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- W3105202219 abstract "We consider networks of massive particles connected by non-linear springs. Some particles interact with heat baths at different temperatures, which are modeled as stochastic driving forces. The structure of the network is arbitrary, but the motion of each particle is 1D. For polynomial interactions, we give sufficient conditions for Hormander's bracket condition to hold, which implies the uniqueness of the steady state (if it exists), as well as the controllability of the associated system in control theory. These conditions are constructive; they are formulated in terms of inequivalence of the forces (modulo translations) and/or conditions on the topology of the connections. We illustrate our results with examples, including conducting chains of variable cross-section. This then extends the results for a simple chain obtained in Eckmann, Pillet, Rey-Bellet (1999)." @default.
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- W3105202219 date "2014-03-09" @default.
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- W3105202219 title "Controlling General Polynomial Networks" @default.
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- W3105202219 doi "https://doi.org/10.1007/s00220-014-1966-4" @default.
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