Publications of the group

Below find list of publications of the group. Please also consult the preprint server

Preprints

  • P. L. Ebert, D. Gessert, W. Janke, and M. Weigel, Optimized population Monte Carlo, Preprint arXiv:2401.07965. [PDF].

2024

  • L. Münster, A. K. Hartmann, and M. Weigel, In and beyond the Griffiths phase: A large-deviation study of the magnetic susceptibility of the two-dimensional bond-diluted Ising model, Phys. Rev. E 110, 054112 (2024). [PDF].
  • D. Gessert, M. Weigel, and W. Janke, Partition Function Zeros of the Frustrated J1-J2 Ising Model on the Honeycomb Lattice, Entropy 26, 919 (2024). [PDF].
  • A. R. S. Macêdo, J. A. Plascak, A. Vasilopoulos, N. G. Fytas, M. Akritidis, M. Weigel, Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models, J. Stat. Mech. 2024, 103204 (2024). [PDF].
  • L. Münster and M. Weigel, Spin glasses and percolation, Front. Phys. 12, 1448175 (2024). [PDF].
  • M. Shen, G. Ortiz, Y.-Y. Liu, M. Weigel, and Z. Nussinov, Universal fragility of spin glass ground states under single bond changes, Phys. Rev. Lett. 132, 247101 (2024). [PDF].

2023

  • D. Gessert, W. Janke, and M. Weigel, Resampling schemes in population annealing: Numerical and theoretical results, Phys. Rev. E 108, 065309 (2023). [PDF].
  • M. Akritidis, N. G. Fytas, and M. Weigel, Geometric clusters in the overlap of the Ising model, Phys. Rev. E 108, 044145 (2023). [PDF].
  • A. R. S. Macêdo, A. Vasilopoulos, M. Akritidis, J. A. Plascak, N. G. Fytas, and M. Weigel, Two-dimensional dilute Baxter-Wu model: Transition order and universality, Phys. Rev. E 108, 024140 (2023). [PDF].
  • S. Caracciolo, A. Hartmann, S. Kirkpatrick, and M. Weigel, Simulated Annealing, Optimization, Searching for Ground States, in: "Spin Glass Theory and Far Beyond", ed. P. Charbonneau, E. Marinari, M. Mézard, G. Parisi, F. Ricci-Tersenghi, G. Sicuro, and F. Zamponi (World Scientific, Singapore, 2023), pp. 1-20. [PDF].
  • J. Zierenberg, F. P. Spitzner, J. Dehning, V. Priesemann, M. Weigel, and M. Wilczek, How contact patterns destabilize and modulate epidemic outbreaks, New. J. Phys. 25, 053033 (2023). [PDF].
  • L. Münster and M. Weigel, Cluster percolation in the two-dimensional Ising spin glass, Phys. Rev. E, 107, 054103 (2023). [PDF].
  • M. Kumar and M. Weigel, Quasi-exact ground-state extrapolation for the random-field Potts model, Comput. Phys. Commun. 286, 108685 (2023). [PDF].

2022

  • M. Kumar, V. Banerjee, S. Puri, and M. Weigel, Critical behavior of the three-state random-field Potts model in three dimensions, Phys. Rev. Res. 4, L042041 (2022). [PDF].
  • P. L. Ebert, D. Gessert, and M. Weigel, Weighted averages in population annealing: Analysis and general framework, Phys. Rev. E 106, 045303 (2022). [PDF].
  • A. Vasilopoulos, Nikolaos G. Fytas, E. Vatansever, A. Malakis, and M. Weigel, Universality in the two-dimensional dilute Baxter-Wu model, Phys. Rev. E 105, 054143 (2022). [PDF].
  • M. Kumar and M. Weigel, On the comparison of optimization algorithms for the random-field Potts model, J. Phys.: Conf. Ser. 2241, 012003 (2022). [PDF].
  • H. Christiansen, M. Weigel, and W. Janke, Simulating Met-Enkephalin With Population Annealing Molecular Dynamics, J. Phys.: Conf. Ser. 2241, 012006 (2022). [PDF].
  • N. G. Fytas, A. Vasilopoulos, E. Vatansever, A. Malakis, and M. Weigel, Multicanonical simulations of the 2D spin-1 Baxter-Wu model in a crystal field, J. Phys.: Conf. Ser. 2207, 012008 (2022). [PDF].
  • D. Gessert, M. Weigel, and W. Janke, Resampling schemes in population annealing - numerical results, J. Phys.: Conf. Ser. 2207, 012012 (2022). [PDF].
  • M. Akritidis, N. G. Fytas, and M. Weigel, Corrections to scaling in geometrical clusters of the 2D Ising model, J. Phys.: Conf. Ser. 2207, 012004 (2022). [PDF].
  • A. Mainou, N. G. Fytas, and M. Weigel, Efficient algorithms for computing ground states of the 2D random-field Ising model, J. Phys.: Conf. Ser. 2207, 012009 (2022). [PDF].
  • D. Foster, N. G. Fytas, C. del Genio, R. Holtzman, A. Kumar, S. Horn, A. Potherat, M. Weigel, and T. Yavors'kii, XXXII IUPAP Conference on Computational Physics, J. Phys.: Conf. Ser. 2207 (2022). [PDF].

