A transfer-matrix study of directed lattice animals and directed percolation on a square lattice
| Autor: | Dragica Knežević, Milan Knežević |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Condensed matter physics Extrapolation General Physics and Astronomy Statistical and Nonlinear Physics Percolation threshold STRIPS 01 natural sciences Directed percolation Transfer matrix Square lattice 010305 fluids & plasmas law.invention law Modeling and Simulation Lattice (order) 0103 physical sciences Statistical physics 010306 general physics Critical exponent Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 49:115001 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8113/49/11/115001 |
| Popis: | We studied the large-scale properties of directed lattice animals and directed percolation on a square lattice. Using a transfer-matrix approach on strips of finite widths, we generated relatively long sequences of estimates for effective values of critical fugacity, percolation threshold and correlation length critical exponents. We applied two different extrapolation methods to obtain estimates for infinite systems. The precision of our final estimates is comparable to (or better than) the precision of the best currently available results. |
| Databáze: | OpenAIRE |
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