Non-equilibrium transitions and critical points in a two-temperature Ising model

From complex biological systems to a simple simmering pot, thermodynamic systems held out of equilibrium are exceedingly common in nature. Despite this, a general theory to describe these types of phenomena remains elusive. In this talk, we further explore a simple two-temperature modification of the venerable Ising model in hopes of shedding some light on these issues. Of particular interest is the ``freezing by heating'' transition, and a range of larger system sizes are considered in the hopes of determining the transitions critical temperature and exponents. While this transition initially appeared as second-order, evidence suggesting a possible weak first-order nature obscured by finite size effects will also be explored.