Coarse-graining or dimension reduction is the procedure of approximating a system by a simpler or lower dimensional one. This is typically achieved by passage to the limit of some parameter in the original system. Variational-evolution structures have been successfully used in recent years to pass to the limit in case of dissipative (gradient-flow) systems. However these structures do not straightforwardly apply to systems which additionally have inertial effects. In this talk, I will present a variational technique arising from large-deviations theory which applies to a class of systems where both dissipative and inertial effects are present. I will present the technique by means of an example, the small noise limit of a randomly perturbed Hamiltonian system.
| Subject : | : | oral |
| Topics | : | Statistical mechanics and computation of large deviation rate functions |
| PDF version | : |  PDF version |
