Dynamical phase transitions in cluster growth processes where growth sites have a finite lifetime
Journal of Physics A: General Physics, ISSN: 0305-4470, Vol: 21, Issue: 6, Page: L345-L351
1988
- 10Citations
- 1Captures
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Article Description
The authors discuss variants of the Eden model for cluster growth, where growth sites have a finite lifetime tau . Time is increased by 1/G when a growth site is transformed into a cluster site; G is the total number of growth sites present at that time. They find by Monte Carlo simulation that the growth process depends drastically on tau . Below a critical lifetime tau ( tau approximately=0.80 on the square lattice) the clusters are described by the fractal dimension of self-avoiding random walks, d =4/3, and the number of cluster sites s increases proportional to time t. Above tau , one finds Eden clusters with d=2 and s approximately=t. Finally, the authors extend results to inhomogeneous media (percolation systems) where a fraction (1-p) of sites is not accessible to the growth process, and discuss the phase diagram.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=36149031992&origin=inward; http://dx.doi.org/10.1088/0305-4470/21/6/005; https://iopscience.iop.org/article/10.1088/0305-4470/21/6/005; http://stacks.iop.org/0305-4470/21/i=6/a=005/pdf; https://dx.doi.org/10.1088/0305-4470/21/6/005; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=6c46b45f-757b-4f29-b952-06d52f6c5fca&ssb=75964216948&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F21%2F6%2F005&ssi=10bcdd76-cnvj-4aa4-ba39-40fb786ce455&ssk=botmanager_support@radware.com&ssm=59074721231518129961782491466521517&ssn=80e9a913cb25248058baabe9b2725698bf230900c3c4-8990-4f21-ad5401&sso=68babf8c-bc564dd29dea444569842585edd2b24860f05f17342665dc&ssp=16182354361726517859172659396948254&ssq=59494695000129262142429239680791380133478&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJ1em14IjoiN2Y5MDAwMGMxZDc2YmItMzk2MS00N2VjLTlkZGItNjdmYTVhZTY2ODdlMi0xNzI2NTI5MjM5NDUzMjA3NjE2NzUtYzQ0NTc0NTcxZGQ1M2M0Mjk2MTQ4IiwiX191em1mIjoiN2Y2MDAwZDc2MzRhNzYtOWU0ZC00YzJjLWIyYTAtZmMwMzRjMmYxNTI5MTcyNjUyOTIzOTQ1MzIwNzYxNjc1LTNiMzM5ZjQxZmQwZTllMzY5NjE2NiIsInJkIjoiaW9wLm9yZyJ9
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