Influence of distinct kinds of temporal disorder in discontinuous phase transitions

Nonequilibrium Thermodynamics of the Majority Vote Model

“…These properties are promptly verified for the largest fluxes = 12, 14 and 20. For a regular lattice, panels The continuous lines in panels Figure 5a-c are obtained from the bimodal Gaussian description in Equation (11), in good agreement with the simulation results. Remarkably, for both regular and complex topologies, the phase transition can be probed and precisely located from the behavior of any individual flux.…”

“…Aforementioned portraits are exemplified in panels (b) − (d) for θ = 3/8. We remark that continuous lines, given by Equation (11), describe very well the behavior of the entropy production and its derivative, the latter presenting a maximum at f * c scaling with N −1 , whose value as N → ∞ agrees very well with those obtained from the crossing among curves.…”

“…Subsequently, generalizations of the MV model have aroused interest, taking into account the influence of network topology [ 3 , 4 ], the inclusion of distinct noises [ 5 , 6 ], more states per agents [ 7 , 8 ] and more recently, inertial effects [ 8 , 9 , 10 ]. In the latter, the presence of inertial terms has revealed a robust mechanism, affecting the classification of phase transitions even for different lattice topologies [ 10 ] and in systems subject to temporal disorder [ 11 ]. More recently, the main properties of the MV have been extensively studied in terms of entropy production signatures [ 12 , 13 ].…”

“…Figure 5.For the regular lattice with θ = 3/8, k = 20 and distinct system sizes N = L 2 , panels (a,b) depict the most representative (largest absolute values) heat fluxes per particle Φ 's versus control parameter f . Continuous lines denote correspond to the phenomenological approach according to the ideas of Equation(11). Although the component heat flux panel (c) mildly changes with f , all curves also cross at f c .…”