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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Pruessner, G. (2013). A Field Theory for Self-organised Criticality. In: Gilbert, T., Kirkilionis, M., Nicolis, G. (eds) Proceedings of the European Conference on Complex Systems 2012. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-00395-5_13
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DOI: https://doi.org/10.1007/978-3-319-00395-5_13
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