2021

  • M. Weigel, L. Barash, L. Shchur, and W. Janke, Understanding population annealing Monte Carlo simulations, Phys. Rev. E 103, 053301 (2021). [PDF].

2020

  • R. Kumar, J. Gross, W. Janke, and M. Weigel, Massively parallel simulations for disordered systems, Eur. Phys. J. B 93, 79 (2020). [PDF].
  • D. Perera, F. Hamze, J. Raymond, M. Weigel, and H. G. Katzgraber, Computational hardness of spin-glass problems with tile-planted solutions, Phys. Rev. E 101, 023316 (2020). [PDF].

2019

  • L. Barash, J. Marshall, M. Weigel, and I. Hen, Estimating the Density of States of Frustrated Spin Systems, New J. Phys. 21, 073065 (2019). [PDF].
  • H. Christiansen, M. Weigel, and W. Janke, Population annealing molecular dynamics with adaptive temperature steps, J. Phys.: Conf. Ser. 1163, 012074 (2019). [PDF].
  • M. Weigel and H. Khoshbakht, High-precision studies of domain-wall properties in the 2D Gaussian Ising spin glass, J. Phys.: Conf. Ser. 1163, 012004 (2019). [PDF].
  • H. Christiansen, M. Weigel, and W. Janke, Accelerating Molecular Dynamics Simulations with Population Annealing, Phys. Rev. Lett. 122, 060602 (2019). [PDF].
  • L. Shchur, L. Barash, M. Weigel, and W. Janke, Population annealing and large scale simulations in statistical mechanics, in: Voevodin V., Sobolev S. (eds), "Supercomputing - RuSCDays 2018", Communications in Computer and Information Science, vol. 965 (Springer, Berlin, 2019), pp. 354-366. [PDF].

2018

  • M.-S. Vaezi, G. Ortiz, M. Weigel, and Z. Nussinov, Binomial Spin Glass, Phys. Rev. Lett. 121, 080601 (2018). [PDF].
  • M. Kumar, R. Kumar, M. Weigel, V. Banerjee, W. Janke, and S. Puri, Approximate ground states of the random-field Potts model from graph cuts, Phys. Rev. E 97, 053307 (2018). [PDF].
  • N. G. Fytas, J. Zierenberg, P. E. Theodorakis, M. Weigel, W. Janke, and A. Malakis, Universality from disorder in the random-bond Blume-Capel model, Phys. Rev. E 97, 040102(R) (2018). [PDF].
  • H. Khoshbakht and M. Weigel, Domain-wall excitations in the two-dimensional Ising spin glass, Phys. Rev. B 97, 064410 (2018). [PDF].
  • J. Gross, J. Zierenberg, M. Weigel, and W. Janke, Massively parallel multicanonical simulations, Comput. Phys. Commun. 224, 387 (2018). [PDF].
  • M. Weigel, Monte Carlo methods for massively parallel computers, in: "Order, Disorder and Criticality", Vol. 5, ed. Yu. Holovatch (World Scientific, Singapore, 2018), pp. 271-340. [PDF].
  • A. Collevecchio, E. M. Elçi, T. M. Garoni, and M. Weigel, On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model, J. Stat. Phys. 170, 22 (2018). [PDF].

