The Wolff algorithm,[1] named after Ulli Wolff, is an algorithm for Monte Carlo simulation of the Ising model and Potts model in which the unit to be flipped is not a single spin (as in the heat bath or Metropolis algorithms) but a cluster of them. This cluster is defined as the set of connected spins sharing the same spin states, based on the Fortuin-Kasteleyn representation.
The Wolff algorithm is similar to the Swendsen–Wang algorithm, but different in that the former only flips one randomly chosen cluster with probability 1, while the latter flip every cluster independently with probability 1/2. It is shown numerically that flipping only one cluster decreases the autocorrelation time of the spin statistics.
The advantage of Wolff algorithm over other algorithms for magnetic spin simulations like single spin flip is that it allows non-local moves on the energy. One important consequence of this is that in some situations (e.g. ferromagnetic Ising model or fully frustrated Ising model), the scaling of the Multicanonic simulation is , better than , where z is the exponent associated with the critical slowing down phenomena.
^Wolff, Ulli (1989-01-23). "Collective Monte Carlo Updating for Spin Systems". Physical Review Letters. 62 (4): 361–364. Bibcode:1989PhRvL..62..361W. doi:10.1103/PhysRevLett.62.361. PMID 10040213.
The Wolffalgorithm, named after Ulli Wolff, is an algorithm for Monte Carlo simulation of the Ising model and Potts model in which the unit to be flipped...
techniques such as multigrid methods, Niedermayer's algorithm, Swendsen–Wang algorithm, or the Wolffalgorithm are required in order to resolve the model near...
Swendsen–Wang algorithm — entire sample is divided into equal-spin clusters Wolffalgorithm — improvement of the Swendsen–Wang algorithm Metropolis–Hastings...
A rapidly exploring random tree (RRT) is an algorithm designed to efficiently search nonconvex, high-dimensional spaces by randomly building a space-filling...
Leslie Greengard (voted one of the top 10 algorithms of the 20th century). Ullli Wolff invents the Wolffalgorithm for statistical physics and Monte Carlo...
keys are exchanged between two parties, allowing use of a cryptographic algorithm. If the sender and receiver wish to exchange encrypted messages, each...
doi:10.1016/S0020-0190(98)00002-7; Wagner, Frank; Wolff, Alexander (1997), "A practical map labeling algorithm", Computational Geometry: Theory and Applications...
"Thales vend des radars high-tech au Bangladesh", La Tribune, 9 July 2020. Wolff, Christian. "Ground Master 400 (GM 400)". Radartutorial.eu. Retrieved Oct...
were developed to improve the scaling to a quadratic scaling (see the Wolffalgorithm), beating the critical slowing down. However, it is still an open question...
atrioventricular reentrant tachycardia. It can also evaluate the risk in people with Wolff-Parkinson-White syndrome, as well as terminate supraventricular tachycardia...
supraventricular tachycardia (SVT). AVRT is most commonly associated with Wolff–Parkinson–White syndrome, but is also seen in permanent junctional reentrant...
nor harm from vitamin D in the treatment of patients with MS Chong MS, Wolff K, Wise K, et al. (October 2006). "Cannabis use in patients with multiple...
41 demonstrates that the hospital-optimal algorithm is also applicant-pessimal. Williams KJ, Werth VP, Wolff JA. An analysis of the resident match. N Engl...
differences from the received signals, and an algorithm is usually required to solve this set of equations. An algorithm either: (a) determines numerical values...
Springer, pp. 94–99. Wolff, Karl Erich (2004), "'Particles' and 'Waves' as Understood by Temporal Concept Analysis.", in Wolff, Karl Erich; Pfeiffer...
myocardial infarction, but it may also be caused by left bundle branch block, Wolff–Parkinson–White syndrome, right and left ventricular hypertrophy, or a faulty...
[...] In his book The Race with the Tortoise (Berlin, 1919), Dr Theodor Wolff suggests that it is a derivation from, or a parody of, Ramón Llull's thinking...
research company DeepMind to master the games of chess, shogi and go. This algorithm uses an approach similar to AlphaGo Zero. On December 5, 2017, the DeepMind...
Bibcode:2009JPO....39.1948J. doi:10.1175/2009jpo4124.1. ISSN 0022-3670. Wolff, Julius F. (1979). "Lake Superior Shipwrecks", p. 28. Lake Superior Marine...
discarding portions of the output. Other fast convolution algorithms, such as the Schönhage–Strassen algorithm or the Mersenne transform, use fast Fourier transforms...
: e276–e277 The European Society of Cardiology has developed a diagnostic algorithm for HFpEF, named HFA-PEFF.: 3630 HFA-PEFF considers symptoms and signs...
curators and algorithms; deleting weak or problematic content via curators or algorithms. Social journalism was attacked by media critic Michael Wolff in USA...
optimization Apollonius's problem truncated Newton method Gauss–Newton algorithm Newton's rings Newton's theorem about ovals Newton–Pepys problem Newtonian...
S. National Library of Medicine. PMID 29630265. Retrieved 28 June 2021. Wolff, B. G.; Fleshman, J.W.; Beck, D. E.; Church, J. M. (2007). The ASCRS Textbook...
with operating in this lucrative playground." Writing for Slate, Josephine Wolff criticized the episode for being too cynical in "dismissing tech ethics...
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