scholarly journals Exact renormalization-group analysis of first-order phase transitions in clock models

1993 ◽  
Vol 48 (6) ◽  
pp. 3626-3632 ◽  
Author(s):  
M. Asorey ◽  
J. G. Esteve ◽  
J. Salas
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Group Analysis ◽  
Renormalization Group Analysis ◽  
First Order ◽  
Exact Renormalization Group ◽  
First Order Phase ◽  
Clock Models

scholarly journals THE EXACT RENORMALIZATION GROUP AND FIRST-ORDER PHASE TRANSITIONS

2001 ◽  
Vol 16 (11) ◽  
pp. 1927-1939 ◽  
Author(s):  
N. TETRADIS
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Scalar Fields ◽  
Bubble Nucleation ◽  
Nucleation Theory ◽  
Three Dimensional Model ◽  
Exponential Factor ◽  
First Order ◽  
Exact Renormalization Group ◽  
First Order Phase

Studies of first-order phase transitions through the use of the exact renormalization group are reviewed. In the first part the emphasis is on universal aspects: We discuss the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields – the cubic anisotropy model. In the second part we review the application of the exact renormalization group to the calculation of bubble-nucleation rates. More specifically, we concentrate on the pre-exponential factor. We discuss the reliability of homogeneous nucleation theory that employs a saddle-point expansion around the critical bubble for the calculation of the nucleation rate.

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