Skip to content
(in progress) I present several ising-like models used in many fields of science.
Branch: master
Clone or download
Fetching latest commit…
Cannot retrieve the latest commit at this time.
Permalink
Type Name Latest commit message Commit time
Failed to load latest commit information.
LICENSE
README.md

README.md

Ising_like_models_interdisciplinary_applications

(in progress) a list of applications of the Ising model and Ising-like models

  • 01-Social dynamics:
  • 02-Economy and Finance
  • 03-Biology
  • 04-Neuroscience
  • 05-Complex Systems & General Things
  • 06-Wetting
  • 07-Casimir effects
  • 08-Geophysics
  • 09-Models inspired by the Ising model
  • 10-History of the model

1-Social dynamics:

  • Stauffer, Dietrich. "Social applications of two-dimensional Ising models." American Journal of Physics 76.4 (2008): 470-473.
  • Galam, Serge. "Rational group decision making: A random field Ising model at T= 0." Physica A: Statistical Mechanics and its Applications 238.1 (1997): 66-80.
  • Laciana, Carlos E., and Santiago L. Rovere. "Ising-like agent-based technology diffusion model: Adoption patterns vs. seeding strategies." Physica A: Statistical Mechanics and its Applications 390.6 (2011): 1139-1149.
  • "Ising-based model of opinion formation in a complex network of interpersonal interactions." Physica A: Statistical Mechanics and its Applications 361.2 (2006): 651-664.
  • Dasgupta, Subinay, Raj Kumar Pan, and Sitabhra Sinha. "Phase of Ising spins on modular networks analogous to social polarization." Physical Review E 80.2 (2009): 025101.
  • del Río, Ana Fernández. "Coupled Ising models and interdependent discrete choices under social influence in homogeneous populations." arXiv preprint arXiv:1104.4887 (2011).
  • Lee, Edward D., William Bialek, and Ned Wingreen. "Investigating Correlations in the US Supreme Court with the Ising Model." (2011).
  • Lucena Júnior, José Emílio de. Modelo de Ising aplicado ao estudo da criminalidade. Diss. Universidade de São Paulo.
  • Stauffer, Dietrich, and Sorin Solomon. "Ising, Schelling and self-organising segregation." The European Physical Journal B 57.4 (2007): 473-479.
  • Ódor, Géza. "Self-organizing, two-temperature Ising model describing human segregation." International journal of modern physics C 19.03 (2008): 393-398.
  • Müller, Katharina, Christian Schulze, and Dietrich Stauffer. "Inhomogeneous and self-organized temperature in Schelling-Ising model." International Journal of Modern Physics C 19.03 (2008): 385-391.
  • Sumour, M. A., M. A. Radwan, and Mohammed M. Shabat. "Highly nonlinear Ising model and social segregation." arXiv preprint arXiv:1106.5574 (2011).
  • Rahimian, Mohammad Amin, and Ali Jadbabaie. "Naive social learning in Ising networks." American Control Conference (ACC), 2016. American Automatic Control Council (AACC), 2016.
  • Ishii, Mitsuru. "Analysis of the growth of social networking services based on the ising type agent model." Analysis(2016).
  • Oh, Wonseok, and Sangyong Jeon. "Membership herding and network stability in the open source community: The Ising perspective." Management science 53.7 (2007): 1086-1101.
  • Giannoccaro, Ilaria, Ilario De Vincenzo, and Giuseppe Carbone. "An Ising-based approach to the study of inter-organizational team dynamics." 2014 IEEE International Conference on Industrial Engineering and Engineering Management. IEEE, 2014.
  • Chen, Shu-Heng, Chia-Ling Chang, and Yi-Heng Tseng. "Social networks, social interaction and macroeconomic dynamics: How much could Ernst Ising help DSGE?." Research in International Business and Finance 30 (2014): 312-335.

