| Issue |
EPL
Volume 135, Number 3, August 2021
|
|
|---|---|---|
| Article Number | 37003 | |
| Number of page(s) | 7 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/ac1d58 | |
| Published online | 18 October 2021 | |
Extracting partition function zeros from Fukui-Todo simulations
1 Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine - Lviv, 79011, Ukraine
2 Centre for Fluid and Complex Systems, Coventry University - Coventry, CV1 5FB, UK
3 𝕃 4 Collaboration & Doctoral College for the Statistical Physics of Complex Systems Leipzig- Lorraine-Lviv-Coventry, Europe
(a) petrosark@gmail.com (corresponding author)
Received: 28 March 2021
Accepted: 13 August 2021
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.
© 2021 EPLA
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