2017

  • M. Weigel, L. Y. Barash, M. Borovský, W. Janke, and L. N. Shchur, Population annealing: Massively parallel simulations in statistical physics, J. Phys. Conf. Ser. 921, 012017 (2017). [PDF].
  • L. Yu. Barash, M. Weigel, M. Borovský, W. Janke, and L. N. Shchur, GPU accelerated population annealing algorithm, Comput. Phys. Commun. 220, 341 (2017). [PDF].
  • J. Zierenberg, N. G. Fytas, M. Weigel, W. Janke, and A. Malakis, Scaling and universality in the phase diagram of the 2D Blume-Capel model, Eur. Phys. J. Special Topics 226, 789 (2017). [PDF].
  • L. Y. Barash, M. Weigel, L. N Shchur, and W. Janke, Exploring first-order phase transitions with population annealing, Eur. Phys. J. Special Topics 226, 595 (2017). [PDF].
  • E. Flores-Sola, M. Weigel, R. Kenna, and B. Berche, Cluster Monte Carlo and dynamical scaling for long-range interactions, Eur. Phys. J. Special Topics 226, 581 (2017). [PDF].
  • M. Bachmann, E. Bittner, N. G. Fytas, R. Kenna, M. Weigel, and J. Zierenberg, Recent advances in phase transitions and critical phenomena, Eur. Phys. J. Special Topics 226, 533 (2017). [PDF].
  • V. Dotsenko, Y. Holovatch, M. Dudka, and M. Weigel, Self-averaging in the random two-dimensional Ising ferromagnet, Phys. Rev. E 95, 032118 (2017). [PDF].

2016

  • E.J. Flores-Sola, B. Berche, R. Kenna, and M. Weigel, Role of Fourier modes in finite-size scaling above the upper critical dimension, Phys. Rev. Lett. 115, 115701 (2016). [PDF].
  • E. M. Elçi, M. Weigel, and N. G. Fytas, Connectivity properties of the random-cluster model, J. Phys.: Conf. Ser. 681, 012014 (2016). [PDF].
  • E. M. Elçi, M. Weigel, and N. G. Fytas, Bridges in the random-cluster model, Nucl. Phys. B 903, 19 (2016). [PDF].
  • M. Borovský, M. Weigel, L. Yu. Barash, and M. Žukovic, GPU-accelerated population annealing algorithm: Frustrated Ising antiferromagnet on the stacked triangular lattice, EPJ Web of Conferences 108, 02016 (2016). [PDF].

2015

  • E. M. Elçi, M. Weigel, and N. G. Fytas, Fragmentation of fractal random structures, Phys. Rev. Lett. 114, 115701 (2015). [PDF].
  • M. Weigel, H. G. Katzgraber, J. Machta, F. Hamze, and R. S. Andrist, Erratum: Glassy Chimeras could be blind to quantum speedup: Designing better benchmarks for quantum annealing machines [Phys. Rev. X 4, 021008 (2014)], Phys. Rev. X 5, 019901 (2015). [PDF].
  • E. J. Flores-Sola, B. Berche, R. Kenna and M. Weigel, Finite-size scaling above the upper critical dimension in Ising models with long-range interactions, Eur. Phys. J. B 88, 28 (2015). [PDF].

2014

  • E. M. Elçi and M. Weigel, Dynamic connectivity algorithms for Monte Carlo simulations of the random-cluster model, J. Phys. Conf. Ser. 510, 012013 (2014). [PDF].
  • I. A. Kovács, E. M. Elçi, M. Weigel, and F. Iglói, Corner contribution to cluster numbers in the Potts model, Phys. Rev. B 89, 064421 (2014). [PDF].

2013

  • E. M. Elçi and M. Weigel, Efficient simulation of the random-cluster model, Phys. Rev. E 88, 033303 (2013). [PDF].

