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We study the dynamics of a mean-field Ising model whose coupling depends on the magnetization via a linear feedback function. A key feature of this linear feedback Ising model (FIM) is the possibility of temperature-induced bistability,…

Statistical Mechanics · Physics 2026-03-31 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky , Sergey A. Vakulenko

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

High Energy Physics - Theory · Physics 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

The microcanonical transfer matrix is used to study the distribution of Yang-Lee zeros of the $Q$-state Potts model in the complex magnetic-field ($x=e^{\beta h}$) plane for the first time. Finite size scaling suggests that at (and below)…

Statistical Mechanics · Physics 2009-10-31 Seung-Yeon Kim , Richard J. Creswick

Order parameter fluctuations for the two dimensional Ising model in the region of the critical temperature are presented. A locus of temperatures T*(L) and of magnetic fields B*(L) are identified, for which the probability density function…

Statistical Mechanics · Physics 2009-11-10 Maxime Clusel , Jean-Yves Fortin , Peter C. W. Holdsworth

The finite lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the spin-1 Ising model on the square lattice. A new formalism is described that…

High Energy Physics - Lattice · Physics 2011-07-19 I. G. Enting , A , J. Guttmann , I. Jensen

We examine the generating function of the time-integrated energy for the one-dimensional Glauber-Ising model. At long times, the generating function takes on a large-deviation form and the associated cumulant generating function has…

Statistical Mechanics · Physics 2013-07-17 James M. Hickey , Christian Flindt , Juan P. Garrahan

We study the zeros of the partition function in the complex temperature plane (Fisher zeros) and in the complex external field plane (Lee-Yang zeros) of a frustrated Ising model with competing nearest-neighbor ($J_1 > 0$) and…

Statistical Mechanics · Physics 2024-10-16 Denis Gessert , Martin Weigel , Wolfhard Janke

Partition function zeros steer the critical behavior of a system. Studying four-flavor lattice QCD at finite temperature and density with the Wilson-clover fermion action and the Iwasaki gauge action using a phase-quenched fermion…

High Energy Physics - Lattice · Physics 2013-11-18 Xiao-Yong Jin , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Akira Ukawa

We describe classical stochastic processes by using dynamical Lee-Yang zeros. The system is in contact with external leads and the time evolution is described by the two-state classical master equation. The cumulant generating function is…

Statistical Mechanics · Physics 2022-02-25 Hiroki Yoshida , Kazutaka Takahashi

We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the…

Disordered Systems and Neural Networks · Physics 2013-02-20 R. A. Baños , J. M. Gil-Narvion , J. Monforte-Garcia , J. J. Ruiz-Lorenzo , D. Yllanes

The canonical partition functions $Z_n$ and the number distributions $P_n$ which are obervable in experiments, are related by a single parameter, the fugacities $\xi=\exp(\mu/T)$. With the charge parity invariance, $Z_n$ and $\xi$ can be…

High Energy Physics - Phenomenology · Physics 2018-01-16 Atsushi Nakamura , Keitaro Nagata

The partition function of the two-dimensional Ising model with zero magnetic field on a square lattice with m x n sites wrapped on a torus is computed within the transfer matrix formalism in an explicit step-by-step approach inspired by…

Statistical Mechanics · Physics 2013-05-29 Boris Kastening

We study numerically, the distribution of the zeros of the grand partition function of $k$-mers on a $k \times L$ strip in the complex activity (z) plane. Using transfer matrix methods, we find that our results match the analytical…

Statistical Mechanics · Physics 2025-04-17 Soumyadeep Sarma

Lee-Yang (LY) zeros, points on the complex plane of physical parameters where the partition function goes to zero, have found diverse applications across multiple disciplines like statistical physics, protein folding, percolation, complex…

Statistical Mechanics · Physics 2024-06-06 Arijit Chatterjee , T S Mahesh , Mounir Nisse , Yen-Kheng Lim

In this letter we will extend the analysis given by Al. Zamolodchikov for the scaling Yang-Lee model on the sphere to the Ising model in a magnetic field. A numerical study of the partition function and of the vacuum expectation values…

High Energy Physics - Theory · Physics 2009-11-10 P. Grinza , N. Magnoli

Dynamical quantum phase transitions reveal singularities in quench dynamics, characterized by the emergence of Loschmidt echo zeros at critical times, which usually exist only in the thermodynamic limit but are absent in finite-size quantum…

Quantum Physics · Physics 2026-01-07 Zhen-Yu Zheng , Xudong Liu , Siyan Lin , Yu Zhang , Shu Chen

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…

Statistical Mechanics · Physics 2009-11-07 Stephan M Dammer , Silvio R Dahmen , Haye Hinrichsen

We compute the exact partition function of the 2D Ising Model at critical temperature but with nonzero magnetic field at the boundary. The model describes a renormalization group flow between the free and fixed conformal boundary conditions…

High Energy Physics - Theory · Physics 2009-10-28 R. Chatterjee

We carry out a numerical and analytic analysis of the Yang-Lee zeros of the 1D Blume-Capel model with periodic boundary conditions and its generalization on Feynman diagrams for which we include sums over all connected and non-connected…

Statistical Mechanics · Physics 2009-11-11 Luis A. F. Almeida , D. Dalmazi

The two-time correlation function for probe spin interacting with spin system (bath) is studied. We show that zeros of this function correspond to zeros of partition function of spin system in complex magnetic field. The obtained relation…

Quantum Physics · Physics 2018-07-19 Kh. P. Gnatenko , A. Kargol , V. M. Tkachuk