Axelrod's model with surface tension

Axelrod's model with surface tension.

In this work we propose a subtle change in Axelrod's model for the dissemination of culture. The mechanism consists of excluding from the set of potentially interacting neighbors those that would never possibly exchange. Although the alteration proposed does not alter the state space topologically, it yields significant qualitative changes, specifically the emergence of surface tension, driving...

Surface tension in the Ising model

In this note we consider a 2–dimensional Ising ferromagnet with nearest neighbor coupling J = − 1 2 . We suppose the system enclosed in a box Ω periodicized in one direction (i.e. Ω is regard as a cylinder). |Ω| denotes its area. Suppose that β = 1/kT is large enough so that a spontaneous magnetization m is possible in zero external field. Let us ask how it is possible to describe, from a micro...

On the Stefan Problem with Surface Tension

1. Introduction The classical Stefan problem is a model for phase transitions in solid-liquid systems and accounts for heat diiusion and exchange of latent heat in a homogeneous medium. The strong formulation of this model corresponds to a moving boundary problem involving a parabolic diiusion equation for each phase and a transmission condition prescribed at the interface separating the phases...

On Hele-shaw Models with Surface Tension

It is shown that surface tension effects on the free boundary have a regularizing effect for Hele-Shaw models, which implies existence and uniqueness of classical solutions for general initial domains.

Measuring Surface Tension with Faraday Waves