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A Field Theory for Self-organised Criticality

  • Gunnar PruessnerEmail author
Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

Although self-organised criticality has been introduced more than two decades ago, its theoretical foundations remain somewhat elusive: How does it work? What is its link to ordinary critical phenomena? How can exponents be calculated systematically? Does it actually exist at all? In the following a field theory is introduced that addresses these questions. In contrast to previous attempts, this field theory is not phenomenological, or based on symmetry arguments. Rather, it is based on the microscopic dynamics of the Manna Model. Exponents can be calculated in an ϵ-expansion perturbatively in a systematic way. Above the upper critical dimension, the field theory becomes (asymptotically) exact, allowing immediate comparison to numerical results.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  1. 1.Department of MathematicsImperial College LondonLondonUK

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