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Non-Equilibrium Steady States for Networks of Oscillators

Noé Cuneo, Jean-Pierre Eckmann, Martin Hairer, Luc Rey-Bellet

26/12/17 Published in : Electron. J. Probab. 23: 1-28 (2018). DOI: 10.1214/18-EJP177

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how some of the results extend to more complicated networks. We establish the existence and uniqueness of the non-equilibrium steady state, and show that the system converges to it at an exponential rate. The arguments are based on controllability and conditions on the potentials at infinity.

Entire article ArXiv

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Superconformal algebras for generalized Spin(7) and G_2 connected sums

Dimensional Reduction in Complex Living Systems: Where, Why, and How

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