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Stability, complexity and the maximum dissipation conjecture
Author(s) -
Nicolis C.,
Nicolis G.
Publication year - 2010
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.642
Subject(s) - dissipation , conjecture , entropy production , formalism (music) , nonlinear system , statistical physics , entropy (arrow of time) , principle of maximum entropy , mathematics , physics , thermodynamics , pure mathematics , quantum mechanics , statistics , art , musical , visual arts
The formalism of irreversible thermodynamics is extended to include the effect of random perturbations and applied to representative systems giving rise to instabilities and to complex nonlinear behaviours. The extent to which dissipation as measured by the entropy production exhibits variational properties that can be linked to key indicators of the dynamical behaviour is explored with emphasis on the conjecture of the climate system as a system of maximum dissipation. Copyright © 2010 Royal Meteorological Society