A Bayesian analysis of Monte Carlo correlation times for the two-dimensional Ising model

Mihir Arjunwadkar, Marc Fasnacht, Joseph B. Kadane and Robert H. Swendsen

Physica A: Statistical Mechanics and its Applications, 2003, vol. 323, issue C, 487-503

Abstract: We present a new Bayesian analysis of the high-accuracy data of Nightingale and Blöte for the correlation times of the two-dimensional Ising model to determine the value of the dynamical critical exponent. We demonstrate the crucial role played by the Nightingale/Blöte assumption that odd terms disappear in their expression for the correlation time as a function of the size of the system. We obtain differing results for the existence of logarithmic corrections and the value of the dynamical critical exponent, depending on whether or not that assumption is valid.

Keywords: Bayesian analysis; Dynamic critical exponent; Ising (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:323:y:2003:i:c:p:487-503

DOI: 10.1016/S0378-4371(03)00007-4

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