Approximating Partition Functions of Two-State Spin Systems
نویسندگان
چکیده
Two-state spin systems is a classical topic in statistical physics. We consider the problem of computing the partition function of the systems on a bounded degree graph. Based on the self-avoiding tree, we prove the systems exhibits strong correlation decay under the condition that the absolute value of “inverse temperature” is small. Due to strong correlation decay property, an FPTAS for the partition function is presented under the same condition. This condition is sharp for Ising model.
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Article history: Received 10 April 2010 Received in revised form 26 April 2011 Accepted 26 April 2011 Available online 29 April 2011 Communicated by A. Tarlecki
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ورودعنوان ژورنال:
- CoRR
دوره abs/0911.5486 شماره
صفحات -
تاریخ انتشار 2009