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We use computer simulations to investigate the extended phase diagram of a supercooled liquid linearly coupled to a quenched reference configuration. An extensive finite-size scaling analysis demonstrates the existence of a random-field…

统计力学 · 物理学 2020-10-29 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

Using a renormalization group method, we calculate 800 high-temperature coefficients of the magnetic susceptibility of the hierarchical Ising model. The conventional quantities obtained from differences of ratios of coefficients show…

高能物理 - 格点 · 物理学 2009-10-28 Y. Meurice , G. Ordaz , V. G. J. Rodgers

We study a multi-matrix model whose low temperature phase is a fuzzy sphere that undergoes an evaporation transition as the temperature is increased. We investigate finite size scaling of the system as the limiting temperature of stability…

高能物理 - 理论 · 物理学 2015-06-17 Denjoe O'Connor , Brian P. Dolan , Martin Vachovski

We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures,…

高能物理 - 格点 · 物理学 2009-10-22 Andrei L. Talapov , Lev N. Shchur

Specific heat and entropy are relevant thermodynamic properties, which may be used as macroscopic probes to microscopic properties of materials under ambient conditions and under high applied fields. However, the measurement of specific…

统计力学 · 物理学 2021-05-25 L. S. Paixão , E. O. Usuda , W. Imamura , A. M. G. Carvalho

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we…

无序系统与神经网络 · 物理学 2013-05-31 Nikolaos G. Fytas , Victor Martin-Mayor

We consider a random surface representation of the three-dimensional Ising model.The model exhibit scaling behaviour and a new critical index $\k$ which relates $\g_{string}$ for the bosonic string to the exponent $\a$ of the specific heat…

高能物理 - 理论 · 物理学 2007-05-23 J. Ambjorn , A Sedrakyan , G. Thorleifsson

We derive high-temperature series expansions for the free energy and susceptibility of the two-dimensional random-bond Ising model with a symmetric bimodal distribution of two positive coupling strengths J_1 and J_2 and study the influence…

凝聚态物理 · 物理学 2015-06-25 Alexandra Roder , Joan Adler , Wolfhard Janke

The isoscaling parameter usually denoted by $\alpha$ depends upon both the symmetry energy coefficient and the isotopic contents of the dissociating systems. We compute $\alpha$ in theoretical models: first in a simple mean field model and…

核理论 · 物理学 2008-11-26 G. Chaudhuri , S. Das Gupta , M. Mocko

We report the details and revised analysis of an experiment to measure the specific heat of helium with subnanokelvin temperature resolution near the lambda point. The measurements were made at the vapor pressure spanning the region from 22…

统计力学 · 物理学 2009-11-10 J. A. Lipa , J. A. Nissen , D. A. Stricker , D. R. Swanson , T. C. P. Chui

We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at…

无序系统与神经网络 · 物理学 2024-01-17 E. Marinari , V. Martin-Mayor , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

We determine accurate values of ordering temperatures and critical exponents for Ising Spin Glass transitions in dimension 4, using a combination of finite size scaling and non-equilibrium scaling techniques. We find that the exponents…

无序系统与神经网络 · 物理学 2009-10-30 L. W. Bernardi , I. A. Campbell

The critical behavior of the random-field Ising model has been a puzzle for a long time. Different theoretical methods predict that the critical exponents of the random-field ferromagnet in D dimensions are the same as in the pure…

无序系统与神经网络 · 物理学 2007-05-23 D. E. Feldman

We study the effects of dilution to the critical properties of site-diluted Ising model in two dimensions using Monte Carlo simulations. Quenched disorder from the dilution is incorporated into the Ising model via random empty sites on the…

统计力学 · 物理学 2023-05-19 Eduardo C. Cuansing

Using the recently obtained exact results for the expectation values of operators in the sine- and sinh-Gordon models [A. B. Zamolodchikov and S. Lukyanov, Nucl. Phys. B{\bf 493}, 571 (1997), V. Fateev, S. Lukyanov, A. B. Zamolodchikov and…

强关联电子 · 物理学 2016-08-31 Emiliano Papa , Alexei M. Tsvelik

Using a renormalized linked-cluster-expansion method, we have extended to order $\beta^{23}$ the high-temperature series for the susceptibility $\chi$ and the second-moment correlation length $\xi$ of the spin-1/2 Ising models on the sc and…

高能物理 - 格点 · 物理学 2016-09-01 P. Butera , M. Comi

We study the scalar one-component two-dimensional (2D) $\phi^4$ model by computer simulations, with local Metropolis moves. The equilibrium exponents of this model are well-established, e.g. for the 2D $\phi^4$ model $\gamma= 1.75$ and…

统计力学 · 物理学 2018-12-20 Wei Zhong , Gerard T. Barkema , Debabrata Panja , Robin C. Ball

We present a simple and efficient approximation scheme which greatly facilitates extension of Wang-Landau sampling (or similar techniques) in large systems for the estimation of critical behavior. The method, presented in an algorithmic…

统计力学 · 物理学 2007-05-23 A. Malakis , A. Peratzakis , N. G. Fytas

The critical behavior of the 1/5-depleted square-lattice Ising model with nearest neighbor ferromagnetic interaction has been investigated by means of both an exact solution and a high-temperature series expansion study of the zero-field…

统计力学 · 物理学 2013-07-01 Simeon Hanks , Trinanjan Datta , Jaan Oitmaa

We present specific heat data on three samples of the dilute Ising magnet $\HoYLF$ with $x = 0.018$, 0.045 and 0.080. Previous measurements of the ac susceptibility of an $x = 0.045$ sample showed the Ho$^{3+}$ moments to remain dynamic…

无序系统与神经网络 · 物理学 2009-11-11 J. A. Quilliam , C. G. A. Mugford , A. Gomez , S. W. Kycia , J. B. Kycia