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arXiv · 2109.03510

Extracting partition function zeros from Fukui-Todo simulations

Petro Sarkanych·Yurij Holovatch·Ralph Kenna·Taras Yavors'kii
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Abstract

The Fukui-Todo algorithm is an important element of the array of simulational approaches to tackling critical phenomena in statistical physics. The partition-function-zero approach is of fundamental importance to understanding such phenomena and a precise tool to measure their properties. However, because the Fukui-Todo algorithm bypasses sample-by-sample energy computation, zeros cannot easily be harnessed through the energy distribution. Here this obstacle is overcome by a novel reweighting technique and zero-detection protocol. The efficacy of the approach is demonstrated in simple iconic models which feature transitions of both first and second order.

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Petro Sarkanych, Yurij Holovatch, Ralph Kenna, Taras Yavors'kii. 2021-09-08. Extracting partition function zeros from Fukui-Todo simulations. https://doi.org/10.1209/0295-5075%2Fac1d58

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