Hydrodynamic approach to many-body systems: exact conservation laws
Narozhny B.N
TL;DR
This paper derives exact conservation laws for interacting electronic systems using the nonequilibrium Keldysh technique, aiming to extend hydrodynamic methods to strongly correlated systems beyond quasiparticle approximations.
Contribution
It provides a pedagogical derivation of continuity equations for conservation laws in interacting systems, facilitating the application of hydrodynamics to strongly correlated electronic transport.
Findings
Derivation of exact conservation laws using Keldysh technique
Framework for extending hydrodynamics to strongly correlated systems
Foundation for future research beyond quasiparticle models
Abstract
In this paper I present a pedagogical derivation of continuity equations manifesting exact conservation laws in an interacting electronic system based on the nonequilibrium Keldysh technique. The purpose of this exercise is to lay the groundwork for extending the hydrodynamic approach to electronic transport to strongly correlated systems where the quasiparticle approximation and Boltzmann kinetic theory fail.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Gas Dynamics and Kinetic Theory · Quantum, superfluid, helium dynamics