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相关论文: Density of Yang-Lee zeros for the Ising ferromagne…

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The distribution of Yang-Lee zeros in the ferromagnetic Ising model in both two and three dimensions is studied on the complex field plane directly in the thermodynamic limit via the tensor network methods. The partition function is…

强关联电子 · 物理学 2015-10-28 Artur Garcia-Saez , Tzu-Chieh Wei

Using both the exact enumeration method (microcanonical transfer matrix) for a small system (L = 9) and the Wang-Landau Monte Carlo algorithm for large systems to L = 30, we obtain the exact and approximate densities of states g(M,E), as a…

统计力学 · 物理学 2015-05-14 Chi-Ok Hwang , Seung-Yeon Kim

The scaling behaviour of the edge of the Lee--Yang zeroes in the four dimensional Ising model is analyzed. This model is believed to belong to the same universality class as the $\phi^4_4$ model which plays a central role in relativistic…

高能物理 - 格点 · 物理学 2011-07-19 R. Kenna , C. B. Lang

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are…

统计力学 · 物理学 2020-11-13 Aydin Deger , Fredrik Brange , Christian Flindt

In order to provide an experimental access to the statistical theory of Lee and Yang (1952) the density function g(theta) of zeros on the Lee-Yang circle has been determined for the first time by analyzing isothermal magnetization data,…

统计力学 · 物理学 2009-10-31 Ch. Binek

We revisit the somewhat less studied problem of Yang-Lee zeros of the Ising antiferromagnet. For this purpose, we study two models, the nearest-neighbor model on a square lattice, and the more tractable mean-field model corresponding to…

统计力学 · 物理学 2025-06-23 Muhammad Sedik , Junaid Majeed Bhat , Abhishek Dhar , B Sriram Shastry

We study Yang-Lee zeros in the thermodynamic limit of the 2D nearest-neighbor antiferromagnetic Ising model on square and triangular lattices. We employ the Numerical Linked Cluster Expansion (NLCE) equipped with Exact Enumeration (EE) of…

统计力学 · 物理学 2025-09-11 Mahmoud Abdelshafy , Muhammad Sedik

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature…

高能物理 - 唯象学 · 物理学 2026-05-20 Tatsuya Wada , Győző Kovács , Masakiyo Kitazawa , Takahiro M. Doi

The distributions of the Yang-Lee zeros of the ferromagnetic and antiferromagnetic Q-state Potts models in one dimension are studied for arbitrary Q and temperature. The Yang-Lee zeros of the Potts antiferromagnet have been fully…

统计力学 · 物理学 2015-06-24 Seung-Yeon Kim

We report on a new method to extract thermodynamic properties from the density of partition function zeroes on finite lattices. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it…

高能物理 - 格点 · 物理学 2015-06-25 Wolfhard Janke , Ralph Kenna

We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions,…

高能物理 - 格点 · 物理学 2019-04-24 M. Wakayama , V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , A. Nakamura , V. I. Zakharov

The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems.…

介观与纳米尺度物理 · 物理学 2018-01-17 Aydin Deger , Kay Brandner , Christian Flindt

The Yang-Lee zeros of the Q-state Potts model on recursive lattices are studied for non-integer values of Q. Considering 1D lattice as a Bethe lattice with coordination number equal to two, the location of Yang-Lee zeros of 1D ferromagnetic…

统计力学 · 物理学 2009-11-07 R. G. Ghulghazaryan , N. S. Ananikian , P. M. A. Sloot

We study the diluted Ising ferromagnet on the Bethe lattice as a case study for the application of the cavity method to problems with Griffiths-McCoy singularities. Specifically, we are able to make much progress at infinite coupling where…

统计力学 · 物理学 2008-07-12 C. Laumann , A. Scardicchio , S. L. Sondhi

Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a…

统计力学 · 物理学 2025-01-28 Zdzislaw Burda , Desmond A. Johnston , Mario Kieburg

The critical properties of an infinitely long Ising strip with finite width L joined periodically or antiperiodically are investigated by analyzing the distribution of partition function zeros. For periodic boundary condition, the the…

统计力学 · 物理学 2007-05-23 Ming-Chang Huang , Tsong-Ming Liaw , Yu-Pin Luo , Simon C. Lin

We show that, at the critical temperature, there is a class of Lee-Yang zeros of the partition function in a general scalar field theory, which location scales with the size of the system with a characteristic exponent expressed in terms of…

高能物理 - 理论 · 物理学 2017-06-07 N. G. Antoniou , F. K. Diakonos , X. N. Maintas , C. E. Tsagkarakis

We investigate the location of zeros for the partition function of the anti-ferromagnetic Ising Model, focusing on the zeros lying on the unit circle. We give a precise characterization for the class of rooted Cayley trees, showing that the…

动力系统 · 数学 2021-07-01 Ferenc Bencs , Pjotr Buys , Lorenzo Guerini , Han Peters

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at…

统计力学 · 物理学 2015-05-14 Tomasz Wydro , John F. McCabe

This paper studies the Yang-Lee singularity of the 2-dimensional Ising model on the cylinder via transfer matrix and finite-size scaling techniques. These techniques enable a measurement of the 2-point and 3-point correlations and a…

统计力学 · 物理学 2009-11-13 Tomasz Wydro , John F. McCabe
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