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The one-dimensional contact process: duality and renormalisation

Jef Hooyberghs·Carlo Vanderzande
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Abstract

We study the one-dimensional contact process in its quantum version using a recently proposed real space renormalisation technique for stochastic many-particle systems. Exploiting the duality and other properties of the model, we can apply the method for cells with up to 37 sites. After suitable extrapolation, we obtain exponent estimates which are comparable in accuracy with the best known in the literature.

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Jef Hooyberghs, Carlo Vanderzande. 2000-10-03. The one-dimensional contact process: duality and renormalisation. https://doi.org/10.1103/physreve.63.041109

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