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The new algorithm of the finite lattice method is applied to generate the high-temperature expansion series of the simple cubic Ising model to $\beta^{50}$ for the free energy, to $\beta^{32}$ for the magnetic susceptibility and to…

高能物理 - 格点 · 物理学 2009-11-10 H. Arisue , T. Fujiwara , K. Tabata

We investigate the statistics of the mean magnetisation, of its large deviations and persistent large deviations in simple coarsening systems. We consider more specifically the case of the diffusion equation, of the Ising chain at zero…

统计力学 · 物理学 2009-10-30 I Dornic , C Godreche

In this work the two-dimensional Ising model with nearest- and next-nearest-neighbor interactions is revisited. We obtain the dynamic critical exponents $z$ and $\theta$ from short-time Monte Carlo simulations. The dynamic critical exponent…

统计力学 · 物理学 2012-08-27 N. Alves, , J. R. Drugowich de Felicio

A new finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature of anisotropic two-layer Ising ferromagnet, on strips of r wide sites of square lattices. The reduced internal energy…

统计力学 · 物理学 2007-05-23 M. Ghaemi , M. Ghannadi , B. Mirza

The ground state magnetization curve around the critical magnetic field $H_c$ of quantum spin chains with the spin gap is investigated. We propose a size scaling method to estimate the critical exponent $\delta$ defined as $m\sim…

统计力学 · 物理学 2016-08-31 Toru Sakai , Minoru Takahashi

We explore short-distance static correlation functions in the infinite XXZ chain using previously derived formulae which represent the correlation functions in factorized form. We compute two-point functions ranging over 2, 3 and 4 lattice…

强关联电子 · 物理学 2017-08-16 Christian Trippe , Frank Göhmann , Andreas Klümper

We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying…

无序系统与神经网络 · 物理学 2015-05-28 Björn Ahrens , Alexander K. Hartmann

We calculate the new dinamic exponent $\theta $ of the 4-state Potts model, using short-time simulations. Our estimates $\theta_{1}=-0.0471(33)$ and $% \theta_{2}=$ $-0.0429(11)$ obtained by following the behavior of the magnetization or…

统计力学 · 物理学 2009-11-10 Roberto da Silva , J. R. Drugowich de Felicio

We study the local magnetization in the 2-D Ising model at its critical temperature on a semi-infinite cylinder geometry, and with a nonzero magnetic field $h$ applied at the circular boundary of circumference $\beta$. This model is…

统计力学 · 物理学 2015-06-04 Eran Sela , Andrew K. Mitchell

We present Monte Carlo simulation results for the dynamical critical exponent $z$ of the two-dimensional kinetic Ising model using a lattice of size $10^6 \times 10^6$ spins. We used Glauber as well as Metropolis dynamics. The $z$-value of…

凝聚态物理 · 物理学 2015-06-25 A. Linke , D. W. Heermann , P. Altevogt , M. Siegert

Probability distributions of the magnetic work are computed for the 2D Ising model by means of Monte Carlo simulations. The system is first prepared at equilibrium for three temperatures below, at and above the critical point. A magnetic…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Dragi Karevski

The critical behavior of dc magnetization in the uranium ferromagnet URhAl with the hexagonal ZrNiAl-type crystal structure has been studied around the ferromagnetic transition temperature T_C. The critical exponent beta for the temperature…

强关联电子 · 物理学 2018-04-04 Naoyuki Tateiwa , Jiri Pospisil , Yoshinori Haga , Etsuji Yamamoto

In this work we have calculated the dynamic critical exponent $z$ for 2-, 3- and 4-dimensional Ising models using the Wolff's algorithm through dynamic finite size scaling. We have studied time evolution of the average cluster size, the…

统计力学 · 物理学 2007-05-23 Mehmet Dílaver , Semra Gündüç , Meral Aydın , Yiğit Gündüç

In the recent study of the Ising model on a small-world network by A. P\c{e}kalski [Phys. Rev. E {\bf 64}, 057104 (2001)], a surprisingly small value of the critical exponent $\beta \approx 0.0001$ has been obtained for the temperature…

统计力学 · 物理学 2009-11-07 H. Hong , Beom Jun Kim , M. Y. Choi

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

We perform intensive numerical simulations of the three-dimensional site-diluted Ising antiferromagnet in a magnetic field at high values of the external applied field. Even if data for small lattice sizes are compatible with second-order…

无序系统与神经网络 · 物理学 2009-11-13 A. Maiorano , V. Martín-Mayor , J. J. Ruiz-Lorenzo , A. Tarancón

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behaviour of 2- and 3-dimensional…

凝聚态物理 · 物理学 2008-11-26 Mehmet Dilaver , Semra Gündüç , Meral Aydın , Yiğit Gündüç

We study an improved three-dimensional Ising model with external magnetic field near the critical point by Monte Carlo simulations. From our data we determine numerically the universal scaling functions of the magnetization, that is the…

统计力学 · 物理学 2010-04-05 J. Engels , L. Fromme , M. Seniuch

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

高能物理 - 格点 · 物理学 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger , A. P. Young