scholarly journals Renormalization Group Approach to the Interfacial Order Parameter Profile near the Critical Point

1977 ◽  
Vol 58 (2) ◽  
pp. 467-481 ◽  
Author(s):  
T. Ohta ◽  
K. Kawasaki
Keyword(s):  
Renormalization Group ◽  
Critical Point ◽  
Order Parameter ◽  
Group Approach ◽  
Renormalization Group Approach ◽  
Parameter Profile

Field-Theory Description of Nonequilibrium Critical Dynamics for Spin Systems

2012 ◽  
Vol 190 ◽  
pp. 23-26
Author(s):  
Ivan A. Kalashnikov ◽  
Pavel V. Prudnikov
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Order Parameter ◽  
Spin Systems ◽  
Critical Dynamics ◽  
Relaxation Dynamics ◽  
Group Approach ◽  
Fixed Dimension ◽  
Renormalization Group Approach ◽  
Short Time

Renormalization-group approach is applied to investigate the short-time nonequilibriumcritical behavior of pure and diluted spin systems with nonmagnetic point-like impurities.The dissipative relaxation dynamics with non-conserved order parameter is considered. For thefirst time the description of the order parameter growth induced by the initial nonequilibriumstate of system is carried out at fixed dimension d = 3 without use of ε-expansion.

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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