Statistical mechanics of equilibrium and nonequilibrium phase transitions: the Yang–Lee formalism

I Bena, M Droz, A Lipowski - International Journal of Modern Physics …, 2005 - World Scientific
Showing that the location of the zeros of the partition function can be used to study phase
transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an …

Exploring Lee-Yang and Fisher zeros in the 2D Ising model through multipoint Padé approximants

S Singh, M Cipressi, F Di Renzo - Physical Review D, 2024 - APS
We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model
using multipoint Padé approximants. We perform simulations for the 2D Ising model with …

Yang-Lee zeros for real-space condensation

Z Burda, DA Johnston, M Kieburg - Physical Review E, 2025 - APS
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 …

The Lambert W function and quantum statistics

SR Valluri, M Gil, DJ Jeffrey, S Basu - Journal of Mathematical Physics, 2009 - pubs.aip.org
We present some applications of the Lambert W function (⁠ W function) to the formalism of
quantum statistics (QS). We consider the problem of finding extrema in terms of energy for a …

The importance of the Ising model

BM McCoy, JM Maillard - Progress of Theoretical Physics, 2012 - academic.oup.com
Understanding the relationship which integrable (solvable) models, all of which possess
very special symmetry properties, have with the generic non-integrable models that are used …

Type I superconductivity upon monopole condensation in Seiberg–Witten theory

A Vainshtein, A Yung - Nuclear Physics B, 2001 - Elsevier
We study the confinement scenario in N= 2 supersymmetric SU (2) gauge theory near the
monopole point upon breaking of N= 2 supersymmetry by the adjoint matter mass term. We …

Exact Potts model partition functions on ladder graphs

R Shrock - Physica A: Statistical Mechanics and its Applications, 2000 - Elsevier
We present exact calculations of the partition function Z of the q-state Potts model and its
generalization to real q, for arbitrary temperature on n-vertex ladder graphs, ie, strips of the …

Asymptotic limits and zeros of chromatic polynomials and ground-state entropy of Potts antiferromagnets

R Shrock, SH Tsai - Physical Review E, 1997 - APS
An important question in graph theory is the following: Using q different colors, what is the
number of ways P (G, q) in which one can color a graph G, having n vertices, such that no …

Yang-Lee zeros of a random matrix model for QCD at finite density

MA Halasz, AD Jackson, JJM Verbaarschot - Physics Letters B, 1997 - Elsevier
We study the Yang-Lee zeros of a random matrix partition function with the global
symmetries of the QCD partition function. We consider both zeros in the complex chemical …

Fermion determinants in matrix models of QCD at nonzero chemical potential

MA Halasz, AD Jackson, JJM Verbaarschot - Physical Review D, 1997 - APS
The presence of a chemical potential completely changes the analytical structure of the QCD
partition function. In particular, the eigenvalues of the Dirac operator are distributed over a …