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Wio, H. S.; Deza, J.I.; Sánchez, A. D.; et al. "The nonequilibrium potential today: a short review". Chaos Solitons and Fractals. 165, 2022, 112778
A brief review is made of the birth and evolution of the nonequilibrium potential(NEP) concept. As if providing a landscape for qualitative reasoning were not helpful enough, the NEP adds a quantitative dimension to the qualitative theory of differential equations and provides a global Lyapunov function for the deterministic dynamics. Here we illustrate the usefulness of the NEP to draw results on stochastic thermodynamics: the Jarzynski equality in the Wilson-Cowan model (a population-competition model of the neocortex) and a thermodynamic uncertainty relation(TUR) in the KPZ equation (the stochastic field theory of kinetic interface roughening). Additionally, we discuss system-size stochastic resonance in the Wilson-Cowan model and relevant aspects of KPZ phenomenology like the EW-KPZ crossover and the memory of initial conditions.