Estimation of Magnetization, Susceptibility and Specific heat for the two-dimensional Ising Model in a Non-zero Magnetic field
G. Nandhini, Kumar, M. Vinoth, M.V. Sangaranarayanan
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 δ pertaining to the magnetization has also been computed.
arXiv:1006.0351•Jun 2, 2010•1 citation