31. Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions
    2009/09/22 by Junqi Yin, D. P. Landau · 1 citation
    Mathematics · Physics and Astronomy · #Antiferromagnetism #Complex Network Analysis Techniques #Computer science #Condensed matter physics #Critical exponent #Critical line #Critical point (mathematics) #Geometry #Ising model #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Square lattice #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech #k-nearest neighbors algorithm #physics.comp-ph
32. Phase-space networks of geometrically frustrated systems
    2009/02/18 by Yilong Han · 1 citation
    Mathematics · Physics and Astronomy · #Antiferromagnetism #Artificial intelligence #Class (philosophy) #Combinatorics #Complex Network Analysis Techniques #Complex network #Computer science #Condensed matter physics #Ergodic theory #Frustration #Gaussian #Geometry #Homogeneous space #Ising model #Lattice (music) #Mathematics #Opinion Dynamics and Social Influence #Phase (matter) #Phase space #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Square lattice #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
33. Optimal quantum estimation in spin systems at criticality
    2008/07/21 by Carmen Invernizzi, Michael Korbman, Lorenzo Campos Venuti +2 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Coupling constant #Criticality #Estimator #Hamiltonian (control theory) #Ising model #Mathematical optimization #Mathematics #Observable #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Statistical physics #Statistics #quant-ph
34. Self-Masking of Spontaneous Symmetry Breaking in Layer Materials
    2008/06/30 by Hiroyuki Yamase · 1 citation
    Physics and Astronomy · #Anisotropy #Bilayer #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Dispersion (optics) #Fermi surface #Geometry #Instability #Ising model #Materials science #Nuclear magnetic resonance #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Spontaneous symmetry breaking #Stacking #Superconductivity #Symmetry (geometry) #Symmetry breaking #cond-mat.str-el #cond-mat.supr-con
35. Quantum algorithms for spin models and simulable gate sets for quantum computation
    2008/05/08 by M. Van den Nest, Wolfgang Dür, W. Dür +4 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Discrete mathematics #Ising model #Markov Chains and Monte Carlo Methods #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Turing machine #Quantum algorithm #Quantum circuit #Quantum computer #Quantum error correction #Quantum gate #Quantum many-body systems #Quantum mechanics #Theoretical computer science #quant-ph
36. Critical behavior of long straight rigid rods on two-dimensional lattices: Theory and Monte Carlo simulations
    2008/04/22 by D. A. Matoz-Fernandez, D. H. Linares, A. J. Ramírez-Pastor +1 · 2 citations
    Materials Science · Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Geometry #Hexagonal lattice #Ising model #Isotropy #Lattice (music) #Liquid Crystal Research Advancements #Liquid crystal #Material Dynamics and Properties #Mathematics #Monte Carlo method #Optics #Phase transition #Physics #Rod #Square (algebra) #Square lattice #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
37. Cavity method for quantum spin glasses on the Bethe lattice
    2007/06/30 by Chris R. Laumann, C. Laumann, A. Scardicchio +2 · 3 citations
    Mathematics · Physics and Astronomy · #Bethe lattice #Complex Network Analysis Techniques #Generalization #Ising model #Ising spin #Lattice (music) #Mathematics #Observable #Physics #Quantum #Quantum mechanics #Random Matrices and Applications #Spin (aerodynamics) #Spin glass #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
38. Social applications of two-dimensional Ising models
    2007/06/27 by D. Stauffer · 14 citations
    Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #Game Theory and Voting Systems #Ising model #Ising spin #Mathematical model #Opinion Dynamics and Social Influence #Square-lattice Ising model #Urban, Neighborhood, and Segregation Studies #physics.soc-ph
39. Duality and defects in rational conformal field theory
    2006/07/31 by Jürg Fröhlich, Jürgen Fuchs, Ingo Runkel +1 · 2 citations
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Condensed matter physics #Conformal field theory #Conformal map #Conformal symmetry #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Geometry #Homogeneous space #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Physics #Potts model #Pure mathematics #Quantum many-body systems #Symmetry (geometry) #Theoretical physics #hep-th #math.CT
40. High-temperature criticality in strongly constrained quantum systems
    2005/12/13 by Claudio Castelnovo, Claudio Chamon, Christopher Mudry +2 · 1 citation
    Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical phenomena #Criticality #Cuprate #Ising model #Lattice (music) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum fluctuation #Quantum mechanics #Quantum phase transition #Quantum phases #Statistical physics #Superconductivity #Theoretical and Computational Physics #Zero temperature #cond-mat.stat-mech #cond-mat.str-el
41. Weak pairwise correlations imply strongly correlated network states in a neural population
