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- Studies of potts model critical exponents
Title: Critical Exponents of the Four-State Potts Model - arXiv.org
WEBJan 6, 1997 · Condensed Matter > Statistical Mechanics. The critical exponents of the four-state Potts model are directly derived from the exact expressions for the latent heat, the spontaneous magnetization, and the correlation length at …
- Author: Richard J. Creswick, Seung-Yeon Kim
- Publish Year: 1997
See results only from arxiv.orgExact Solution of The Maste…
View PDF Abstract: Using the Bethe ansatz, we obtain the exact solution of the …
Critical Exponents of The Fo…
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The q-state Potts model [1,2] is a generalization of the Ising model that is …
Potts model
Unconventional low temperature features in the one-dimensional frustrated q-state …
Critical exponents of the three-state potts model - ScienceDirect
WEBSep 15, 1980 · Abstract. The Fernandez-Pacheco duality invariant renormalization group is applied to the hamiltonian version of the two-dimensional three-state Potts model. The fixed point is located at exactly the self-dual critical point K∗ = 1. The thermal exponent is calculated to be yT =1.1814.
- Author: Bambi Hu, Bambi Hu
- Publish Year: 1980
Thermal critical exponents of the q -state Potts model
WEBMar 3, 2017 · The exact results for the critical exponents of the q-state Potts model and the tricritical q-state Potts model, among other models, played an important role in the remarkable and profound discovery of the conformal classification of critical two-dimensional lattice models which followed in the years soon after.
- Author: Murray T Batchelor
- Estimated Reading Time: 4 mins
- Publish Year: 2017
WEBApr 27, 2021 · Unconventional low temperature features in the one-dimensional frustrated q-state Potts model. Here we consider a one-dimensional q-state Potts model with an external magnetic eld and an anisotropic interaction that selects neighboring sites that are in the spin state 1.
WEBThis algebra is known to describe the tri-critical Potts model. The 4-pt correlation functions of critical fields are de-veloped in the bootstrap approach, and in the other hand, they are written in term of integral representation of the conformal blocks.
Critical dynamics of the Potts model: short-time Monte Carlo ...
WEBDec 6, 2004 · 1. Introduction. Several results about critical phenomena have been recently obtained using Monte Carlo simulations in short-time regime [1]. Such simulations are more convenient than traditional ones done in the equilibrium regime because they circumvent a known problem in computational physics: the critical slowing down phenomena.
Critical exponents of the four-state Potts model - IOPscience
WEBDec 21, 1997 · The critical exponents of the four-state Potts model are derived directly from the exact expressions for the latent heat, the spontaneous magnetization and the correlation length at the transition temperature of the model in the limit . Export citation and abstract BibTeX RIS. Previous article in issue. Next article in issue. References.
Critical exponents and marginality of the four-state Potts model: …
WEBThe thermal critical exponent of the four-state Potts model in two dimensions is evaluated as ν − 1 = 1.49 ± 0.01, using the Monte Carlo renormalization-group method. The presence of a marginal scaling direction is also indicated.
WEBCritical exponents of the two-dimensional, q-state Potts model are calculated by means of finite size scaling and transfer matrix techniques for continuous q. Results for the temperature exponent agree accurately with the conjecture of den Nijs. The magnetic exponent is found to behave in accordance with the conjecture of Nienhuis et al. .
Phys. Rev. B 103, 174207 (2021) - Numerical evidence of ...
WEBMay 21, 2021 · The random $q$-state quantum Potts model is studied on hypercubic lattices in dimensions 2 and 3 using the numerical implementation of the strong disorder renormalization group introduced by Kovacs and Igl\'oi [Phys. Rev. B 82, 054437 (2010)].
The critical behavior of the two-dimensional three-state Potts …
WEBMar 1, 2019 · Calculated static critical exponents of 2D disordered Potts model. Detected the independence of critical exponent relations for β / ν and γ / ν . Shown the weak universality of the critical behavior of 2D disordered Potts model.
Critical exponents of the four-state Potts model - Semantic Scholar
WEBCritical exponents of the four-state Potts model. Bambi Hu. Published 1 September 1980. Physics. Journal of Physics A. The two-dimensional four-state Potts model at finite temperature can be transformed, via the transfer matrix, into a one-dimensional quantum mechanical model at zero temperature.
WEBApr 6, 2020 · critical exponents of the two-dimensional -state Potts model. The enduring influence of q this paper is a measure of the importance of the Potts model and the value of exact results.
Extended scaling relations for the magnetic critical exponents of …
WEBThe extended scaling relations for the leading and next-to-leading magnetic critical exponents of the two-dimensional Potts model are derived from the spin-spin correlation function in the Coulomb-gas representation.
Critical exponents for the four-state Potts model - Semantic Scholar
WEBCritical exponents of the four-state Potts model. Bambi Hu. Physics. 1980. The two-dimensional four-state Potts model at finite temperature can be transformed, via the transfer matrix, into a one-dimensional quantum mechanical model at zero temperature. The duality… Expand. 12.
[2210.09091] Upper critical dimension of the 3-state Potts model
WEBOct 17, 2022 · We consider the 3-state Potts model in d ≥ 2 dimensions. For d less than the upper critical dimension dcrit, the model has a critical and a tricritical fixed point. In d = 2, these fixed points are described by minimal models, and so are exactly solvable.
Critical exponents of the three-state potts model - ScienceDirect
WEBSep 15, 1980 · A generalized three-state Potts model is proposed, the decimation renormalization-group method (DRG) is applied to the hamiltonian version of this three-state generalized Potts model, and T>0 thermal properties have been calculated.
Critical exponents of domain walls in the two-dimensional Potts …
WEBNov 11, 2010 · Article information. Abstract. We address the geometrical critical behavior of the two-dimensional Q -state Potts model in terms of the spin clusters (i.e. connected domains where the spin takes a constant value). These clusters are different from the usual Fortuin–Kasteleyn clusters, and are separated by domain walls that can cross and branch.
WEBThe Potts model [1, 2] is an extension of the celebrated Ising model and plays an important role in the theory of phase transition and critical phenomena. It also has broad applications in various elds like condensed-matter physics [2].
WEBJan 2, 2023 · The q-state Potts model, whose Hamiltonian is invariant under the permutations of the q states, is a well-known example of this principle. In two dimensions, the classical Potts model undergoes a second-order phase transition when. q 4 with critical exponents depending on the number of states ≤ q2.
Universality class - Wikipedia
WEBList of critical exponents. Critical exponents are defined in terms of the variation of certain physical properties of the system near its phase transition point. These physical properties will include its reduced temperature , its order parameter measuring how much of the system is in the "ordered" phase, the specific heat, and so on.
[hep-th/9210002] Critical Exponents of the Chiral Potts Model …
WEBOct 1, 1992 · Critical Exponents of the Chiral Potts Model from Conformal Field Theory. John L. Cardy. The $Z_N$-invariant chiral Potts model is considered as a perturbation of a $Z_N$ conformal field theory.
WEBMay 17, 2020 · Critical exponents of the two-dimensional, q-state Potts model are calculated by means of finite size scaling and transfer matrix techniques for continuous q. Results for the temperature exponent agree accurately with the conjecture of den Nijs. The magnetic exponent is found to behave in accordance with the conjecture of Nienhuis et al.
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