scholarly journals Local scale invariance in the parity conserving non-equilibrium kinetic Ising model

2006 ◽  
Vol 2006 (11) ◽  
pp. L11002-L11002 ◽  
Author(s):  
Géza Ódor
Keyword(s):  
Ising Model ◽  
Scale Invariance ◽  
Local Scale ◽  
Kinetic Ising Model ◽  
Non Equilibrium

scholarly journals AGEING, DYNAMICAL SCALING AND CONFORMAL INVARIANCE

2004 ◽  
Vol 19 (14) ◽  
pp. 2207-2215 ◽  
Author(s):  
MALTE HENKEL
Keyword(s):  
Conformal Invariance ◽  
Scale Invariance ◽  
Free Field ◽  
Glauber Dynamics ◽  
Local Scale ◽  
Field Theories ◽  
Kinetic Ising Model ◽  
Dynamical Scaling ◽  
Lifshitz Point ◽  
Scale Transformations

Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space–time symmetries of certain nonlocal free field theories. The scaling form of two-point functions is completely fixed by the requirement of local scale invariance. These predictions are confirmed through tests in the 3D ANNNI model at its Lifshitz point and in ageing phenomena of simple ferromagnets, here studied through the kinetic Ising model with Glauber dynamics.

Sign in / Sign up

Export Citation Format

Share Document