منابع مشابه
Degeneracy Algorithm for Random Magnets
It has been known for a long time that the ground state problem of random magnets, e.g. random field Ising model (RFIM), can be mapped onto the maxflow/min-cut problem of transportation networks. I build on this approach, relying on the concept of residual graph, and design an algorithm that I prove to be exact for finding all the minimum cuts, i.e. the ground state degeneracy of these systems....
متن کاملA Degeneracy Algorithm for Random Magnets and Other Systems
It has been known for a long time that the ground state problem of random magnets, e.g. random field Ising model (RFIM), can be mapped onto the max-flow/min-cut problem of transportation networks. We build on this approach, relying on the concept of residual graph, and design an algorithm that we prove to be exact for finding all the minimum cuts, i.e. the ground state degeneracy of these syste...
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High-temperature series expansions for thermodynamic functions of random-anisotropy-axis models in the limit of infinite anisotropy are presented, for several choices of the number of spin components, m. In three spatial dimensions there is a divergence of the magnetic susceptibility χM for m=2. We find Tc/J=1.78±0.01 on the simple cubic lattice, and on the face-centered cubic lattice, we find ...
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– We study the kinetics of domain growth in ferromagnets with random exchange interactions. We present detailed Monte Carlo results for the nonconserved random-bond Ising model, which are consistent with power-law growth with a variable exponent. These results are interpreted in the context of disorder barriers with a logarithmic dependence on the domain size. Further, we clarify the implicatio...
متن کاملDERGMs: Degeneracy-restricted exponential random graph models
We propose a new exponential family of models for random graphs. Starting from the standard exponential random graph model (ERGM) framework, we propose an extension that addresses some of the well-known issues with ERGMs. Specifically, we solve the problem of computational intractability and ‘degenerate’ model behavior by an interpretable support restriction.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.7978