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Hydrodynamic limits under pressure

Abstract:

We study the hydrodynamic limit for a one dimensional isothermal anharmonic finite chain in Lagrangian coordinates with hyperbolic space-time scaling. The temperature is kept constant by putting the chain in contact with a heath bath, realised via the addition of a stochastic momentum-preserving noise to the dynamics of the chain. The noise is designed to be large at the microscopic level, but vanishing in the hydrodynamic limit. Boundary conditions are also considered: one end of the chai...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:aaeed84f-52c2-4f84-90eb-8d1974f0588b
Deposit date:
2019-03-20

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