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Lee-Yang phase transition theory is a milestone in statistical physics. Its applications in realistic systems, however, had been substantially hindered by availability of practical schemes to calculate the Lee-Yang zeros. In this…

Statistical Mechanics · Physics 2025-09-17 Ling Liu , Yihua Dong , Qijun Ye , Xin-Zheng Li

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,…

High Energy Physics - Lattice · Physics 2019-04-24 M. Wakayama , V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , A. Nakamura , V. I. Zakharov

A coagulation-decoagulation model is introduced on a chain of length L with open boundary. The model consists of one species of particles which diffuse, coagulate and decoagulate preferentially in the leftward direction. They are also…

Statistical Mechanics · Physics 2009-11-10 Farhad H Jafarpour

To analyze phase transitions in a nonequilibrium system we study its grand canonical partition function as a function of complex fugacity. Real and positive roots of the partition function mark phase transitions. This behavior, first found…

Statistical Mechanics · Physics 2009-10-31 Peter F. Arndt

Near the second order phase transition point, QCD with two flavours of massless quarks can be approximated by an O($4$) model, where a symmetry breaking external field $H$ can be added to play the role of quark mass. The Lee-Yang theorem…

High Energy Physics - Lattice · Physics 2021-12-01 Felipe Attanasio , Marc Bauer , Lukas Kades , Jan M. Pawlowski

Lee-Yang zeros are points on the complex plane of magnetic field where the partition function of a spin system is zero and therefore the free energy diverges. Lee-Yang zeros and their generalizations are ubiquitous in many-body systems and…

Quantum Physics · Physics 2015-01-08 Xinhua Peng , Hui Zhou , Bo-Bo Wei , Jiangyu Cui , Jiangfeng Du , Ren-Bao Liu

Lee-Yang and Fisher zeros are crucial for the study of phase transitions in the grand canonical and the canonical ensembles, respectively. However, these powerful methods do not cover the isothermal-isobaric ensemble (NPT ensemble), which…

Statistical Mechanics · Physics 2019-11-27 Timur Aslyamov , Iskander Akhatov

We discuss several pairing-related phenomena in nuclear systems, ranging from superfluidity in neutron stars to the gradual breaking of pairs in finite nuclei. We describe recent experimental evidence that points to a relation between…

Nuclear Theory · Physics 2015-06-26 A. Belic , D. J. Dean , M. Hjorth-Jensen

The liquid-gas phase transition in finite nuclei is studied in a heated liquid-drop model where the nuclear drop is assumed to be in thermodynamic equilibrium with its own evaporated nucleonic vapor conserving the total baryon number and…

Nuclear Theory · Physics 2009-11-11 J. N. De , S. K. Samaddar , S. Shlomo , J. B. Natowitz

We study symmetric nuclear matter at finite temperature, with particular emphasis on the liquid-gas phase transition. We use a standard covariance analysis to propagate statistical uncertainties from the density functional to the…

Nuclear Theory · Physics 2015-06-22 A. Rios , X. Roca-Maza

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

Predicting the phase diagram of interacting quantum many-body systems is a central problem in condensed matter physics and related fields. A variety of quantum many-body systems, ranging from unconventional superconductors to spin liquids,…

Strongly Correlated Electrons · Physics 2023-09-04 Pascal M. Vecsei , Christian Flindt , Jose L. Lado

In a finite temperature Thomas-Fermi framework, we calculate density distributions of hot nuclei enclosed in a freeze-out volume of few times the normal nuclear volume and then construct the caloric curve, with and without inclusion of…

Nuclear Theory · Physics 2009-10-30 J. N. De , S. K. Samaddar , S. Shlomo

Density functional theory has made great success in solid state physics, quantum chemistry and in computational material sciences. In this work we show that density functional theory could shed light on phase transitions and entanglement at…

Statistical Mechanics · Physics 2017-08-11 Bo-Bo Wei

We propose to use the theory of phase transitions of Lee and Yang as a practical tool to analyze long-range correlations in a finite-size system. We apply it to the analysis of anisotropic flow in nucleus-nucleus collisions, and show that…

Nuclear Theory · Physics 2015-06-26 R. S. Bhalerao , N. Borghini , J. -Y. Ollitrault

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

We have used the density-functional theory to locate the freezing transitions and calculate the values of freezing parameters for a system of long elongated molecules which interact via the Gay-Berne pair potential. The pair correlation…

Statistical Mechanics · Physics 2007-05-23 Pankaj Mishra , Jokhan Ram , Yashwant Singh

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

Statistical Mechanics · Physics 2009-10-31 E. A. Jagla

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition…

Statistical Mechanics · Physics 2017-12-13 L A S Mól , R G M Rodrigues , R A Stancioli , J C S Rocha , B V Costa

The phase transitions in dense neutron matter with triplet pairing have been investigated. The spectrum of phases of the $^3P_2$-$^3F_2$ model, which adequately describes pairing in this system, is identified and classified with the aid of…

Nuclear Theory · Physics 2009-09-29 J. W. Clark , V. A. Khodel , M. V. Zverev