Renormalization-group analysis of repulsive three-body systems

Similarity Renormalization Group for Few-Body Systems

Internucleon interactions evolved via flow equations yield soft potentials that lead to rapid variational convergence in few-body systems. The Similarity Renormalization Group (SRG) [1, 2] provides a compelling method for evolving internucleon forces to softer forms by decoupling lowfrom high-momentum matrix elements [3, 4]. A series of unitary transformations parameterized by s (or λ ≡ s−1/4) ...

Renormalization Group Analysis of Driven Diffusive Systems

The critical properties of statistical systems in thermal equilibrium are well understood, thanks to renormalization group analysis. For systems driven into non-equilibrium steady states, many surprising new features appear. For example, when the Ising lattice gas is driven with biased diffusion or coupled to two thermal baths, long range correlations exist at all temperatures. The second order...

Renormalization Group Renormalization Group

Renormalization group in difference systems

A new singular perturbation method based on the Lie symmetry group is presented to a system of difference equations. This method yields consistent derivation of a renormalization group equation which gives an asymptotic solution of the difference equation. The renormalization group equation is a Lie differential equation of a Lie group which leaves the system approximately invariant. For a 2-D ...

Renormalization group analysis of turbulence

1. Objective The objective is to understand and extend a recent theory of turbulence based on dynamic renormalization group (RNG) techniques. The application of RNG methods to hydrodynamic turbulence has been explored most extensively by Yakhot and Orszag (1986). They calculate an eddy viscosity consistent with the Kolmogorov inertial range by systematic elimination of the small scales in the f...