Pinning-depinning transition in a stochastic growth model for the evolution of cell colony fronts in a disordered medium
| Autor: | Ezequiel V. Albano, Nara Guisoni, Belén Moglia |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Ciencias Físicas Física Growth model purl.org/becyt/ford/1.3 [https] Growth model universality class 01 natural sciences 010305 fluids & plasmas Astronomía Computational techniques simulations purl.org/becyt/ford/1 [https] Computer simulation of cell processes Interface structure and roughness 0103 physical sciences Statistical physics 010306 general physics Humanities CIENCIAS NATURALES Y EXACTAS |
| Zdroj: | CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| DOI: | 10.1103/PhysRevE.94.052139 |
| Popis: | We study a stochastic lattice model for cell colony growth, which takes into account proliferation, diffusion, and rotation of cells, in a culture medium with quenched disorder. The medium is composed both by sites that inhibit any possible change in the internal state of the cells, representing the disorder, as well as by active medium sites, that do not interfere with the cell dynamics. By means of Monte Carlo simulations we find that the velocity of the growing interface, which is taken as the order parameter of the model, strongly depends on the density of active medium sites (ρA). In fact, the model presents a (continuous) second-order pinning-depinning transition at a certain critical value of ρ crit A , such as for ρA > ρcritcrit A the interface becomes irreversible pinned by the disorder. By determining the relevant critical exponents, our study reveals that within the depinned phase the interface can be rationalized in terms of the Kardar-Parisi-Zhang universality class, but when approaching the critical threshold, the non-linear term of the Kardar-Parisi-Zhang equation tends to vanish and then the pinned interface belongs to the quenched Edwards-Wilkinson universality class. Instituto de Física de Líquidos y Sistemas Biológicos |
| Databáze: | OpenAIRE |
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