Extracting partition function zeros from Fukui-Todo simulations

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 understand 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. Copyright (C) 2021 EPLA

Automated summary

The Fukui-Todo algorithm is an important simulational approach for tackling critical phenomena in statistical physics. The partition-function-zero approach is fundamental for understanding such phenomena and measuring their properties accurately. By using a novel reweighting technique and zero-detection protocol, the obstacles caused by bypassing sample-by-sample energy computation in the algorithm are overcome, demonstrating its efficacy in simple iconic models with transitions of both first and second order.