scholarly journals Natural orbitals renormalization group approach to the two-impurity Kondo critical point

2015 ◽  
Vol 91 (15) ◽  
Author(s):  
Rong-Qiang He ◽  
Jianhui Dai ◽  
Zhong-Yi Lu
Keyword(s):  
Renormalization Group ◽  
Critical Point ◽  
Group Approach ◽  
Natural Orbitals ◽  
Renormalization Group Approach

scholarly journals Different types of scaling in the dynamics of period–doubling maps under external periodic driving

2000 ◽  
Vol 5 (3) ◽  
pp. 223-232 ◽  
Author(s):  
N. Yu. Ivank’ov ◽  
S. P. Kuznetsov
Keyword(s):  
Renormalization Group ◽  
Lyapunov Exponent ◽  
Critical Point ◽  
Period Doubling ◽  
Frequency Parameter ◽  
Scaling Behavior ◽  
Binary Representation ◽  
Group Approach ◽  
Different Types ◽  
Renormalization Group Approach

Based on the renormalization group approach developed by Kuznetsov and Pikovsky (Phys. Lett., A140, 1989, 166) several types of scaling are discussed, which can be observed in a neighborhood of Feigenbaum’s critical point at small amplitudes of the driving. The type of scaling behavior depends on a structure of binary representation of the frequency parameter:F-scaling (Feigenbaum’s) for finite binary fractions,P- andQ-scaling (periodic and quasiperiodic) for periodic binary fractions, andS-scaling (statistical) for non-periodic binary fractions. All types of scaling are illustrated by parameter-plane diagrams for the rescaled Lyapunov exponent.

scholarly journals Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 978
Author(s):  
Miroslav Grmela ◽  
Václav Klika ◽  
Michal Pavelka
Keyword(s):  
Renormalization Group ◽  
Critical Point ◽  
Critical Phenomena ◽  
Landau Theory ◽  
Group Approach ◽  
Group Extensions ◽  
Thermodynamic Potentials ◽  
Renormalization Group Approach ◽  
Different Levels

We place the Landau theory of critical phenomena into the larger context of multiscale thermodynamics. The thermodynamic potentials, with which the Landau theory begins, arise as Lyapunov like functions in the investigation of the relations among different levels of description. By seeing the renormalization-group approach to critical phenomena as inseparability of levels in the critical point, we can adopt the renormalization-group viewpoint into the Landau theory and by doing it bring its predictions closer to results of experimental observations.

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