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We study the Ising model with an external magnetic field on random tetravalent planar maps and investigate its critical behavior. Explicit expressions for spontaneous magnetization and the susceptibility are computed and the critical…

概率论 · 数学 2025-11-07 Nicolas Tokka

Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

统计力学 · 物理学 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

统计力学 · 物理学 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

We report the specific heat $c_N$ around the melting transition(s) of micrometer-sized superparamagnetic particles confined in two dimensions, calculated from fluctuations of positions and internal energy, and corresponding Monte Carlo…

软凝聚态物质 · 物理学 2015-06-18 Sven Deutschländer , Antonio M. Puertas , Georg Maret , Peter Keim

We present a calculation of critical phenomena directly in continuous dimension d employing an exact renormalization group equation for the effective average action. For an Ising-type scalar field theory we calculate the critical exponents…

高能物理 - 理论 · 物理学 2009-11-10 H. Ballhausen , J. Berges , C. Wetterich

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

凝聚态物理 · 物理学 2009-10-28 M. E. J. Newman , G. T. Barkema

The four dimensional Gaussian random field Ising magnet is investigated numerically at zero temperature, using samples up to size $64^4$, to test scaling theories and to investigate the nature of domain walls and the thermodynamic limit. As…

无序系统与神经网络 · 物理学 2007-05-23 A. Alan Middleton

It has been suggested that an information geometric view of statistical mechanics in which a metric is introduced onto the space of parameters provides an interesting alternative characterisation of the phase structure, particularly in the…

统计力学 · 物理学 2009-11-07 W. Janke , D. A. Johnston , Ranasinghe P. K. C. Malmini

We simulate the improved three-dimensional two-component phi^4 model on the simple cubic lattice in the low and the high temperature phase for reduced temperatures down to |T-T_c|/T_c \approx 0.0017 on lattices of a size up to 350^3. Our…

统计力学 · 物理学 2011-02-16 Martin Hasenbusch

The critical behavior of the classical Ising model on a three-dimensional fractal lattice with Hausdorff dimension $d_H = \ln32 / \ln4 = 2.5$ is investigated using the higher-order tensor renormalization group (HOTRG) method. We determine…

统计力学 · 物理学 2025-06-27 Jozef Genzor , Roman Krčmár , Hiroshi Ueda , Denis Kochan , Andrej Gendiar , Tomotoshi Nishino

In this work we performed numerical simulations for the Ising model on three dimensional lattices with coordination number equal 5. With Monte Carlo simulations in the static case we evaluated the critical temperature and the static…

统计力学 · 物理学 2024-06-28 Lourdes Bibiana Merino-Solís , Francisco Sastre

We study the critical behavior of the ferromagnetic Ising model on random trees as well as so-called locally tree-like random graphs. We pay special attention to trees and graphs with a power-law offspring or degree distribution whose tail…

概率论 · 数学 2012-11-14 Sander Dommers , Cristian Giardinà , Remco van der Hofstad

We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

无序系统与神经网络 · 物理学 2014-03-21 Marco Picco , Nicolas Sourlas

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

统计力学 · 物理学 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

In this brief report, we attention to the system of two qubits modeled by Heisenberg XXZ chain with the Dzyaloshinskii Moriya interaction. The system exposed to bosonic baths with the Cauchy Lorentz distribution of frequency. We've got a…

量子物理 · 物理学 2017-04-19 Behzad Lari

We report low-temperature specific heat, $C(T)$, measurements on (Yb$_{1-x}$Lu$_x$)$_4$As$_3$ with $x=0.01$ and $x=0.03$, where nonmagnetic Lu atoms are randomly distributed on antiferromagnetic $S=1/2$ Heisenberg chains with $J/k_{\mathrm…

强关联电子 · 物理学 2013-12-30 R. Matysiak , P. Gegenwart , A. Ochiai , M. Antkowiak , G. Kamieniarz , F. Steglich

We analyze the scaling parameter, extracted from the fidelity for two different ground states, for the one-dimensional quantum Ising model in a transverse field near the critical point. It is found that, in the thermodynamic limit, the…

统计力学 · 物理学 2009-11-13 Huan-Qiang Zhou , Jian-Hui Zhao , Bo Li

We perform a rigorous computation of the specific heat of the Ashkin-Teller model in the case of small interaction and we explain how the universality-nonuniversality crossover is realized when the isotropic limit is reached. We prove that,…

统计力学 · 物理学 2012-09-19 A. Giuliani , V. Mastropietro

We have studied the one dimensional Dyson hierarchical model in presence of a random field. This is a long range model where the interactions scale with the distance with a power law-like form J(r) ~ r^{-\rho} and we can explore mean field…

无序系统与神经网络 · 物理学 2014-07-23 Giorgio Parisi , Jacopo Rocchi

We study the percolation properties of geometrical clusters defined in the overlap space of two statistically independent replicas of a square-lattice Ising model that are simulated at the same temperature. In particular, we consider two…

统计力学 · 物理学 2024-02-23 Michail Akritidis , Nikolaos G. Fytas , Martin Weigel
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