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Zhang, M. Q.; Percus, J. K.

Inhomogeneous Ising model on a multiconnected network. (English) Zbl 0714.60100

J. Stat. Phys. 56, No. 5-6, 695-708 (1989).
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.

Cited in 3 Documents

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 lattice
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References:

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