Study of droplets for correlated site-bond percolation in two dimensions
Journal of Physics A: Mathematical and General, ISSN: 1361-6447, Vol: 15, Issue: 12, Page: 699-703
1982
- 11Citations
- 4Captures
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Article Description
The authors study the droplet size distribution of the correlated site-bond percolation model introduced by Coniglio and Klein (1980), and also the usual clusters of two-dimensional Ising models near the critical point. Equilibrium configurations of the Ising model with nearest-neighbour interaction and also one with nearest- and next-nearest-neighbour interactions are generated through a Monte Carlo simulation, and then a cluster analysis is performed. The exponents beta and gamma for the Coniglio and Klein droplet distribution are found to agree, for both the nearest-neighbour and the next-nearest-neighbour model, with the corresponding exponents of the Ising model. The usual Ising clusters diverge only at Tin the Ising model with nearest-neighbour interaction but not for the model with next-nearest-neighbour interaction. The Potts model formulation is used to predict the behaviour of the droplet for general further-neighbour interactions. © 1982 The Japan Society of Applied Physics.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=4243716849&origin=inward; http://dx.doi.org/10.1088/0305-4470/15/12/008; https://iopscience.iop.org/article/10.1088/0305-4470/15/12/008; http://stacks.iop.org/0305-4470/15/i=12/a=008/pdf; https://dx.doi.org/10.1088/0305-4470/15/12/008; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=693c5493-c6cc-4139-acb8-bc51b87adb29&ssb=71860202527&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F15%2F12%2F008&ssi=eb8ee312-cnvj-4059-8e5a-e2113243c7ed&ssk=botmanager_support@radware.com&ssm=977489721512685901498786082504351944&ssn=fa2006ccad5cebb47001111993a97d1d389f0900c3c4-8990-4f21-a89829&sso=36aecf8c-bc564dd29dea09bc55a5fe65232b665ad9ac95119bbb56f3&ssp=35205185091726536566172651598838077&ssq=27517446222112630002429239652904610179482&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBkNzYzNGE3Ni05ZTRkLTRjMmMtYjJhMC1mYzAzNGMyZjE1MjkxNzI2NTI5MjM5NDUzMzI5ODE4MzUtYWJkZjQzMmUzYTFkNDc1ZTE0OTg2MCIsInJkIjoiaW9wLm9yZyIsInV6bXgiOiI3ZjkwMDAwYzFkNzZiYi0zOTYxLTQ3ZWMtOWRkYi02N2ZhNWFlNjY4N2UyLTE3MjY1MjkyMzk0NTMzMjk4MTgzNS04MDAwMjFjMTcyZmYxODU1MTQ5ODM5In0=
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