Universality of Critical-point Exponents with Respect to Lattice Anisotropy*
نویسندگان
چکیده
The universality hypothesis [l] is designed to provide an answer to the question ‘On what features of an interaction Hamiltonian do criticalpoint exponents depend ? ‘. The validity of the universality hypotheses has been seriously questioned by recent results [2-41 that certain exponents for a special sort of two-dimensional Ising-like model varied smoothly with the magnitude of a fourspin interaction. It is, of course, quite possible that the universality hypothesis is still valid for realistic, three-dimensional systems, and it is this problem that we address in the present work. A large portion of the models that are of experimental interest can be described by the classical Hamiltonian
منابع مشابه
Tricritical transition in the classical XY model on Kagomé lattice under local anisotropy
Using mean-field theory and high resolution Monte Carlo simulation technique based on multi-histogram method, we have investigated the critical properties of an antiferromagnetic XY model on the 2D Kagomé lattice, with single ion easy-axes anisotropy. The mean-field theory predicts secondorder phase transition from disordered to all-in all-out state for any value of anisotropy for this model. H...
متن کاملCan the Ising critical behavior survive in synchronous cel - lular automata ?
– Universality classes of Ising-like phase transitions are investigated in series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a univers...
متن کاملCan the Ising critical behavior survive in non-equilibrium synchronous cellular automata?
Universality classes of Ising-like phase transitions are investigated in series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a universal...
متن کاملCan the Ising critical behaviour survive in non-equilibrium synchronous cellular automata?
Universality classes of Ising-like phase transitions are investigated in a series of two-dimensional synchronously updated probabilistic cellular automata (PCAs), whose time evolution rules are either of Glauber type or of majority-vote type, and degrees of anisotropy are varied. Although early works showed that coupled map lattices and PCAs with synchronously updating rules belong to a univers...
متن کاملUniversality of the gauge-ball spectrum of the four-dimensional pure U(1) gauge theory
We continue numerical studies of the spectrum of the pure U(1) lattice gauge theory in the confinement phase, initiated in [1]. Using the extended Wilson action S = −∑P [β cos(ΘP ) + γ cos(2ΘP )] we address the question of universality of the phase transition line in the (β, γ) plane between the confinement and the Coulomb phases. Our present results at γ = −0.5 for the gauge-ball spectrum are ...
متن کامل