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On dynamical systems and phase transitions for $Q+1$-state $P$-adic Potts model on the Cayley tree
dynamical systems phase transitions
2010/11/11
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respe...
Oriented Site Percolation, Phase Transitions and Probability Bounds
Oriented site percolation Critical probability Phase transition Positive term power series
2008/6/27
We show that one half is a lower bound for the critical probability of an oriented site percolation process of Grimmett and Hiemer. This value improves the known lower bound of one third. We employ an...
Unified approach to evolution equations for non-isothermal phase transitions
Evolution equation Phase field Non-isothermal transitions
2010/9/15
The purpose of the paper is to set up a scheme which embodies and generalizes a wide class of phase-transition models and, moreover, provides a direct approach which avoids ad-hoc assumptions. The sta...
Stability and Existence of Multidimensional Subsonic Phase Transitions
multidimensional subsonic phase transitions
2007/12/10
The purpose of this paper is to prove the uniform stability of multidimensional subsonic phase transitions satisfying the viscosity-capillarity criterion in a van der Waals fluid, and further to estab...