Hamiltonian Structure of Macroscopic System

Abstract

The creation of macroscopic hierarchy (such as fluids or plasmas) is studied in the context of noncanonical Hamiltonian systems. We study the origin of noncanonicality in two perspectives; (1) the reductions from canonical systems, (2) the Lie-Poisson algebras and their deformations, and show how the dynamics of macro-systems can be different from those of microscopic canonical systems.