Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-06-02
Physics
Condensed Matter
Statistical Mechanics
54 pages, 9 figures
Scientific paper
The partition functions for two-dimensional nearest neighbour Ising model in a non-zero magnetic field have been derived for finite square lattices with the help of graph theoretical procedures, show-bit algorithm, enumeration of configurations and transfer matrix methods. A new recurrence relation valid for all lattice sizes is proposed. A novel method of computing the critical temperature has been demonstrated. The magnetization and susceptibility for infinite lattices in the presence of magnetic field is estimated. The critical exponent {\delta} pertaining to the magnetization has also been computed.
Kumar Vinoth M.
Nandhini G.
Sangaranarayanan M. V.
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