Research ArticleOpen accessPhrase in the titleIsing Model for Conductive Percolation in Electrically Conductive Adhesives by Considering Random Arrangement of Conducting ParticlesMora, Sahrul Saehana, Euis Sustini et al.Problem statement: Thermodynamically, particles in composites will arrange in a way such that the Helmholtz free energy is minimized. However, even a single structure has the lowest free energy, it should not ignore the probability of other structures having larger energies to occur, although at small chances. Approach: All possible arrangements of particles in the composites, therefore, must be taken … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 30 May 2012 · 7,243 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInteraction Model in Statistical MechanicsFarida Kachapova, Ilias KachapovStatistical mechanics considers several models such as Ising model, Potts model, Heisenberg model etc. A rigorous mathematical approach based on the axiomatic foundation of probability would benefit the study and applications of these models. In this paper we use this approach to generalize some of these models into one construction named an interaction model. We introduce a mathematically rigorous definition … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 4 Nov 2017 · 7,054 accessesView PDFCite