Configurations and Observables in an Ising Model with Heat Flow

Abstract

We study a two dimensional Ising model between thermostats at different temperatures. By applying the recently introduced KQ dynamics, we show that the system reaches a steady state with coexisting phases transversal to the heat flow. The relevance of such complex states on thermodynamic or geometrical observables is investigated. In particular, we study energy, magnetization and metric properties of interfaces and clusters which, in principle, are sensitive to local features of configurations. With respect to equilibrium states, the presence of the heat flow amplifies the fluctuations of both thermodynamic and geometrical observables in a domain around the critical energy. The dependence of this phenomenon on various parameters (size, thermal gradient, interaction) is discussed also with reference to other possible diffusive models.

References in corpus (5)

• Thermal conduction in classical low-dimensional lattices
• Absence of local thermal equilibrium in two models of heat conduction
• Magnetization distribution in the transverse Ising chain with energy flux
• Transport Phenomena at a Critical Point -- Thermal Conduction in the Creutz Cellular Automaton --
• Metric Features of a Dipolar Model

Cited by in corpus (8)

• Surface criticality at a dynamic phase transition
• Formation of nonequilibrium modulated phases under local energy input
• Microscopic energy flows in disordered Ising spin systems
• Energy Transport in an Ising Disordered Model
• Interacting Random Walkers and Non-Equilibrium Fluctuations
• Metric characterization of cluster dynamics on the Sierpinski gasket
• Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient
• Thermal Conductivity of Square Ice