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Related papers: Lee-Yang zeros and edge singularity in a mean-fiel…

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This paper is devoted to an in-depth study of the limiting measure of Lee--Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of M\"uller-Hartmann-Zittartz (1974 and 1977), Barata--Marchetti (1997), and…

Mathematical Physics · Physics 2019-03-27 Ivan Chio , Caleb He , Anthony L. Ji , Roland K. W. Roeder

We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for…

Statistical Mechanics · Physics 2024-09-25 P. Bialas , Z. Burda , D. A. Johnston

We investigate the location of the critical and tricritical points of the three-dimensional Blume-Capel model by analyzing the behavior of the first Lee-Yang zero, the density of partition function zeros, and higher-order cumulants of the…

Statistical Mechanics · Physics 2024-12-30 Leïla Moueddene , Nikolaos G. Fytas , Bertrand Berche

We consider thermodynamic singularities appearing in the complex chemical potential plane in the vicinity of QCD critical point. In order to investigate what the singularities are like in a concrete form, we resort to an effective theory…

High Energy Physics - Lattice · Physics 2013-11-26 Shinji Ejiri , Yasuhiko Shinno , Hiroshi Yoneyama

We study the distribution of the complex temperature zeros for the partition function of the Ising model on a Sierpinski gasket using an exact recursive relation. Although the zeros arrange on a curve pinching the real axis at T=0 in the…

Condensed Matter · Physics 2009-10-31 R. Burioni , D. Cassi , L. Donetti

We study the zeros in the complex plane of the partition function for the Ising model coupled to 2d quantum gravity for complex magnetic field and real temperature, and for complex temperature and real magnetic field, respectively. We…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea

We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\sim…

Statistical Mechanics · Physics 2016-03-23 M. Krasnytska , B. Berche , Yu. Holovatch , R. Kenna

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

The distribution of partition function zeros is studied for the $\pm J$ model of spin glasses on the Bethe lattice. We find a relation between the distribution of complex cavity fields and the density of zeros, which enables us to obtain…

Disordered Systems and Neural Networks · Physics 2010-06-16 Yoshiki Matsuda , Markus Mueller , Hidetoshi Nishimori , Tomoyuki Obuchi , Antonello Scardicchio

We have studied numerically the Lee-Yang singularities of the four dimensional Ising model at criticality, which is believed to be in the same universality class as the $\phi_4^4$ scalar field theory. We have focused in the numerical…

Statistical Mechanics · Physics 2024-10-02 J. J. Ruiz-Lorenzo

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…

Statistical Mechanics · Physics 2009-10-31 Nelson A. Alves , Ulrich H. E. Hansmann

We employ the recently introduced Ising-QCD partition function (N.~G. Antoniou {\it et al.}, Phys. Rev. D 97, 034015 (2018)) to explore in detail the behaviour of the moments of the baryon-number, within the critical region around the…

High Energy Physics - Phenomenology · Physics 2019-02-20 Nikolaos G. Antoniou , Fotios K. Diakonos

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…

Dynamical Systems · Mathematics 2021-07-01 Ferenc Bencs , Pjotr Buys , Lorenzo Guerini , Han Peters

The random-field XY model is studied in spatial dimensions d=3 and 4, and in-between, as the limit q --> \infty of the q-state clock models, by the exact renormalization-group solution of the hierarchical lattice or, equivalently, the…

Statistical Mechanics · Physics 2025-02-25 Kutay Akin , A. Nihat Berker

We study the zeros in the complex plane of the partition function for the Ising model coupled to $2d$ quantum gravity for complex magnetic field and for complex temperature. We compute the zeros by using the exact solution coming from a two…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjørn , K. N. Anagnostopoulos , U. Magnea

The relation between the zeros of the partition function and spinodal critical points in Ising models with long-range interactions is investigated. We find the spinodal is associated with the zeros of the partition function in…

Condensed Matter · Physics 2009-11-10 Natali Gulbahce , Harvey Gould , W. Klein

We explore connections between the phenomenon of correlation decay and the location of Lee-Yang and Fisher zeros for various spin systems. In particular we show that, in many instances, proofs showing that weak spatial mixing on the Bethe…

Computational Complexity · Computer Science 2022-08-05 Jingcheng Liu , Alistair Sinclair , Piyush Srivastava

We investigate the behavior of a weakly interacting nearly one-dimensional (1D) trapped Bose gas at finite temperature. We perform in situ measurements of spatial density profiles and show that they are very well described by a model based…

Other Condensed Matter · Physics 2010-10-21 A. H. van Amerongen , J. J. P. van Es , P. Wicke , K. V. Kheruntsyan , N. J. van Druten

Properties of nanoparticles have been studied within the framework of Ising model and the method of random-field interactions: the average magnetic moment and position of critical points of the magnetic and the concentration phase…

Mesoscale and Nanoscale Physics · Physics 2014-02-21 Yury Kirienko , Leonid Afremov

The fluctuations of proton multiplicity in heavy-ion collisions are the key observables in the search for the QCD critical point. In this work we present an approach to constraining the cumulants of proton number based on the analytical…

Nuclear Theory · Physics 2026-03-26 Gokce Basar , Maneesha Pradeep , Mikhail Stephanov