An alternative order-parameter for non-equilibrium generalized spin models on honeycomb lattices

Abstract

An alternative definition for the order-parameter is proposed, for a family of non-equilibrium spin models with up-down symmetry on honeycomb lattices, and which depends on two parameters. In contrast to the usual definition, our proposal takes into account that each site of the lattice can be associated with a local temperature which depends on the local environment of each site. Using the generalised voter motel as a test case, we analyse the phase diagram and the critical exponents in the stationary state and compare the results of the standard order-parameter with the ones following from our new proposal, on the honeycomb lattice. The stationary phase transition is in the Ising universality class. Finite-size corrections are also studied and the Wegner exponent is estimated as $\omega =1.06(9)$.

7 pages, Latex2e, 8 figures included. arXiv admin note: text overlap with arXiv:1509.04598

References in corpus (4)

• Mixed spin-1/2 and spin-1 Ising ferromagnets on a triangular lattice
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice
• Critical phenomena in the majority voter model on two dimensional regular lattices
• Antiferromagnetic majority voter model on square and honeycomb lattices