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Showing 1 to 20 of 98 for “"Ising model"”.
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Monte Carlo studies of the fcc Ising model
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-07T16:15:31Z No. of bitstreams: 1 1984_polgreen.pdf: 1524951 bytes, checksum: a91ada7a8f9fc84215c998e89a3ce6a9 (MD5)
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Memory features in the random bond ising model
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-12-01
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Transport coefficients from computer experiments: A stochastic Ising model
Submitted by William Weathers (weathrs2@illinois.edu) on 2012-04-11T19:57:56Z No. of bitstreams: 1 1971_sadiq.pdf: 4264941 bytes, checksum: 791b46b8f2b21028fb8864d92f010ae5 (MD5)
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Energy density correlations in the three-dimensional Ising model
… function is studied in the three-dimensional Ising model in zero external field, for various spins on the fcc lattice. An extension of the linked-cluster technique is used to obtain high-temperature series expansions for the correlation function and its associated functions, to at least eighth …
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On the partition function for the three-dimensional Ising model
… the critical behaviour of lattice spin models such as the three-dimensional Ising model in the thermodynamic limit. The exact partition functions (typically summed over the order of 1075 states) for finite simple cubic Ising lattices are computed using a transfer matrix approach. Q-state …
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… magnetic field analytic continuation of the 2D Ising model near the Yang-Lee singularity. The exact location of the singularity is not known precisely, and one of the results produced is an improved quality estimate of its location $\xi_0 \approx i0.1893506$. Another primary result is the …
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Corner Transfer Matrix approach to the Yang-Lee Singularity in the 2D Ising Model
… magnetic field analytic continuation of the 2D Ising model near the Yang-Lee singularity. The exact location of the singularity is not known precisely, and one of the results produced is an improved quality estimate of its location $\xi_0 \approx i0.1893506$. Another primary result is the …
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Calculation of interface tension and stiffness in a two dimensional Ising Model by Monte Carlo simulation
The two dimensional Ising Model is important because it describes various condensed matter systems. At low temperatures, spontaneous symmetry breaking occurs such that two coexisting phases are separated by interfaces. These interfaces can be described as vibrating strings and are characterized by …
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Specific heat of the order-disorder transition in beta-brass and its relation to the Ising Model
… relations. The similarity between Cv and various Ising model calculations was found to be quite remarkable. Thus, the possible presence of relatively long-range pairwise interactions has no appreciable effect on the critical behavior of beta-brass's specific heat. The Cv results provide no …
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Study of the three dimensional random field Ising model : magnetic X-ray and neutron scattering, magnetization, and heat capacity
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1996.
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Graphical representations of Ising and Potts models: stochastic geometry of the quantum Ising model and the space-time Potts model
… as external conditions are varied. Two models in particular are of great interest to mathematicians, namely the Ising model of a magnet and the percolation model of a porous solid. These models in turn are part of the unifying framework of the random-cluster representation, a model for …
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Topics in Lattice Statistics: I. Systematics of Multilayer Adsorption Phenomena on Attractive Substrates. Ii. Dynamical Critical Exponents for the Kinetic Ising Model: A Finite-Size Hamiltonian Calculation
… Chapter II, is devoted to the study of kinetic Ising models, using finite-size Hamiltonian methods.
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Topics in Lattice Statistics: I. Systematics of Multilayer Adsorption Phenomena on Attractive Substrates II. Dynamical Critical Exponents for the Kinetic Ising Model: A Finite-Size Hamiltonian Calculation
Submitted by Carolyn Rauber (crauber2@illinois.edu) on 2011-06-02T17:26:09Z No. of bitstreams: 1 1982_pandit.pdf: 5769733 bytes, checksum: 3cf1cd189904f2a0b5ccbc3238ccdebc (MD5)
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Studies in random Ising spin systems
We give a brief survey of Ising spin systems in the presence of random bonds or random fields. Specific calculations are done on the twodimensional short-ranged random-bond model and the three-dimensional random-field model. The phenomenological renormalization group and the transfer-matrix method …
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A Dynamical Approach to the Potts Model on Cayley Tree
The Ising model is one of the most important theoretical models in statistical physics, which was originally developed to describe ferromagnetism. A system of magnetic particles, for example, can be modeled as a linear chain in one dimension or a lattice in two dimensions, with one particle at each …
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The role of heterogeneity in long-range interacting systems : from nucleation to earthquake fault systems
… The first will be the heterogeneous Ising model with long-range interactions. Earthquake fault systems under long-range stress transfer with varying types of heterogeneity will be the second system of interest. First I will review the use of the intervention method to determine the …
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Aspects of the Ising and tricritical Ising models
… thesis is concerned with several aspects of the Ising and tri-critical Ising models in two-dimensions. These are much-studied models relevant in both condensed matter physics as descriptions of the critical phenomena of two- dimensional systems and in String theory as building blocks of the …
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Testing properties of Ising models
… ubiquity of Markov Random Fields (MRFs) in the modeling of high-dimensional distributions, we study distribution testing on structured multivariate distributions, and in particular the prototypical example of MRFs: the Ising Model. We demonstrate that, in this structured setting, we can avoid …
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Provable Algorithms for Learning and Variational Inference in Undirected Graphical Models
Graphical models are a general-purpose tool for modeling complex distributions in a way which facilitates probabilistic reasoning, with numerous applications across machine learning and the sciences. This thesis deals with algorithmic and statistical problems of learning a high-dimensional …
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