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Abstract: A scaling approach for nonequilibrium static and dynamic critical behaviour is outlined. It is based on majority rule blocking implemented using complete operator algebra descriptions. These latter descriptions are generally available for particle exclusion models, but have only yielded exact results for special cases such as the steady state of the Asymmetric Exclusion Process (biassed hopping of hard-core particles). For that particular process we first show how the static scaling can be obtained using the reduced algebra which describes the steady state. We then outline how the full static and dynamic scaling follows from blocking using the complete operator algebra, which yields exact critical condition and exponent relations and (in the limit of large dilatation factor) exact individual exponents. Current generalisations to other models and applications to other universal properties will be indicated. |
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