Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model
نویسندگان
چکیده
منابع مشابه
Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions.
By performing a high-statistics simulation of the D=4 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions (i)...
متن کاملDisordered urn model and random field Ising model
Abstract. A general analytical treatment for the free energy of an urn model with quenched disorder is developed. It is revealed that the disordered urn model has similar mathematical structure to a random field Ising model. From this similarity, the free energy of the disordered urn model in the thermodynamic limit can be calculated from the canonical partition function by the replica analysis...
متن کاملChaos in the random field Ising model
The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos, meaning that the overlap of the old, unperturbed ground state and the new one is smaller than 1, but extensive. In three dimensions the rearrangements are ma...
متن کاملRandom Field Ising Model
This paper gives an introduction to the Random Field Ising Model (RFIM). Since its rst discussion in the paper by Imry and Ma 1] there has been great interest in this model, since Ising or Ising-like systems in random elds are a good representation of a large number of impure materials. These show features that can not be understood by studying ideal systems (i.e. Ising model). There are a lot ...
متن کاملLocal scale-invariance in disordered systems
Dynamical scaling and ageing in disordered systems far from equilibrium is reviewed. Particular attention is devoted to the question to what extent a recently introduced generalization of dynamical scaling to local scale-invariance can describe data for either non-glassy systems quenched to below Tc or else for spin glasses at criticality. The dependence of the scaling behaviour on the distribu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2002
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.89.257204