Gyarmati's Variational Principle of Dissipative Processes

INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS Dissipative Quantum Mechanics: The Generalization of the Canonical Quantization and von Neumann Equation

– Sedov variational principle, which is the generalization of the least action principle for the dissipative processes is used to generalize the canoni-cal quantization and von Neumann equation for dissipative systems (particles and strings). PACS 03.65 – Quantum theory; quantum mechanics PACS 05.30 – Quantum statistical mechanics

Generalized Variational Principle for Dissipative Hydrodynamics: Shear Viscosity from Angular Momentum Relaxation in the Hydrodynamical Description of Continuum Mechanics

Maximum Dissipation Principle for Designing Numerical Method in Complex Fluids

I will talk about the general energetic variational approaches for hydrodynamic systems of complex fluids. In these energetic variational approaches, the least action principle (LAP) with action functional gives the Hamiltonian parts (conservative force) of the hydrodynamic systems, and the maximum/minimum dissipation principle (MDP), i.e., Onsager’s principle, gives the dissipative parts (diss...

Variational principle for steady states of dissipative quantum many-body systems.

We present a novel generic framework to approximate the nonequilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative exten...

Radiation reaction at 3.5 post-Newtonian order in effective field theory

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the postNewtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton’s variational principle that rigorously extends the usual Lagrangian and Hamiltonian formalisms to dissipative systems, including the inspiral of a compact binary from the emission of gravitat...