The exact solution of the real square-lattice-gas system
نویسندگان
چکیده
منابع مشابه
Exact solution for the lattice gas model in one dimension.
A simple method to obtain a canonical partition function for a one-dimensional lattice gas model is presented. The simplification is based upon rewriting a sum over all possible configurations as a sum over all possible numbers of clusters in the system.
متن کاملExact Solution of the Ising Model on the Square Lattice with Free Boundary Conditions
The square-lattice Ising model is the simplest system showing phase transitions (the transition between the paramagnetic phase and the ferromagnetic phase and the transition between the paramagnetic phase and the antiferromagnetic phase) and critical phenomena at finite temperatures. The exact solution of the squarelattice Ising model with free boundary conditions is not known for systems of ar...
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15 صفحه اولVI.G Exact free energy of the Square Lattice Ising model
As indicated in eq.(VI.35), the Ising partition function is related to a sum S, over collections of paths on the lattice. The allowed graphs for a square lattice have 2 or 4 bonds per site. Each bond can appear only once in each graph, contributing a factor of t ≡ tanhK. While it is tempting to replace S with the exactly calculable sum S ′ , of all phantom loops of random walks on the lattice, ...
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ژورنال
عنوان ژورنال: physica status solidi (b)
سال: 1987
ISSN: 0370-1972,1521-3951
DOI: 10.1002/pssb.2221400212