Renormalization group approach to vibrational energy transfer in protein

TL;DR

This paper applies the renormalization group method to analyze vibrational energy transfer in proteins, deriving amplitude equations that describe slow energy dynamics and recover known results from nonlinear optics.

Contribution

It introduces a renormalization group approach to vibrational energy transfer in proteins, providing a unified method for asymptotic analysis and deriving amplitude equations.

Findings

Derived amplitude equations for vibrational energy transfer

Eliminated singular terms related to Fermi resonance

Recovered results from nonlinear optics techniques

Abstract

Renormalization group method is applied to the study of vibrational energy transfer in protein molecule. An effective Lagrangian and associated equations of motion to describe the resonant energy transfer are analyzed in terms of the first-order perturbative renormalization group theory that has been developed as a unified tool for global asymptotic analysis. After the elimination of singular terms associated with the Fermi resonance, amplitude equations to describe the slow dynamics of vibrational energy transfer are derived, which recover the result obtained by a technique developed in nonlinear optics [S.J. Lade, Y.S. Kivshar, Phys. Lett. A 372 (2008) 1077].