaling functions are
found to scale with ρ, g as well as the system size L with appropriate critical exponents. The values of the
critical exponents are found to belong to the same universality class of percolation. Finally a phase diagram
is developed in the ρ − g parameter space for percolating and non-percolating regions separated by a
line of second order phase transition points. (doi: 10.5562/cca2313)

Ključne riječi
percolation; random cluster growth; variable initial conditions; continuous transitions; universality class

Hrčak ID: 112788

URI
https://hrcak.srce.hr/112788

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