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Inference: International Review of Science, 2018
In the last 75 years, physicists have solved the 2D Ising model of ferromagnetism in numerous ways. The solutions may be combinatorial, algebraic, or analytic—but all come to the same result.
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In the last 75 years, physicists have solved the 2D Ising model of ferromagnetism in numerous ways. The solutions may be combinatorial, algebraic, or analytic—but all come to the same result.
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Advances in Applied Probability, 1978
Ising lattices model spatial interaction among binary variables, and consequently, are relevant to many scientific disciplines. They are intuitively appealing models because their conditional distributions are given locally (they are Markov fields). On the other hand, their marginal distributions (even for pairs of sites, let alone triples, etc.) are ...
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Ising lattices model spatial interaction among binary variables, and consequently, are relevant to many scientific disciplines. They are intuitively appealing models because their conditional distributions are given locally (they are Markov fields). On the other hand, their marginal distributions (even for pairs of sites, let alone triples, etc.) are ...
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1985
In this prototype theory of ferromagnetism—and of many other physical phenomena as well—a spin Si =±1 is assigned to each of N sites on a fixed lattice. The spins, which live on the vertices of the lattice, interact with one another by means of bonds (the links of the lattice). These have strengths Jij in energy units.
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In this prototype theory of ferromagnetism—and of many other physical phenomena as well—a spin Si =±1 is assigned to each of N sites on a fixed lattice. The spins, which live on the vertices of the lattice, interact with one another by means of bonds (the links of the lattice). These have strengths Jij in energy units.
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, 1985 Stochastic Ising models can be thought of loosely as reversible spin systems with strictly positive rates. (For a more precise version of this statement, see Theorem 2.13.) The measures with respect to which they are reversible are the Gibbs states of classical statistical mechanics.
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2001
Most of the experiments in the neighborhood of critical points indicate that critical exponents assume the same universal values, far from the predictions of the “classical theories” (as represented by Landau’s phenomenology, for example). We now recognize that the universal values of the critical exponents depend on a just few ingredients: (i ...
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Most of the experiments in the neighborhood of critical points indicate that critical exponents assume the same universal values, far from the predictions of the “classical theories” (as represented by Landau’s phenomenology, for example). We now recognize that the universal values of the critical exponents depend on a just few ingredients: (i ...
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2015
In the previous chapter, we have discussed the formalism of statistical physics. A big help for us was the Ising model which provided the very intuitive understanding for all the concepts considered.
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In the previous chapter, we have discussed the formalism of statistical physics. A big help for us was the Ising model which provided the very intuitive understanding for all the concepts considered.
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2015
Cooperative phenomena are introduced via the simple Ising model in which spins having two states occupy a lattice and interact with nearest neighbors and an applied magnetic field. We study this model in the mean field approximation. Correlations among spin states are neglected, so each spin interacts with a self-consistent mean field.
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Cooperative phenomena are introduced via the simple Ising model in which spins having two states occupy a lattice and interact with nearest neighbors and an applied magnetic field. We study this model in the mean field approximation. Correlations among spin states are neglected, so each spin interacts with a self-consistent mean field.
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Dimensional expansions for the Ising model
Physical Review Letters, 1992Summary: A Comment on the letter by \textit{C. M. Bender} et al. [Phys. Rev. Lett. 68, 3674 (1992)].
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Metastability and the Ising model
1998In the past years, one of the most important progress on the study of random fields and infinite particle systems is the understanding about the metastability of Ising model, in particular its Wulff construction. The author reports in this article mainly on two papers: The author's one [Commun. Math. Phys. 161, No.
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Antibody–drug conjugates: Smart chemotherapy delivery across tumor histologies
Ca-A Cancer Journal for Clinicians, 2022Paolo Tarantino +2 more
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