scholarly journals Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants

2010 ◽  
Vol 2010 (10) ◽  
pp. P10019 ◽  
Author(s):  
Mohammad Khorrami ◽  
Amir Aghamohammadi
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Coupling Constants ◽  
Kinetic Ising Model ◽  
Dynamical Phase Transition ◽  
One Dimensional ◽  
Dynamical Phase

DYNAMICAL PHASE TRANSITION IN THE ISING MODEL ON A SCALE-FREE NETWORK

2005 ◽  
Vol 19 (32) ◽  
pp. 4769-4776 ◽  
Author(s):  
A. KRAWIECKI
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Ising Model ◽  
Tricritical Point ◽  
System Size ◽  
Critical Parameters ◽  
Dynamical Phase Transition ◽  
First Order ◽  
Dynamical Phase ◽  
Wide Range

Dynamical phase transition in the Ising model on a Barabási–Albert network under the influence of periodic magnetic field is studied using Monte-Carlo simulations. For a wide range of the system sizes N and the field frequencies, approximate phase borders between dynamically ordered and disordered phases are obtained on a plane h (field amplitude) versus T/Tc (temperature normalized to the static critical temperature without external field, Tc∝ ln N). On these borders, second- or first-order transitions occur, for parameter ranges separated by a tricritical point. For all frequencies of the magnetic field, position of the tricritical point is shifted toward higher values of T/Tc and lower values of h with increasing system size, i.e. the range of critical parameters corresponding to the first-order transition is broadened.

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