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anisotropic Heisenberg model for spin S=1/2 and considers phase transition temperatures as a function of the strength of exchange … integrals in line with the role of intra- and interplanar anisotropic interactions in the onset of low-dimensional magnetism …
Persistent link: https://www.econbiz.de/10011063185
Using the Huang–Yang–Luttinger and Lee–Yang virial expansions of a dilute Bose gas as well as our theory of phase transition, we show that in the dilute limit, the critical temperature of Bose–Einstein condensation of a Bose gas is given by [Tc−Tc(0)]/Tc(0)=γn1/3a,...
Persistent link: https://www.econbiz.de/10011063692
This paper revisits the fundamental statistical properties of the crucial model in critical phenomena i.e., the Ising model, guided by our knowledge of the energy values of the Ising Hamiltonian and aided by numerical estimation techniques. We have obtained exact energies in 2D and 3D and nearly...
Persistent link: https://www.econbiz.de/10011063747
By using a decomposition of the transfer matrix of the q-state Potts model on a three-dimensional m×n×n simple cubic lattice its determinant is calculated exactly. By using the calculated determinants, a formula is conjectured that approximates the critical temperature for a d-dimensional...
Persistent link: https://www.econbiz.de/10011063792
The site-diluted Ising model has been investigated using an improved microcanonical algorithm from Creutz Cellular Automaton. For a microcanonical algorithm, the basic problem is to estimate the correct temperatures using average values of the kinetic energy in the simulations of site-diluted...
Persistent link: https://www.econbiz.de/10011064247
Spin correlation identities for the Blume–Capel model on Kagome lattice are derived and combined with rigorous correlation inequalities lead to upper bounds on the critical temperature. From the spin correlation identities the mean field approximation and the effective field approximation...
Persistent link: https://www.econbiz.de/10011193985