Critical discontinuous phase transition in the threshold contact process
| Autor: | Mário J. de Oliveira, Evandro F da Silva |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Statistics and Probability
Phase transition Annihilation Condensed matter physics Monte Carlo method General Physics and Astronomy Statistical and Nonlinear Physics Square lattice symbols.namesake Discontinuous transition Modeling and Simulation Lattice (order) Phase rule symbols Boundary value problem Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 44:135002 |
| ISSN: | 1751-8121 1751-8113 |
| Popis: | We analyze a threshold contact process on a square lattice in which particles are created on empty sites with at least two neighboring particles and are annihilated spontaneously. We show by means of Monte Carlo simulations that the process undergoes a discontinuous phase transition at a definite value of the annihilation parameter, in accordance with the Gibbs phase rule, and that the discontinuous transition exhibits critical behavior. The simulations were performed by using boundary conditions in which the sites of the border of the lattice are permanently occupied by particles. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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