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Abstract: I comment on the relation between two sampling methods for absorbing statemodels. It is shown that a certain ensemble without external field conditionalto activity coincides with the unconditional ensemble for sufficiently smallexternal field. The actual physical processes involved are identical and thederivation of the identity of the scaling behaviour relies on a singleestablished scaling law. While the conditional ensemble by construction doesnot contain information about the system with large external field, it containsall information about the limit of vanishing external field and about thevicinity of the critical point: Finite size scaling as well as critical scalingin the temperature-like variable or in small external field.



Author: Gunnar Pruessner

Source: https://arxiv.org/







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