Renormalization group method applied to the primitive equations

The Renormalization-group Method Applied to Non-equilibrium Dynamics

We review the renormalization group method applied to non-equilibrium dynamics by tracing the way how the hydrodynamic equations can be derived as reduced dynamics of the Boltzmann equation as a typical example.

Renormalization Group Method Applied to Kinetic Equations: roles of initial values and time

The so-called renormalization group (RG) method is applied to derive kinetic and transport equations from the respective microscopic equations. The derived equations include Boltzmann equation in classical mechanics, Fokker-Planck equation, a rate equation in a quantum field theoretical model. Utilizing the formulation of the RG method which elucidates the important role played by the choice of...

Renormalization Group Method Applied to Large Scale Langmuir Turbulence

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

The Renormalization Group as a Method for Analyzing Differential Equations

By following hints derived from similarities between critical phenomena and the theory of qualitatively significant (i.e. singular) perturbations to ordinary differential equations, a renormalization group method of analyzing singular perturbations in differential equations is developed. This method is applied to the Raleigh Equation to develop the method explicitly. Other recent work is briefl...