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Abstract for MSRI Preprint 1998-077

Separating Transformations for Controlled Variable Molecular Dynamics

Ben Leimkuhler

We show that Nosé's thermostat can be given a mechanical formulation (with Hamiltonian having a Euclidean kinetic energy metric). We also give a mechanical formulation for simultaneous control of temperature and pressure. This approach simplifies the construction of symplectic methods while providing a more intuitive perspective on the nature of the controlled variable molecular dynamics.