2012

  • T. Yavors'kii and M. Weigel, Optimized GPU simulation of continuous-spin glass models, Eur. Phys. J. Special Topics 210, 159 (2012). [PDF].
  • M. Manssen, M. Weigel and A. K. Hartmann, Random number generators for massively parallel simulations on GPU, Eur. Phys. J. Special Topics 210, 53 (2012). [PDF].
  • M. Weigel, A. Arnold, and P. Virnau (eds.), Computer Simulations on Graphics Processing Units, Eur. Phys. J. Special Topics 210 (Springer, Heidelberg, 2012). [PDF].
  • M. Weigel, Simulating spin models on GPU: a tour, Int. J. Mod. Phys. C 23, 1240002 (2012). [PDF].
  • F. Beyer, M. Weigel and M. A. Moore, One-dimensional infinite-component vector spin glass with long-range interactions, Phys. Rev. B 86, 014431 (2012). [PDF].
  • M. Weigel, Performance potential for simulating spin models on GPU, J. Comput. Phys. 231, 3064 (2012). [PDF].

2011

  • T. Ras, R. Schilling, and M. Weigel, Regular packings on periodic lattices, Phys. Rev. Lett. 107, 215503 (2011). [PDF].
  • M. Weigel, Connected-component identification and cluster update on graphics processing units, Phys. Rev. E 84, 036709 (2011). [PDF].
  • M. Weigel, The GPU revolution at work, Computing in Science and Engineering 13 (5), 5 (2011). [PDF].
  • J. D. Stevenson and M. Weigel, Domain walls and Schramm-Loewner evolution in the random-field Ising model, Europhys. Lett. 95, 40001 (2011). [PDF].
  • M. Weigel and T. Yavors'kii, GPU accelerated Monte Carlo simulations of lattice spin models, Physics Procedia 15, 92 (2011). [PDF].
  • M. Weigel, Simulating spin models on GPU, Comput. Phys. Commun. 182, 1833 (2011). [PDF].
  • F. Beyer and M. Weigel, Spin stiffness of vector spin glasses, Comput. Phys. Commun. 182, 1883 (2011). [PDF].
  • H. C. M. Fernandes and M. Weigel, Non-reversible Monte Carlo simulations of spin models, Comput. Phys. Commun. 182, 1856 (2011). [PDF].
  • J. D. Stevenson and M. Weigel, Percolation and Schramm-Loewner evolution in the 2D random-field Ising model, Comput. Phys. Commun. 182, 1879 (2011). [PDF].

2010

  • A. Heuer, M. Kastner, A. Hartmann and M. Weigel, Wanderungen in Energielandschaften, Physik Journal 12/2010, 35 (2010). [PDF].
  • M. Weigel and W. Janke, Error estimation and reduction with cross correlations, Phys. Rev. E 81, 066701 (2010). [PDF].
  • M. Weigel, Generalized-ensemble simulations and cluster algorithms, Physics Procedia 3, 1499 (2010). [PDF].

2009

  • W. Janke, E. Bittner, A. Nußbaumer, and M. Weigel, Football fever: self-affirmation model for goal distributions, Condensed Matter Physics 12, 739 (2009). [PDF].
  • M. Weigel and T. Schilling, Der Komplexität auf den Grund gehen, Natur & Geist, 2/2009, 11 (2009). [PDF].
  • M. Weigel and W. Janke, Cross Correlations in Scaling Analyses of Phase Transitions, Phys. Rev. Lett. 102, 100601 (2009). [PDF].
  • E. Bittner, A. Nußbaumer, W. Janke, and M. Weigel, Football fever: goal distributions and non-Gaussian statistics, Eur. Phys. J. B 67, 459 (2009). [PDF].

2008

  • E. Bittner, A. Nußbaumer, W. Janke, and M. Weigel, Fußballfieber beim Wissenschaftssommer, Journal der Universität Leipzig, 12/08, 22 (2008). [PDF].
  • M. Weigel and M. J. P. Gingras, Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic, Phys. Rev. B 77, 104437 (2008) [PDF].

2007

  • M. Weigel, Genetic embedded matching approach to ground states in continuous-spin systems, Phys. Rev. E 76, 066706 (2007) [PDF].
  • M. Weigel and D. A. Johnston, Frustration effects in antiferromagnets on planar random graphs, Phys. Rev. B 76, 054408 (2007) [PDF].
  • M. Weigel and M. J. P. Gingras, Spin and chiral stiffness of the XY spin glass in two dimensions, J. Phys.: Condens. Matter 19, 145217 (2007) [PDF].
  • E. Bittner, A. Nußbaumer, W. Janke, and M. Weigel, Self-affirmation model for football goal distributions, Europhys. Lett. 78, 58002 (2007) [PDF].

