MATEC Web Conf.
Volume 125, 201721st International Conference on Circuits, Systems, Communications and Computers (CSCC 2017)
|Number of page(s)||2|
|Published online||04 October 2017|
A cluster expansion for interacting spin-flip processes
1 Dipartimento di Matematica, Università degli Studi di Bologna, P.zza di Porta San Donato 5, 40126 Bologna, Italy
2 Dipartimento di Matematica, Università della Calabria, Campus di Arcavacata, Ponte P. Bucci - cubo 30B, 87036 Arcavacata di Rende, Italy
We consider a system of spin flip processes, one-for each point of , interacting through an Ising type interaction. We construct a cluster expansion and prove that it is convergent when the intensity h of the spin-flip processes is sufficiently high. The system is relevant in the study of the ground state of a quantum Ising process with transverse magnetic field.
© The Authors, published by EDP Sciences, 2017
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