path: root/monte-carlo.bib

@article{alexandrowicz1989swendsen,
  title={Swendsen-Wang simulation of Ising spins and a precise definition of critical clusters},
  author={Alexandrowicz, Z},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={160},
  number={3},
  pages={310--320},
  year={1989},
  publisher={Elsevier}
}

@article{baillie1991comparison,
  title={Comparison of cluster algorithms for two-dimensional Potts models},
  author={Baillie, Clive F and Coddington, Paul D},
  journal={Physical Review B},
  volume={43},
  number={13},
  pages={10617},
  year={1991},
  publisher={APS}
}

@article{coniglio1980clusters,
  title={Clusters and Ising critical droplets: a renormalisation group approach},
  author={Coniglio, A and Klein, W},
  journal={Journal of Physics A: Mathematical and General},
  volume={13},
  number={8},
  pages={2775},
  year={1980},
  publisher={IOP Publishing}
}

@article{coniglio1989exact,
  title={Exact relations between droplets and thermal fluctuations in external field},
  author={Coniglio, A and de Liberto, F and Monroy, G and Peruggi, F},
  journal={Journal of Physics A: Mathematical and General},
  volume={22},
  number={17},
  pages={L837},
  year={1989},
  publisher={IOP Publishing}
}

@article{destri1992swendsen,
  title={Swendsen-Wang Monte Carlo study of the Ising model with external field},
  author={Destri, C and Di Renzo, F and Onofri, E and Rossi, P and Tecchiolli, GP},
  journal={Physics Letters B},
  volume={278},
  number={3},
  pages={311--316},
  year={1992},
  publisher={Elsevier}
}

@article{dotsenko1991cluster,
  title={Cluster Monte Carlo algorithms for random Ising models},
  author={Dotsenko, Vl S and Selke, W and Talapov, AL},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={170},
  number={2},
  pages={278--281},
  year={1991},
  publisher={Elsevier}
}

@article{du2006dynamic,
  title={Dynamic critical exponents for Swendsen--Wang and Wolff algorithms obtained by a nonequilibrium relaxation method},
  author={Du, Jianqing and Zheng, Bo and Wang, Jian-Sheng},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  volume={2006},
  number={05},
  pages={P05004},
  year={2006},
  publisher={IOP Publishing}
}

@article{geyer1992practical,
  title={Practical markov chain monte carlo},
  author={Geyer, Charles J},
  journal={Statistical science},
  pages={473--483},
  year={1992},
  publisher={JSTOR}
}

@article{hastings1970monte,
  title={Monte Carlo sampling methods using Markov chains and their applications},
  author={Hastings, W Keith},
  journal={Biometrika},
  volume={57},
  number={1},
  pages={97--109},
  year={1970},
  publisher={Biometrika Trust}
}

@article{janke1998nonlocal,
  title={Nonlocal Monte Carlo algorithms for statistical physics applications},
  author={Janke, Wolfhard},
  journal={Mathematics and computers in simulation},
  volume={47},
  number={2},
  pages={329--346},
  year={1998},
  publisher={Elsevier}
}

@article{jose1977renormalization,
  title={Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model},
  author={Jos{\'e}, Jorge V and Kadanoff, Leo P and Kirkpatrick, Scott and Nelson, David R},
  journal={Physical Review B},
  volume={16},
  number={3},
  pages={1217},
  year={1977},
  publisher={APS}
}

@article{lauwers1989critical,
  title={The critical 2D Ising model in a magnetic field. A Monte Carlo study using a Swendesen-Wang algorithm},
  author={Lauwers, Paul G and Rittenberg, Vladimir},
  journal={Physics Letters B},
  volume={233},
  number={1-2},
  pages={197--200},
  year={1989},
  publisher={Elsevier}
}

@article{liu2014dynamic,
  title={Dynamic scaling at classical phase transitions approached through nonequilibrium quenching},
  author={Liu, Cheng-Wei and Polkovnikov, Anatoli and Sandvik, Anders W},
  journal={Physical Review B},
  volume={89},
  number={5},
  pages={054307},
  year={2014},
  publisher={APS}
}

@article{loos1969symmetric,
  title={Symmetric spaces},
  author={Loos, Ottmar},
  year={1969},
  publisher={Benjamin}
}

@article{metropolis1953equation,
  title={Equation of state calculations by fast computing machines},
  author={Metropolis, Nicholas and Rosenbluth, Arianna W and Rosenbluth, Marshall N and Teller, Augusta H and Teller, Edward},
  journal={The journal of chemical physics},
  volume={21},
  number={6},
  pages={1087--1092},
  year={1953},
  publisher={AIP}
}

