Skip to main content

EPSRC Symposium Capstone Conference

Mini Symposium on Molecular dynamics in and out of equilibrium
Organiser: Ben Leimkuhler
Wednesday 1 July 2009


Speakers

  • Ruslan Davidchack (Leicester) Discretisation errors in MD simulations with deterministic and stochastic thermostats
    We investigate the influence of numerical discretisation errors on computed averages in molecular dynamics simulations with deterministic and stochastic thermostats, and discuss possible approaches to estimating such errors and taking them into account when computing the averages. In most cases this enables the use of larger integration time steps than those typically considered acceptable by the MD practitioners.
  • Frédéric Legoll (ENPC, Paris)Parareal algorithms and long-time integration of Hamiltonian systems
    Time integration schemes for ODEs are naturally sequential in time. The parareal algorithm, proposed in 2001, was one of the first efficient integration schemes that include some parallel computations. Since then, it has been successfully used on many different equations.
    Our aim is to get a better understanding of the long-time properties of such an approach, that are of paramount importance when the scheme is used to integrate Hamiltonian systems. We will present several modifications of the original scheme, aiming at improving its long-time behaviour.
  • Nawaf Bou-Rabee (New York) Metropolized integrators for SDEs
    Metropolis adjusted integrators for stochastic differential equations (SDE) are presented which (i) are ergodic with respect to the exact equilibrium distribution of the SDE and (ii) approximate pathwise the solutions of the SDE on finite time intervals. Both these properties are demonstrated and precise strong error estimates are derived. It is also shown that the Metropolized integrator retains these properties even in situations where the drift in the SDE is nonglobally Lipschitz, and vanilla explicit integrators for SDEs typically become unstable and fail to be ergodic. This talk is based on a joint paper with Eric Vanden-Eijnden.
  • Emad Noorizadeh (Edinburgh) The concept of heat bath in molecular dynamics
    A heat bath in molecular dynamics is a perturbation of the Hamiltonian dynamics which enables correct computation of ensemble averages. On the other hand computation of dynamical averages such as autocorrelation functions requires the molecular dynamics trajectory to be close to a microcanonical dynamics. This suggests that, ideally, we would like to have a small growth of the perturbation together with a fast rate of convergence to the Boltzmann-Gibbs measure. In this talk we try to quantify the rate of convergence to equilibrium and the growth of the perturbation for Langevin dynamics and the Hoover-Langevin method (a highly degenerate diffusion). We illustrate our results using numerical experiments. This is joint work with Ben Leimkuhler and Oliver Penrose.



Further details will be added as they become available

Aerial photograph of Maths Houses

See also:
Mathematics Research Centre
Mathematical Interdisciplinary Research at Warwick (MIR@W)
Past Events 
Past Symposia 

Internet Access at Warwick:
Where possible, visitors should obtain an EDUROAM account from their own university to enable internet access whilst at Warwick.
If you need WiFi whilst at Warwick, click here for instructions (upon arrival at Warwick)
Registration:
You can register for any of the symposia or workshops online. To see which registrations are currently open and to submit a registration, please click here.
Contact:
Mathematics Research Centre
Zeeman Building
University of Warwick
Coventry CV4 7AL - UK
E-mail:
mrc@maths.warwick.ac.uk