Damaging 2D quantum gravity

C. F. Baillie; D. A. Johnston

Damaging 2D quantum gravity

C. F. Baillie
, D. A. Johnston

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical f³ graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed automaton with varying rules and varying connectivity. In addition, we simulate the automaton on a fixed f³ graph coming from a 2D gravity simulation as a means of exploring the graph geometry.

Original language	English
Pages (from-to)	51-56
Number of pages	6
Journal	Physics Letters B
Volume	326
Issue number	1-2
Publication status	Published - 1994

Cite this

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abstract = "We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical f3 graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed automaton with varying rules and varying connectivity. In addition, we simulate the automaton on a fixed f3 graph coming from a 2D gravity simulation as a means of exploring the graph geometry.",

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AB - We investigate numerically the behaviour of damage spreading in a Kauffman cellular automaton with quenched rules on a dynamical f3 graph, which is equivalent to coupling the model to discretized 2D gravity. The model is interesting from the cellular automaton point of view as it lies midway between a fully quenched automaton with fixed rules and fixed connectivity and a (soluble) fully annealed automaton with varying rules and varying connectivity. In addition, we simulate the automaton on a fixed f3 graph coming from a 2D gravity simulation as a means of exploring the graph geometry.

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JO - Physics Letters B

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Damaging 2D quantum gravity

Abstract

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