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. 2010 May 12;365(1545):1323–1331. doi: 10.1098/rstb.2009.0296

Table 1.

List of possible spontaneous processes in equilibrium and steady-state systems, for monotonically varying parameters (terminology from ancient Greek: exo-, external; endo-, internal; pan-, everywhere; tropos, transformation (Clausius 1865); -genic, generating or producing).

case conditions entropic driving force label extrema at stationary position
equilibrium systems (kdϕeq = d(G/T) ≤ 0)
E1 dS* ≥ 0, δσ ≥ 0 universal panentropic max S*, max σ (= min H/T)
E2 dS* ≥ |δσ| ≥ 0, δσ ≤ 0 internal dominant endoentropic max S*, min σ (= max H/T)
E3 dS* ≤ 0, δσ ≥ |dS*| ≥ 0 external dominant exoentropic min S*, max σ (= min H/T)
steady-state systems (Kdϕst≤ 0 with K = k/θInline graphic)
S1 Inline graphic, Inline graphic universal panentropogenic max Inline graphic, max Inline graphic
S2 Inline graphic, Inline graphic internal dominant endoentropogenic max Inline graphic, min Inline graphic
S3 Inline graphic, Inline graphic external dominant exoentropogenic min Inline graphic, max Inline graphic