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- W3105320753 abstract "We show that an arbitrary Anosov Gaussian thermostat close to equilibrium has positive entropy poduction unless the external field E has a global potential. The configuration space is allowed to have any dimension and magnetic forces are also allowed. We also show the following non-perturbative result. Suppose a Gaussian thermostat satisfies (K_w(sigma)+frac14|E_sigma|^2<0) for every 2-plane σ, where K w is the sectional curvature of the associated Weyl connection and (E_sigma) is the orthogonal projection of E onto σ. Then the entropy production of any SRB measure is positive unless E has a global potential. A related non-perturbative result is also obtained for certain generalized thermostats on surfaces." @default.
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- W3105320753 date "2007-03-23" @default.
- W3105320753 modified "2023-10-16" @default.
- W3105320753 title "Entropy Production in Thermostats II" @default.
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- W3105320753 doi "https://doi.org/10.1007/s10955-007-9301-5" @default.
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