Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Tuesday 30 January 2024
Time 11:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Mabillard
Speaker's First Name Joël
Speaker's Email Address
Speaker's Institution Université libre de Bruxelles
Title Dissipative hydrodynamics of systems with broken symmetries
Abstract In phases of condensed matter with broken continuous symmetries, as well as in fluids, transport processes generate irreversibility at the macroscale. To be complete, the hydrodynamic equations must include these dissipative effects. A fundamental question is to deduce all of them from the microscopic Hamiltonian dynamics of the particles with the methods of non-equilibrium statistical mechanics. In this presentation, a first-principle derivation based on a local-equilibrium approach is introduced. As an example of application, the crystalline solid is considered. The breaking of the three-dimensional continuous group of spatial translations implies the existence of three slow modes in addition to the five slow modes arising from the fundamental conservation laws of mass, energy, and linear momentum. Finally, based on the results of the local-equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal are obtained with molecular dynamics simulations.
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