    2005/12/06 by Elad Schneidman, Michael J. Berry II, Michael J. Berry +2 · 19 citations
    Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · Physics and Astronomy · Psychology · #Artificial intelligence #Artificial neural network #Computer science #Correlation #Entropy (arrow of time) #Generality #Ising model #Mathematics #Neural Networks and Applications #Neural dynamics and brain function #Pairwise comparison #Physics #Population #Psychology #Statistical physics #q-bio.NC #q-bio.QM #stochastic dynamics and bifurcation
42. Adiabatic-impulse approximation for avoided level crossings: From phase-transition dynamics to Landau-Zener evolutions and back again
    2005/11/30 by Bogdan Damski, Wojciech H. Zurek · 6 citations
    Computer Science · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Dynamics (music) #Impulse (physics) #Ising model #Phase transition #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Simple (philosophy) #Standard linear solid model #Statistical physics #Voltage #Zener diode #cond-mat.other #hep-th #quant-ph
43. Anyons in an exactly solved model and beyond
    2005/06/17 by Alexei Kitaev · 2 voices · 432 citations
    Physics and Astronomy · #Abelian group #Fermion #Gauge theory #Ising model #Mathematical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological quantum computer #cond-mat.mes-hall #quant-ph
44. Evolution of pairwise entanglement in a coupledn-body system
    2005/03/31 by Carlos Pineda, Thomas H. Seligman, T. H. Seligman · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Chaotic #Computer science #Concurrence #Geometry #Integrable system #Ising model #Mathematical physics #Mathematics #Physics #Quadratic equation #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Qubit #State (computer science) #Statistical physics #quant-ph
45. Ward Identities and Chiral Anomaly in the Luttinger Liquid
    2004/09/02 by G. Benfatto, Giuseppe Benfatto, Vieri Mastropietro +1 · 8 citations
    Physics and Astronomy · #Anomaly (physics) #Cutoff #Fermion #Gauge theory #Ising model #Luttinger liquid #Physics of Superconductivity and Magnetism #Quantum #Quantum field theory #Quantum many-body systems #Renormalization group #Topological Materials and Phenomena #cond-mat.other
46. Exact solution of Ising model on a small-world network
    2004/02/13 by J. Viana Lopes, Yu. G. Pogorelov, J. M. B. Lopes dos Santos +2 · 1 citation
    Mathematics · Physics and Astronomy · #Chain (unit) #Character (mathematics) #Complex Network Analysis Techniques #Computer science #Exact solutions in general relativity #Geometry #Ising model #Materials science #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Range (aeronautics) #Scaling #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #k-nearest neighbors algorithm
47. Ising Models with Four Spin Interaction at Criticality
    2004/01/28 by Vieri Mastropietro · 5 citations
    Mathematics · Physics and Astronomy · #Condensed matter physics #Critical exponent #Critical phenomena #Critical point (mathematics) #Criticality #Ising model #Logarithm #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Phase transition #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Quartic function #Renormalization group #Singularity #Spin (aerodynamics) #Spins #Square-lattice Ising model #Statistical physics #Theoretical and Computational Physics #Thermodynamics
48. Nonequilibrium Critical Dynamics at Surfaces: Cluster Dissolution and Nonalgebraic Correlations
    2003/12/22 by Michel Pleimling, Ferenc Igloi, Ferenc Iglói · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cluster (spacecraft) #Condensed matter physics #Critical point (mathematics) #Exponential decay #Ferromagnetism #Ising model #Non-equilibrium thermodynamics #Observable #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Surface (topology) #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
49. Dynamical obstruction in a constrained system and its realization in lattices of superconducting devices
    2003/10/29 by Claudio Castelnovo, C. Castelnovo, P. Pujol +3 · 5 citations
    Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Classical XY model #Condensed matter physics #Ferromagnetism #Geometry #Hexagonal lattice #Ising model #Lattice (music) #Magnetization #Mechanics #Monte Carlo method #Parameter space #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spins #Statistical physics #Superconductivity #Theoretical and Computational Physics #Thermal fluctuations #Topological defect #Topology (electrical circuits) #Vortex #cond-mat.stat-mech
50. Ising magnets with mobile defects
    2002/08/29 by W. Selke, V. L. Pokrovsky, B. Büchner +3 · 1 citation
    Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Chemistry #Condensed matter physics #Cuprate #Instability #Ising model #Magnet #Material Dynamics and Properties #Materials science #Mathematics #Mechanics #Monte Carlo method #Physics #Quantum mechanics #Robustness (evolution) #Statistical physics #Stochastic processes and statistical mechanics #Superconductivity #Theoretical and Computational Physics #cond-mat
51. Stiffness exponent of two-dimensional Ising spin glasses for nonperiodic boundary conditions using aspect-ratio scaling
