2021-03580 - Post-Doctoral Research Visit F/M Mathematical analysis of metastable processes

Renewable contract : Oui

Level of qualifications required : PhD or equivalent

Fonction : Post-Doctoral Research Visit

Context

The source of many phenomena in physical and life sciences, and in most engineering disciplines, is to be found in microscopic features of the system under consideration. Linking the properties of matter at these different scales is a major challenge, both from the theoretical perspective (understanding how to link a model or an equation at a certain scale to another one at a different scale) and the numerical one (how to couple two consistent descriptions of matter, e.g. atomistic and continuum, using the same code).

MATHERIALS originally focused on computational chemistry issues (electronic structure calculations for materials, laser control of chemical reactions) before gradually widening its scope beyond such considerations and their applications, and applying its expertise to related topics at very different scales. This has led to studies in molecular dynamics (in situ molecular system evolution), in computational statistical mechanics (computation of ensemble averages), and studies of relationships with more traditional mechanical models at the continuum scale and multiscale simulation of fluid or solid materials in general (including periodic and
random homogenization).

MATHERIALS currently offers a range of expertise, rarely found on the inter national scene, in a number of promising topics for numerical simulation and applied mathematics in general: molecular chemistry, solid-state physics, numerical modeling in materials science, etc.

Assignment

The aim of the postdoctoral work will be to quantify, from a mathematical viewpoint, the metastability of certain stochastic processes through the study of quasi-stationary distributions.

Main activities

The postdoctoral fellow will conduct his/her research within the MATHERIALS team, interacting mostly with Tony Lelievre and Gabriel Stoltz. He/She will write research articles and present his/her work in international conferences.

Skills

The candidate is required to have a strong experience with the mathematical techniques related to analysis of dynamics encountered in computational statistical physics (e.g. longtime convergence of hypoelliptic Fokker-Planck equations associated with Langevin dynamics, spectral analysis of generator of diffusion processes, etc).

The documents expected for the application are: CV, list of publications, recommendation letters, PhD reports (or some statement by the PhD supervisor confirming a tentative date of defense).

Benefits package

  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking (after 6 months of employment) and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage