<p><span><span><span><span><span><span><span>Physical Review</span></span></span></span></span></span></span></p>

<article class="align-center media media--type-link media--view-mode-default"><div class="field field--name-field-media-entity-link field--type-link field--label-hidden field__item"><a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.042123" target="_blank">pp. 42123</a></div>
      
  </article>

4-bak-sneppen model.jpg

Bak-Sneppen model: Local equilibrium and critical values

Bak-Sneppen model: Local equilibrium and critical values - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.042123

Abstract<br /><br />
The Bak-Sneppen (BS) model is a very simple model that exhibits all the richness of self-organized criticality theory. At the thermodynamic limit, the BS model converges to a situation where all particles have a fitness that is uniformly distributed between a critical value 𝑝𝑐 and 1. The 𝑝𝑐 value is unknown, as are the variables that influence and determine this value. Here we study the BS model in the case in which the lowest fitness particle interacts with an arbitrary even number of 𝑚 nearest neighbors. We show that 𝑝𝑐 verifies a simple local equilibrium relation. Based on this relation, we can determine bounds for 𝑝𝑐 of the BS model and exact results for some BS-like models. Finally, we show how transformations of the original BS model can be done without altering the model's complex dynamics.

Buscador UdeSA

Bak-Sneppen model: local equilibrium and critical values

Link al Paper

Nuestras sedes:

UdeSA - Universidad de San Andrés

Comunidad Ampliada San Andrés: