Short-time critical dynamics of the two-dimensional random-bond Ising model.
2001
Ferromagnetic systems with quenched randomness have been studied intensively in recent years. For such systems, a main subject is whether the quenched randomness changes the universal class of the phase transition. In 1974 Harris had proposed a criterion @1#: if the critical exponent a is positive for the pure system, the quenched randomness changes the critical exponents, but if a is negative, the universal class of the disordered system remains the same. This criterion works well for most systems. However, for the two-dimensional ~2D! Ising model where a50, one cannot draw a definite conclusion. Theoretical analysis predicted that for the 2D Ising model the randomness could only induce a logarithmic correction to the critical behavior, and all the critical exponents are not changed @2–5#. For example, in the critical region the following behavior has been proposed for the correlation length:
Keywords:
- Critical phenomena
- Phase transition
- Quantum electrodynamics
- Monte Carlo molecular modeling
- Critical exponent
- Randomness
- Ising model
- Physics
- Monte Carlo method in statistical physics
- Condensed matter physics
- Square-lattice Ising model
- Kinetic Monte Carlo
- Non-equilibrium thermodynamics
- Classical mechanics
- Scaling
- Monte Carlo method
- Statistical physics
- Correction
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