Abstract
The possibility of generalizing thermodynamic potentials to non-equilibrium steady states of dissipative dynamical systems subject to weak stochastic perturbations is discussed. In the first part the general formal approach is presented and illustrated by a number of examples where a rather straightforward definition of non-equilibrium potentials is possible. In the second part a number of generic properties of non-equilibrium potentials is discussed, such as only piecewise differentiability and extremum properties. We conclude with a nontrivial example involving the coexistence of an attracting fixed point and a limit cycle.
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Graham, R. (1987). Weak Noise Limit and Nonequilibrium Potentials of Dissipative Dynamical Systems. In: Tirapegui, E., Villarroel, D. (eds) Instabilities and Nonequilibrium Structures. Mathematics and Its Applications, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3783-3_12
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DOI: https://doi.org/10.1007/978-94-009-3783-3_12
Publisher Name: Springer, Dordrecht
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