Statistical mechanics of graphity models

Models in Statistical Mechanics †

Two Random Interfaces of Statistical Mechanics Models

We consider the limiting statistical properties of fluctuations of statistical mechanics models. The two random interfaces of one-dimensional statistical physics models is modeled and investigated in the present paper. The two random interfaces are constructed by assuming that there is a specified value of the large area in the intermediate region of the two random interfaces, and the two rando...

Computation of the breakdown of analyticity in statistical mechanics models

Renato Calleja† and Rafael de la Llave‡ Intitute for Computational Engineering and Sciences University of Texas at Austin 1 University Station C1200 Austin, TX 78712-0257, USA (Dated: Mar 14 2009) Abstract We consider one dimensional systems of particles interacting and seek quasi-periodic equilibrium states. Standard arguments show that if there are continuous families of ground states, the sy...

Statistical mechanics of simple models of protein folding and design.

It is now believed that the primary equilibrium aspects of simple models of protein folding are understood theoretically. However, current theories often resort to rather heavy mathematics to overcome some technical difficulties inherent in the problem or start from a phenomenological model. To this end, we take a new approach in this pedagogical review of the statistical mechanics of protein f...

Statistical Mechanics of Lattice Models of Electrochemical Interfaces∗

The interface between a solid electrode and a liquid electrolyte is a complicated multicomponent system, in which the ions and conduction electrons of the electrode interact with solvent molecules and solute ions. A complete description includes diverse effects, such as electrostatic, elastic, and hydrodynamic interactions. In order to create a comprehensible representation of the processes tha...