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MMAS
2010
Springer

Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System

10 years 8 months ago
Simplified Modelling of a Thermal Bath, with Application to a Fluid Vortex System
Based on the thermodynamic concept of a reservoir, we investigate a computational model for interaction with unresolved degrees of freedom (a thermal bath). We assume that a finite restricted system can be modelled by a generalized canonical ensemble, described by a density which is a smooth function of the energy of the restricted system. A thermostat is constructed to continuously perturb the resolved dynamics, while leaving the desired equilibrium distribution invariant. We build on a thermostatting framework developed and tested in the setting of molecular dynamics, using stochastic perturbations to control (and stabilize) the invariant measure. We also apply these techniques in the setting of a simplified point vortex flow on a disc, in which a modified Gibbs distribution (modelling a finite, rather than infinite, bath of weak vortices) provides a regularizing formulation for restricted system dynamics. Numerical experiments, effectively replacing many vortices by a few artificial...
Svetlana Dubinkina, Jason Frank, Ben Leimkuhler
Added 20 May 2011
Updated 20 May 2011
Type Journal
Year 2010
Where MMAS
Authors Svetlana Dubinkina, Jason Frank, Ben Leimkuhler
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