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We study a phase transition in a non-equilibrium model first introduced in [5], using the Yang-Lee description of equilibrium phase transitions in terms of both canonical and grand canonical partition function zeros. The model consists of…

统计力学 · 物理学 2007-05-23 Farhad H Jafarpour

Lee-Yang zeros are points in the complex plane of an external control parameter at which the partition function vanishes for a many-body system of finite size. In the thermodynamic limit, the Lee-Yang zeros approach the critical value on…

介观与纳米尺度物理 · 物理学 2019-09-06 Aydin Deger , Christian Flindt

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

We apply the Yang-Lee theory of phase transitions to an urn model of separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity $z$. Numerical…

统计力学 · 物理学 2009-11-10 Ioana Bena , Francois Coppex , Michel Droz , Adam Lipowski

The diluted Ising antiferromagnet, Fe_{0.31}Zn_{0.69}F_{2}, has been investigated by dynamic susceptibility measurements in zero and and finite applied dc-fields. In zero field, there is a para- to antiferromagnetic phase transition at…

凝聚态物理 · 物理学 2007-05-23 K. Jonason , P. Nordblad , F. C. Montenegro

The earlier times of evolution of a magnetic system contain more information than we can imagine. Capturing correlation matrices G of different time evolutions of a simple testbed spin system, as the Ising model, we analyzed the density of…

统计力学 · 物理学 2022-06-03 Roberto da Silva

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

量子物理 · 物理学 2025-01-31 Hongchao Li

Using Monte Carlo simulations and finite-size scaling, we investigate the XY antiferromagnet on the triangular, Union Jack and bisected-hexagonal lattices, and in each case find both Ising and Kosterlitz-Thouless transitions. As is…

强关联电子 · 物理学 2013-02-25 Jian-Ping Lv , Timothy M. Garoni , Youjin Deng

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is doubled when the linear size of the area is extended by a…

统计力学 · 物理学 2016-02-02 Jozef Genzor , Andrej Gendiar , Tomotoshi Nishino

To understand the distribution of the Yang-Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the two-dimensional Yang-Lee model. The grand-canonical partition function of this quantum field…

统计力学 · 物理学 2018-04-12 Giuseppe Mussardo , Riccarda Bonsignori , Andrea Trombettoni

We investigate the one-dimensional long-range random-field Ising magnet with Gaussian distribution of the random fields. In this model, a ferromagnetic bond between two spins is placed with a probability $p \sim r^{-1-\sigma}$, where $r$ is…

无序系统与神经网络 · 物理学 2014-11-20 Timo Dewenter , Alexander K. Hartmann

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, instead we consider the zeros of a steady-state normalization…

统计力学 · 物理学 2009-11-07 R. A. Blythe , M. R. Evans

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

统计力学 · 物理学 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

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

A spin-1/2, Ising trilayered ferrimagnetic system on square Bravais lattice is studied, employing Monte-Carlo simulation with the single spin-flip Metropolis algorithm. The bulk of such a system is formed by three layers, each of which is…

统计力学 · 物理学 2021-01-13 Soham Chandra

We present an efficient Monte Carlo algorithm for determining the density of states which is based on the statistics of transition probabilities between states. By measuring the infinite temperature transition probabilities--that is, the…

软凝聚态物质 · 物理学 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos

Phase transitions are ubiquitous phenomena, exemplified by the melting of ice and spontaneous magnetization of magnetic material. In general, a phase transition is associated with a symmetry breaking of a system; occurs due to the…

统计力学 · 物理学 2015-12-25 Tasrief Surungan , Yukihiro Komura , Yutaka Okabe

Equilibrium systems which exhibit a phase transition can be studied by investigating the complex zeros of the partition function. This method, pioneered by Yang and Lee, has been widely used in equilibrium statistical physics. We show that…

统计力学 · 物理学 2009-11-07 Stephan M Dammer , Silvio R Dahmen , Haye Hinrichsen

The influence of random interlayer exchange on the phase states of the simplest magnetic heterostructure consisting of two ferromagnetic Ising layers with large interaction radius is studied. It is shown that such system can exist in three…

材料科学 · 物理学 2013-05-29 P. N. Timonin , V. B. Shirokov

We calculate the Yang-Lee zeros for characteristic temperatures of the helix-coil transition in a continuum model of polyalanine. The distribution of these zeros differs from predictions of the Zimm-Bragg theory and supports recent claims…

统计力学 · 物理学 2009-10-31 Nelson A. Alves , Ulrich H. E. Hansmann