Inhomogeneous Ising model on a multiconnected network. (English) Zbl 0714.60100
Summary: We first generalize the inhomogeneous external field Ising model on a ring to include inhomogeneous couplings. We then further generalize the one-dimensional periodic lattice to the simplest multiconnected networks. The fundamental idea and techniques developed here may be also applicable to other problems where topological collective (nonlocal) modes are many fewer in number than total degrees of freedom.
MSC:
60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
82C22 | Interacting particle systems in time-dependent statistical mechanics |
Keywords:
inhomogeneous Ising network; topological invariants; inhomogeneous external field Ising model; periodic latticeReferences:
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