scholarly journals Solitons in the Peyrard–Bishop model of DNA and the Renormalization Group method

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Filip Blaschke ◽  
Ondřej Nicolas Karpíšek ◽  
Petr Beneš
Keyword(s):  
Renormalization Group ◽  
Exact Solutions ◽  
Perturbation Analysis ◽  
Small Amplitude ◽  
Continuous Model ◽  
Group Method ◽  
Renormalization Group Method ◽  
Dna Molecule ◽  
Group Methods ◽  
Renormalization Group Methods

Abstract We investigate solitons in the Peyrard–Bishop model of a DNA molecule using Renormalization Group methods which provide a systematic way for perturbation analysis. Small amplitude expansion is carried out in both the continuous and discrete limits. We review exact solutions for the continuous model. Further, we discuss the reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity, contrary to previous proposals.

scholarly journals Renormalization group methods and the 2PI effective action

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
M. E. Carrington ◽  
Wei-Jie Fu ◽  
D. Pickering ◽  
J. W. Pulver
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Group Methods ◽  
Renormalization Group Methods

scholarly journals New applications of the renormalization group method in physics: a brief introduction

2011 ◽  
Vol 369 (1946) ◽  
pp. 2602-2611 ◽  
Author(s):  
Y. Meurice ◽  
R. Perry ◽  
S.-W. Tsai
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Dynamical Systems ◽  
Particle Physics ◽  
Recent Progress ◽  
Condensed Matter ◽  
Group Method ◽  
Renormalization Group Method ◽  
Theme Issue ◽  
New Applications

The renormalization group (RG) method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and bifurcations in dynamical systems. The Theme Issue provides articles reviewing recent progress made using the RG method in atomic, condensed matter, nuclear and particle physics. In the following, we introduce these articles in a way that emphasizes common themes and the universal aspects of the method.

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