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- W2767077669 abstract "We study the asymptotic behaviour of a finite chain of oscillators (harmonic or anharmonic) coupled to $Mgeq 1$ deterministic Lagrangian thermostats of finite energy. Under appropriate assumptions we prove that the vector $(p,q)$ of moments and coordinates of the oscillators in the chain satisfies $(p,q)(t)to (0,q_c)$ when $ttoinfty$, where $q_c$ is a critical point of some effective potential, so that the oscillators just stop. Moreover, we argue that the energy transport in the system stops as well without reaching the thermal equilibrium. This result is in contrast to the situation when the energies of the thermostats are infinite, studied for a similar system in [13], where the convergence to a non-trivial limiting regime was established. The proof is based on a method developed in [19], where it was observed that the thermostats produce some effective dissipation despite the Lagrangian nature of the system." @default.
- W2767077669 created "2017-11-10" @default.
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- W2767077669 date "2017-11-02" @default.
- W2767077669 modified "2023-09-24" @default.
- W2767077669 title "Freezing effect in a chain of oscillators coupled with thermostats of finite energy" @default.
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