Fundamental Aspects of Deterministic Thermostats
Location: CECAM-HQ-EPFL, Lausanne, Switzerland
- Integration algorithms
- Symplectic vs non-symplectic (e.g., measure-preserving) algorithms in principle and in practice. Origins of instabilities and possible solutions.
- Trajectory reweighting schemes for improving accuracy of computed averages and distributions.
- Large timesteps and Jarzynski-type free energy difference computations.
- Development and implementation of generalized Poisson integrators for non-canonical and non-Hamiltonian systems.
- Geometric integrators for rotational dynamics.
- Geometric integration approaches to spin systems and Lie algebras: ``geometric demons''.
- Mixed quantum-classical systems.
- Electronic degrees of freedom.
- Hamiltonian & non-Hamiltonian thermostats
- Mappings between Hamiltonian and non-Hamiltonian systems.
- Geometry of temperature: Configurational temperature and configurational thermostats.
- Statistical mechanics of non-Hamiltonian systems: Metric vs non-metric approaches.
- Time-dependent thermostats. Shakers, etc.
- Ergodicity and chaos in thermostatted systems: dynamical systems perspective
- Diagnostics of ergodicity and nonergodicity in thermostats.
- Rigorous proofs of local integrability or non-integrability.
- Application of concepts and methods of theory of multidimensional Hamiltonian systems.
- Application of concepts and methods of reaction rate theory.
- Deterministic vs stochastic thermostats
- Combining stochastic and deterministic thermostatting mechanisms.
The aim of the workshop is to bring together experts on the various topics mentioned above, for discussion of fundamental theoretical and computationally relevant questions in thermostatted systems. In particular, we believe the time is ripe for fruitful exchange of ideas between researchers knowledgeable about dynamical systems theory as applied to reaction dynamics and the community of molecular dynamics practitioners and experts on geometric integration algorithms. The invited talks and presentations will also serve as an introduction to the field for researchers new to the area.
The overall goal is the establishment of a sound theoretical framework for rational, dynamics-based approaches to the design and assessment of deterministic thermostats.
Alessandro Sergi (University of Kwazulu-Natal) - Organiser
Stephen Wiggins (University of Bristol) - Organiser
Gregory Ezra (Cornell University) - Organiser