2006

  • W. Janke, D. A. Johnston, and M. Weigel, Two-dimensional quantum gravity - a laboratory for fluctuating graphs and quenched connectivity disorder, Condens. Matter Phys. 9, 263 (2006) [PDF].
  • M. Weigel and W. Janke, Geometric and Stochastic Clusters of Gravitating Potts Models, Phys. Lett. B 639, 373 (2006) [PDF].
  • M. Weigel and M. J. P. Gingras, Ground States and Defect Energies of the Two-dimensional XY Spin Glass from a Quasi-Exact Algorithm, Phys. Rev. Lett. 96, 097206 (2006) [PDF].

2004 — 2005

  • W. Janke and M. Weigel, Simulations of the F Model on Planar Φ4 Feynman Diagrams, PoS (LAT2005) 251. [PDF].
  • M. Weigel and W. Janke, The square-lattice F model revisited: a loop-cluster update scaling study, J. Phys. A 38, 7067 (2005) [PDF].
  • M. Weigel and W. Janke, The F model on dynamical quadrangulations, Nucl. Phys. B 719, 312 (2005) [PDF].
  • W. Janke and M. Weigel, Monte Carlo Studies of Connectivity Disorder, in: “High Performance Computing in Science and Engineering, Munich 2004”, transactions of the “Second Joint HLRB and KONWIHR Result and Reviewing Workshop”, March 2nd and 3rd, 2004, Technical University of Munich (Springer-Verlag, Berlin, Heidelberg, New York, 2005), p. 363 [PDF].
  • W. Janke and M. Weigel, The Harris-Luck Criterion for Random Lattices, Phys. Rev. B 69, 144208 (2004) [PDF].
  • M. Weigel, Comment on “Cluster Monte Carlo study of the antiferromagnetic Z(q) model”, submitted to Phys. Rev. B. [PDF].

2002 — 2003

  • W. Janke and M. Weigel, Effects of Connectivity Disorder on the Potts Model, Acta Physica Polonica B 34, 4891 (2003) [PDF].
  • M. Weigel, Vertex Models on Random Graphs, Ph.D. Thesis, University of Leipzig, 2002 [PDF].
  • W. Janke and M. Weigel, Numerical Tests of CFT Conjectures for 3D Spin Systems, Comput. Phys. Commun. 147, 382 (2002) [PDF].
  • M. Weigel and W. Janke, Algorithmic Tools for Simulations of Vertex Models on Random Graphs, Nucl. Phys. B (Proc. Suppl.) 106–107, 986 (2002) [PDF].
  • M. Weigel, W. Janke and C.-K. Hu, Random-Cluster Multi-Histogram Sampling for the q-State Potts Model, Phys. Rev. E 65, 036109 (2002) [PDF].

2000 — 2001

  • M. Weigel and W. Janke, Universal Amplitude-Exponent Relation for the Ising Model on Sphere-Like Lattices, Europhys. Lett. 51, 578 (2000) [PDF].
  • M. Weigel and W. Janke, Monte Carlo Study of the Scaling of Universal Correlation Lengths in Three-Dimensional O(n) Spin Models, Phys. Rev. B 62, 6343 (2000) [PDF].
  • M. Weigel and W. Janke, Numerical Extension of CFT Amplitude Universality to Three-Dimensional Systems, Physica A 281, 287 (2000) [PDF].
  • M. Weigel and W. Janke, Universal Amplitude Ratios in Finite-Size Scaling: Three-Dimensional Ising Model, Nucl. Phys. B (Proc. Suppl.) 83–84, 721 (2000) [PDF].

1998 — 1999

  • M. Weigel and W. Janke, Universal Amplitudes in the Finite-Size Scaling of Three-Dimensional Spin Models, Phys. Rev. Lett. 82, 2318 (1999) [PDF].
  • M. Weigel and W. Janke, Numerical Tests of Conjectures of Conformal Field Theory for Three-Dimensional Systems, Ann. Phys. (Leipzig) 7, 575 (1998) [PDF].
  • M. Weigel, Numerische Tests von Vermutungen der konformen Feldtheorie für dreidimensionale Systeme, Diploma Thesis, Johannes-Gutenberg-Universität Mainz, 1998. [PDF].