Project Details
Projekt
Coarse-graining from the Liouville equation to fluid dynamics
Subject Area
Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
Term
since 2020
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 431945604
The theory of hydrodynamics is based on conservation laws and constitutive relations. While the conservation laws are universal, the constitutive relations are specific to system and external conditions. In the proposed project we will derive the evolution equations for the mass, energy and momentum density field from the underlying Hamiltonian dynamics. These equations will contain terms that are non-local in time ("memory") and potentially non-local in space ("micropolar"). In addition, they will contain corrections to the fluctuation dissipation relation. We will complement the theoretical work by large-scale computer simulations of liquids close to the glass transition and polymers under external driving in order to quantify the effects of memory and non-equilibrium response. Our goal is to propose extensions to the theory of hydrodynamics that can be applied to systems with interfering relaxation time-scales and to systems under time-dependent driving.
DFG Programme
Research Units
Subproject of
FOR 5099:
Reducing complexity of nonequilibrium systems
Co-Investigator
Dr. Kerstin Falk