    2002/08/28 by Alexander K. Hartmann, Alan J. Bray, Adam Carter +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Aspect ratio (aeronautics) #Boundary (topology) #Boundary value problem #Complex Network Analysis Techniques #Condensed matter physics #Domain (mathematical analysis) #Exponent #Gaussian #Geometry #Ising model #Mathematical analysis #Mathematics #Periodic boundary conditions #Physics #Quantum mechanics #Scaling #Spin (aerodynamics) #Statistical physics #Stiffness #Theoretical and Computational Physics #Thermodynamics #Topological and Geometric Data Analysis #Work (physics) #cond-mat.dis-nn
52. Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model
    2001/05/25 by Julián Candia, Ezequiel V. Albano · 3 citations
    Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Condensed matter physics #Conjecture #Ferromagnetism #Geometry #Ising model #Magnetic field #Magnetization #Mathematics #Monte Carlo method #Order (exchange) #Phase transition #Physics #Quantum mechanics #Scaling #Spherical model #Spins #Square-lattice Ising model #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech
53. Efficient Monte Carlo Algorithm and High-Precision Results for Percolation
    2000/05/31 by M. E. J. Newman, R. M. Ziff, Robert M. Ziff · 7 citations
    Mathematics · Physics and Astronomy · #Algorithm #Computer science #Continuum percolation theory #Directed percolation #Geometry #Hybrid Monte Carlo #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Markov chain Monte Carlo #Mathematics #Monte Carlo algorithm #Monte Carlo method #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Physics #Quantum mechanics #Scaling #Square lattice #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
54. Statistical mechanics, three-dimensionality and NP-completeness
    2000/05/01 by Sorin Istrail · 1 citation
    Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics #Citation #Statistical mechanics #Curse of dimensionality #Computer science #Ising model #Completeness (order theory) #Discrete mathematics #Mathematics #Statistical physics #Artificial intelligence #Library science #Physics
55. A Discrete Convolution Model¶for Phase Transitions
    1999/12/01 by Peter W. Bates, Adam Chmaj · 27 citations
    Mathematics · Medicine · Physics and Astronomy · #Balanced flow #Complex system #Computer science #Convolution (computer science) #Energy (signal processing) #Energy functional #Helmholtz free energy #Ising model #Materials science #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Phase transition #Physics #Quantum mechanics #Range (aeronautics) #Stability (learning theory) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Uniqueness
56. Two-Dimensional Periodic Frustrated Ising Models in a Transverse Field
    1999/10/31 by Roderich Moessner, R. Moessner, S. L. Sondhi +2 · 6 citations
    Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Degeneracy (biology) #Frustration #Hexagonal lattice #Ising model #Lattice (music) #Phase transition #Physics #Quantum #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Theoretical and Computational Physics #Transverse field #cond-mat.stat-mech #cond-mat.str-el #cond-mat.supr-con
57. Cooperative model of bacterial sensing
    1998/11/01 by Yu Shi, Thomas Duke · 1 citation
    Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Mathematics · Neuroscience · Physics and Astronomy · #Biochemistry #Biological system #Biology #Biophysics #Bound state #Chemistry #Chemotaxis #Cluster (spacecraft) #Combinatorics #Computer science #Coupling (piping) #Diffusion and Search Dynamics #Engineering #Ising model #Ligand (biochemistry) #Materials science #Mathematics #Neural dynamics and brain function #Noise (video) #Physics #Quantum mechanics #Receptor #Sensitivity (control systems) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Topology (electrical circuits) #cond-mat #physics.bio-ph #q-bio.MN
58. Thermodynamic properties of Heisenberg ferrimagnetic spin chains: Ferromagnetic-antiferromagnetic crossover
    1997/10/28 by Shoji Yamamoto, Takahiro Fukui · 2 citations
    Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Ferrimagnetism #Ferromagnetism #Heisenberg model #Ising model #Magnetic field #Magnetic susceptibility #Magnetization #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Specific heat #Spin (aerodynamics) #Spins #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
59. Evolutionary prisoner’s dilemma game on a square lattice
    1997/10/10 by György Szabó, Gyorgy Szabo, Csaba Toke +1 · 3 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · Social Sciences · #Combinatorics #Condensed matter physics #Critical exponent #Directed percolation #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Game theory #Ising model #Lattice (music) #Mathematical economics #Mathematics #Opinion Dynamics and Social Influence #Physics #Prisoner's dilemma #Square lattice #Statistical physics #Stochastic game #Temptation #Universality (dynamical systems) #cond-mat.stat-mech
60. Universality and the five-dimensional Ising model
    1997/02/19 by Henk W. J. Blöte, H. W. J Blöte, E Luijten +1 · 1 citation
    Mathematics · Physics and Astronomy · #Extrapolation #Hybrid Monte Carlo #Ising model #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech

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