Stochastic Simulations of Far-From-Equilibrium ThermodynamicsPublic
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The field of far-from-equilibrium thermodynamics is underdeveloped. One of the major shortcomings of equilibrium based theory is its inability to explain the emergence of order. This paper looks into some of the standard far-from-equilibrium systems such as Rayleigh Benard Cells, the Kuramoto Model, the Ising model, spatial population growth and heat flow through a simple solid. Stochastic simulations were carried out in order to explicitly compute the variations in system's intensive properties spatially and temporally. One of the striking differences was a non-Gaussian probability distribution of the thermodynamic parameters when driven far-from-equilibrium. This spread of values across systems serve as the common connection as order emerges in out-of-equilibrium systems at steady-state.
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