@article{ray1990metastability,
  title={Metastability and nucleation in Ising models with Swendsen-Wang dynamics},
  author={Ray, TS and Wang, Jian-Sheng},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={167},
  number={3},
  pages={580--588},
  year={1990},
  publisher={Elsevier}
}

@article{swendsen1987nonuniversal,
  title={Nonuniversal critical dynamics in Monte Carlo simulations},
  author={Swendsen, Robert H and Wang, Jian-Sheng},
  journal={Physical review letters},
  volume={58},
  number={2},
  pages={86},
  year={1987},
  publisher={APS}
}

@article{wang1989clusters,
  title={Clusters in the three-dimensional Ising model with a magnetic field},
  author={Wang, Jian-Sheng},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={161},
  number={2},
  pages={249--268},
  year={1989},
  publisher={Elsevier}
}

@article{wang1990cluster,
  title={Cluster monte carlo algorithms},
  author={Wang, Jian-Sheng and Swendsen, Robert H},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={167},
  number={3},
  pages={565--579},
  year={1990},
  publisher={Elsevier}
}

@article{wolff1989collective,
  title={Collective Monte Carlo updating for spin systems},
  author={Wolff, Ulli},
  journal={Physical Review Letters},
  volume={62},
  number={4},
  pages={361},
  year={1989},
  publisher={APS}
}


@article{dimitrovic_finite-size_1991,
	title = {Finite-size effects, goldstone bosons and critical exponents in the d = 3 {Heisenberg} model},
	volume = {350},
	issn = {0550-3213},
	url = {http://www.sciencedirect.com/science/article/pii/055032139190167V},
	doi = {10.1016/0550-3213(91)90167-V},
	abstract = {The d = 3 classical O(3) Heisenberg model is studied numerically in the broken phase close to the critical point. The finite-size behaviour of the magnetisation and the correlation functions are shown to be in excellent agreement with the theoretical predictions obtained by chiral perturbation theory. The finite-size effects are governed by two constants, which are defined at infinite volume and zero magnetic field: the Goldstone boson decay constant F (or helicity modulus T = F2) and the magnetisation Σ. The data determine the scaling behaviour of Σ and F leading to the prediction 0.6930(2) for the critical coupling on simple cubic lattices and v′ = 0.73(4) and β = 0.36(2) for the correlation length and magnetisation critical indices, respectively.},
	number = {3},
	urldate = {2018-04-05},
	journal = {Nuclear Physics B},
	author = {Dimitrović, I. and Hasenfratz, P. and Nager, J. and Niedermayer, F.},
	month = feb,
	year = {1991},
	pages = {893--905},
	file = {ScienceDirect Full Text PDF:/home/pants/.zotero/data/storage/QD7P2N8S/Dimitrović et al. - 1991 - Finite-size effects, goldstone bosons and critical.pdf:application/pdf;ScienceDirect Snapshot:/home/pants/.zotero/data/storage/H5G2N432/055032139190167V.html:text/html}
}

@article{stauffer_scaling_1979,
	title = {Scaling theory of percolation clusters},
	volume = {54},
	issn = {0370-1573},
	url = {http://www.sciencedirect.com/science/article/pii/0370157379900607},
	doi = {10.1016/0370-1573(79)90060-7},
	number = {1},
	urldate = {2018-04-20},
	journal = {Physics Reports},
	author = {Stauffer, D.},
	month = jul,
	year = {1979},
	pages = {1--74},
	file = {ScienceDirect Full Text PDF:/home/pants/.zotero/data/storage/KTNA6MWQ/Stauffer - 1979 - Scaling theory of percolation clusters.pdf:application/pdf;ScienceDirect Snapshot:/home/pants/.zotero/data/storage/FYC4TRJZ/0370157379900607.html:text/html}
}

@article{wolff1989comparison,
  title={Comparison between cluster Monte Carlo algorithms in the Ising model},
  author={Wolff, Ulli},
  journal={Physics Letters B},
  volume={228},
  number={3},
  pages={379--382},
  year={1989},
  publisher={Elsevier}
}

@article{wolff1990critical,
  title={Critical slowing down},
  author={Wolff, Ulli},
  journal={Nuclear Physics B-Proceedings Supplements},
  volume={17},
  pages={93--102},
  year={1990},
  publisher={Elsevier}
}