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Frustrated systems: Ground state properties via combinatorial optimization

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Advances in Computer Simulation

Part of the book series: Lecture Notes in Physics ((LNP,volume 501))

Abstract

An introduction to the application of combinatorial optimization methods to ground state calculations of frustrated, disordered systems is given. We discuss the interface problem in the random bond Ising ferromagnet, the random field Ising model, the diluted antiferromagnet in an external field, the spin glass problem, the solid-on-solid model with a disordered substrte and other convex cost flow problems occurring in superconducting flux line lattices and traffic flow networks. On the algorithmic side we present a concise introduction to a number of elementary algorithms in combinatorial optimization, in particular network flows: the shortest path algorithm, the maximum-flow algorithms and minimum-cost-flow algorithms. We also take a glance at the minimum weighted matching and branch-and-cut algorithms.

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  1. HLRZ c/o Forschungszentrum Jülich, 52425, Jülich, Germany

    Heiko Rieger

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  1. Heiko Rieger
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János Kertész Imre Kondor

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© 1998 Springer-Verlag

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Rieger, H. (1998). Frustrated systems: Ground state properties via combinatorial optimization. In: Kertész, J., Kondor, I. (eds) Advances in Computer Simulation. Lecture Notes in Physics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105463

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  • DOI: https://doi.org/10.1007/BFb0105463

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  • Print ISBN: 978-3-540-63942-8

  • Online ISBN: 978-3-540-69675-9

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