2-Economy and Finance

  • Xin, C., G. Yang, and J. P. Huang. "Ising game: Nonequilibrium steady states of resource-allocation systems." Physica A: Statistical Mechanics and its Applications (2016).
  • Ko, Bonggyun, Jae Wook Song, and Woojin Chang. "Simulation of financial market via nonlinear Ising model." International Journal of Modern Physics C 27.04 (2016): 1650038.
  • Fang, Wen, et al. "Linking market interaction intensity of 3D Ising type financial model with market volatility." Physica A: Statistical Mechanics and its Applications (2016).
  • Horvath, Philip A., Kelly R. Roos, and Amit Sinha. "An Ising spin state explanation for financial asset allocation." Physica A: Statistical Mechanics and its Applications 445 (2016): 112-116.
  • Eckrot, A., J. Jurczyk, and I. Morgenstern. "Ising model of financial markets with many assets." Physica A: Statistical Mechanics and its Applications 462 (2016): 250-254.
  • Zhang, Bo, Jun Wang, and Wen Fang. "Volatility behavior of visibility graph EMD financial time series from Ising interacting system." Physica A: Statistical Mechanics and its Applications 432 (2015): 301-314.
  • Slanina, František. "Minority Game: An “Ising Model” of Econophysics." Order, Disorder and Criticality: Advanced Problems of Phase Transition TheoryVolume 3 (2012): 201.
  • Vangheli, Dorina Andru, and Gheorghe Ardelean. "The ising like statistical models for studying the dynamics of the financial stock markets." arXiv preprint cond-mat/0010318 (2000).
  • Bornholdt, Stefan, and Friedrich Wagner. "Stability of money: phase transitions in an Ising economy." Physica A: Statistical Mechanics and its Applications 316.1 (2002): 453-468.
  • Sornette, Didier. "Physics and financial economics (1776–2014): puzzles, Ising and agent-based models." Reports on Progress in Physics 77.6 (2014): 062001.
  • Sornette, Didier, and Wei-Xing Zhou. "Importance of positive feedbacks and overconfidence in a self-fulfilling Ising model of financial markets." Physica A: Statistical Mechanics and its Applications 370.2 (2006): 704-726.
  • Fang, Wen, and Jun Wang. "Fluctuation behaviors of financial time series by a stochastic Ising system on a Sierpinski carpet lattice." Physica A: Statistical Mechanics and Its Applications 392.18 (2013): 4055-4063.
  • Zhou, W-X., and Didier Sornette. "Self-organizing Ising model of financial markets." The European Physical Journal B 55.2 (2007): 175-181.

3-Biology:

  • Weber, Marc, and Javier Buceta. "The cellular Ising model: a framework for phase transitions in multicellular environments." Journal of The Royal Society Interface 13.119 (2016): 20151092.
  • Vtyurina, Natalia N., et al. "Hysteresis in DNA compaction by Dps is described by an Ising model." Proceedings of the National Academy of Sciences (2016): 201521241.
  • Anna Maltsev, Victor Maltsev, Michael Stern. Clusters of calcium release channels harness the Ising phase transition to confine their elementary intracellular signals. https://arxiv.org/abs/1611.02277
  • Noble, Andrew E., Jonathan Machta, and Alan Hastings. "Emergent long-range synchronization of oscillating ecological populations without external forcing described by Ising universality." Nature communications 6 (2015).
  • Li, Xumeng, et al. "Identifying differentially expressed genes in cancer patients using a non‐parameter Ising model." Proteomics 11.19 (2011): 3845-3852.
  • Lobanov, Michail Yu, and Oxana V. Galzitskaya. "The Ising model for prediction of disordered residues from protein sequence alone." Physical biology 8.3 (2011): 035004.
  • Muñoz, Victor. "What can we learn about protein folding from Ising-like models?." Current opinion in structural biology 11.2 (2001): 212-216.
  • Liu, Yi, and James P. Dilger. "Application of the one-and two-dimensional Ising models to studies of cooperativity between ion channels." Biophysical journal 64.1 (1993): 26.
  • Rice, John Jeremy, et al. "Ising model of cardiac thin filament activation with nearest-neighbor cooperative interactions." Biophysical journal 84.2 (2003): 897-909.
  • Majewski, Jacek, Hao Li, and Jurg Ott. "The Ising model in physics and statistical genetics." The American Journal of Human Genetics 69.4 (2001): 853-862.
  • Baran, Robert H., and Hanseok Ko. "An Ising model of transcription polarity in bacterial chromosomes." Physica A: Statistical Mechanics and its Applications 362.2 (2006): 403-422.
  • Schlicht, Robert, and Yoh Iwasa. "Forest gap dynamics and the Ising model." Journal of theoretical biology 230.1 (2004): 65-75.
  • Kizaki, Shinya, and Makoto Katori. "Analysis of canopy-gap structures of forests by Ising-Gibbs states-equilibrium and scaling property of real forests." Journal of the Physical Society of Japan 68.8 (1999): 2553-2560.
  • Katori, Makoto, et al. "Forest dynamics with canopy gap expansion and stochastic Ising model." Fractals 6.01 (1998): 81-86.

4-Neuroscience:

  • Abeyasinghe, Pubuditha M. Structure-Function Relationship of the Brain: A comparison between the 2D Classical Ising model and the Generalized Ising model. Diss. The University of Western Ontario, 2015.
  • Stramaglia, Sebastiano, et al. "Conserved Ising Model on the Human Connectome." arXiv preprint arXiv:1509.02697 (2015).
  • Das, T. K., et al. "Highlighting the structure-function relationship of the brain with the ising model and graph theory." BioMed research international 2014 (2014).
  • Marinazzo, Daniele, et al. "Information transfer and criticality in the ising model on the human connectome." PloS one 9.4 (2014): e93616.
  • Barton, John, and Simona Cocco. "Ising models for neural activity inferred via selective cluster expansion: structural and coding properties." Journal of Statistical Mechanics: Theory and Experiment 2013.03 (2013): P03002.
  • Haslinger, Robert, et al. "Missing mass approximations for the partition function of stimulus driven Ising models." Frontiers in computational neuroscience 7 (2013).
  • Schaub, Michael T., and Simon R. Schultz. "The Ising decoder: reading out the activity of large neural ensembles." Journal of computational neuroscience 32.1 (2012): 101-118.
  • Hertz, John A., et al. "Inferring network connectivity using kinetic Ising models." BMC Neuroscience 11.1 (2010): 1.
  • Tkacik, Gasper, et al. "Spin glass models for a network of real neurons." arXiv preprint arXiv:0912.5409 (2009).
  • Tkacik, Gasper, et al. "Ising models for networks of real neurons." arXiv preprint q-bio/0611072 (2006).

