Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems

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Active Brownian particles (2012, background): “Furthermore, it is in agreement with the general ansatz derived in earlier work from information theory [97,102].”
Relativistic Brownian Motion (2008, background): “A few recent papers [22, 195, 196, 197, 198, 199, 200] have raised doubts about the correctness of Jüttner’s results [186, 194], but relativistic molecular dynamics simulations confirm Jüttner’s prediction [201, 202], cf. discussion in Sections 3.2.2 and 4.3 below.”
Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy (2006, background): “The fundamental problem pursued in equilibrium statistical mechanics is that given a large number of physical species, such as atoms, one wishes to know how they distribute according to some common property, e.g. velocity or energy (Ebeling and Sokolov, 2005).”
A probabilistic description of the bed load sediment flux: 1. Theory (2012, unknown): “…positive x direction during dt is V(x, t + dt) = V (x, t + -dt) + V (x, t + dt), namely This is a flux form of the Master Equation [Risken, 1984; Ebeling and Sokolov, 2005; Furbish et al., (25) (26) (27) 15 2009a, 2009b], illustrating that the volume V(x, t + dt) passing x during dt may be…”