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Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model [PDF]
, 2009 The research work discussed in this thesis investigated the application of combinatorics and graph theory in the analysis of the partition function of the Ising Model. Chapter 1 gives a general introduction to the partition function of the Ising Model
Lin, Ming-Shr Matt
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Pushing the limits of Monte Carlo simulations for the three-dimensional Ising model. [PDF]
Physical Review E, 2017 While the three-dimensional Ising model has defied analytic solution, various numerical methods like Monte Carlo, Monte Carlo renormalization group, and series expansion have provided precise information about the phase transition.
A. M. Ferrenberg, Jia-Hao Xu, D. Landau
semanticscholar +1 more source
A CRITICAL ISING MODEL ON THE LABYRINTH [PDF]
International Journal of Modern Physics B, 1994 A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight different coupling constants.
Baake, M., Grimm, U.G., Baxter, R.J.
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Ising models and multiresolution quad-trees [PDF]
, 2003 We study percolation and Ising models defined on generalizations of quad-trees used in multiresolution image analysis. These can be viewed as trees for which each mother vertex has 2(d) daughter vertices, and for which daughter vertices are linked ...
Wilson, Roland, Kendall, W. S.
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Petri Net Modeling for Ising Model Formulation in Quantum Annealing
Applied Sciences, 2021 Quantum annealing is an emerging new platform for combinatorial optimization, requiring an Ising model formulation for optimization problems. The formulation can be an essential obstacle to the permeation of this innovation into broad areas of everyday ...
Morikazu Nakamura +2 more
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Notes on the Ising Model [PDF]
Progress of Theoretical Physics, 1983 Summary: From the introduction: The partition function for the two-dimensional Ising model has been represented by \textit{S. Samuel} in the form of an integral over anticommuting variables [J. Math. Phys. 21, No. 12, 2806--2833 (1980)]. Several authors have justified the representation by connecting it with the underlying fermion field.
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Toward a 3d Ising model with a weakly-coupled string theory dual
SciPost Physics, 2020 It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets.
Nabil Iqbal, John McGreevy
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Quantum approximate optimization of the long-range Ising model with a trapped-ion quantum simulator
Proceedings of the National Academy of Sciences of the United States of America, 2019 Significance Variational quantum algorithms combine quantum resources with classical optimization methods, providing a promising approach to solve both quantum many-body and classical optimization problems.
G. Pagano +15 more
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Quantum annealing in the transverse Ising model [PDF]
, 1998 We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal fluctuations ...
T. Kadowaki, H. Nishimori
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Eigenstate thermalization in the two-dimensional transverse field Ising model. II. Off-diagonal matrix elements of observables. [PDF]
Physical Review E, 2017 We study the matrix elements of few-body observables, focusing on the off-diagonal ones, in the eigenstates of the two-dimensional transverse field Ising model.
R. Mondaini, M. Rigol
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