5-Complex Systems & General Things:

  • Collet, Francesca, Marco Formentin, and Daniele Tovazzi. "Rhythmic behavior in a two-population mean-field Ising model." Physical Review E 94.4 (2016): 042139.
  • Ren, Yihui, Stephen Eubank, and Madhurima Nath. "From network reliability to the Ising model: A parallel scheme for estimating the joint density of states." Physical Review E 94.4 (2016): 042125.
  • Morales, Irving O., et al. "Behavior of early warnings near the critical temperature in the two-dimensional Ising model." PloS one 10.6 (2015): e0130751.
  • del Campo, Abraham Martin, Sarah Cepeda, and Caroline Uhler. "Exact goodness-of-fit testing for the Ising model." arXiv preprint arXiv:1410.1242 (2014).
  • Mora, Fernando, et al. "Around the Ising Model." Nonlinear Dynamics: Materials, Theory and Experiments. Springer International Publishing, 2016. 329-345.
  • Suzuki, Hideyuki, Jun-ichi Imura, and Kazuyuki Aihara. "Chaotic Ising-like dynamics in traffic signals." Scientific reports 3 (2013): 1127.
  • Hooyberghs, Hans, et al. "Ising model for distribution networks." Philosophical Magazine 92.1-3 (2012): 168-191.
  • Băutu, Andrei, and Henri Luchian. "Particle Swarm Optimization with spanning tree representation for Ising spin glasses." IEEE Congress on Evolutionary Computation. IEEE, 2010.
  • Nisoli, Cristiano. "Nano-Ising." New Journal of Physics 18.2 (2016): 021007.

6-Wetting:

  • Wu, X-T., D. B. Abraham, and Joseph O. Indekeu. "Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model." Physical review letters 116.4 (2016): 046101.
  • Binder, K., and D. P. Landau. "Wetting and layering in the nearest-neighbor simple-cubic Ising lattice: A Monte Carlo investigation." Physical Review B 37.4 (1988): 1745.
  • Lukas, D., E. Glazyrina, and N. Pan. "Computer simulation of liquid wetting dynamics in fiber structures using the Ising model." Journal of the Textile Institute 88.2 (1997): 149-161.

7-Casimir effects

  • Machta, Benjamin B., Sarah L. Veatch, and James P. Sethna. "Critical Casimir forces in cellular membranes." Physical review letters 109.13 (2012): 138101.
  • Fukuto, Masafumi, Yohko F. Yano, and Peter S. Pershan. "Critical Casimir effect in three-dimensional Ising systems: measurements on binary wetting films." Physical review letters 94.13 (2005): 135702.
  • Abraham, Douglas B., and Anna Maciołek. "Surface states and the Casimir interaction in the Ising model." EPL (Europhysics Letters) 101.2 (2013): 20006.

8-Geophysics:

  • Mariani, M. C., et al. "Ising type models applied to Geophysics and high frequency market data." Physica A: Statistical Mechanics and its Applications 390.23 (2011): 4396-4402.

9-Models inspired by the Ising model

  • Sznajd social model: Sznajd-Weron, Katarzyna, and Jozef Sznajd. "Opinion evolution in closed community." International Journal of Modern Physics C 11.06 (2000): 1157-1165.
  • Hopfield neural model: Hopfield, John J. "Neural networks and physical systems with emergent collective computational abilities." Proceedings of the national academy of sciences 79.8 (1982): 2554-2558.
  • Majority-vote model: de Oliveira, Mário J. "Isotropic majority-vote model on a square lattice." Journal of Statistical Physics 66.1-2 (1992): 273-281.
  • Glauber Model: Glauber, Roy J. "Time‐dependent statistics of the Ising model." Journal of mathematical physics 4.2 (1963): 294-307.

10-History of the model:

  • Brush, Stephen G. "History of the Lenz-Ising model." Reviews of modern physics 39.4 (1967): 883.
  • Niss, Martin. "History of the Lenz-Ising model 1920–1950: from ferromagnetic to cooperative phenomena." Archive for history of exact sciences 59.3 (2005): 267-318.
  • Kochmanski, Martin S. "NOTE ON THE E. ISING’S PAPER, BEITRAG ZUR THEORIE DES FERROMAGNETISMUS”."
You can’t perform that action at this time.