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The Yang-Lee edge singularity was originally studied from the standpoint of mathematical foundations of phase transitions, and its physical demonstration has been of active interest both theoretically and experimentally. However, the…

Statistical Mechanics · Physics 2024-08-20 Huixia Gao , Kunkun Wang , Lei Xiao , Masaya Nakagawa , Norifumi Matsumoto , Dengke Qu , Haiqing Lin , Masahito Ueda , Peng Xue

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

Statistical Mechanics · Physics 2014-04-01 Silvio Franz , Giorgio Parisi

We study the properties of superconducting electrical circuits, realizing cavity QED. In particular we explore the limit of strong coupling, low dissipation, and elevated temperatures relevant for current and future experiments. We…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ileana Rau , Göran Johansson , Alexander Shnirman

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo

A one-dimensional (1D) $q$-state Potts model with $N$ sites, $m$-site interaction $K$ in a field $H$ is studied for arbitrary values of $m$. Exact results for the partition function and the two-point correlation function are obtained at…

Statistical Mechanics · Physics 2017-04-25 L. Turban

We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures,…

High Energy Physics - Lattice · Physics 2009-10-22 Andrei L. Talapov , Lev N. Shchur

Results of a lattice field theory simulation of the single-flavor Thirring model in 2+1 spacetime dimensions are presented. The lattice model is formulated using domain wall fermions as a means to recover the correct U(2) symmetries of the…

High Energy Physics - Lattice · Physics 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

QCD at non-zero baryon density is expected to have a critical point where the zero-density cross-over turns into a first order phase transition. To identify this point we scan the density-temperature space using a canonical ensemble method.…

High Energy Physics - Lattice · Physics 2009-04-14 Anyi Li , Xiangfei Meng , Andrei Alexandru , Keh-Fei Liu

We explore the phase structure of Quantum Chromodynamics (QCD) with two dynamical quark flavors at finite temperature and baryon chemical potential, employing the non-perturbative gauge/gravity duality approach. Our gravitational model is…

High Energy Physics - Phenomenology · Physics 2024-04-17 Yan-Qing Zhao , Song He , Defu Hou , Li Li , Zhibin Li

We discuss the use of strong coupling expansions for Yang-Mills theory and QCD at finite temperature and density. In particular we consider the onset of temperature effects for the free energy and screening masses, derive the hadron…

High Energy Physics - Lattice · Physics 2011-03-10 Jens Langelage , Owe Philipsen

We propose a method to study lattice QCD at finite temperature and chemical potential. We compare it with direct results and with the Glasgow method by using n_f=4 QCD at Im(\mu)\neq 0. We locate the critical endpoint (E) of QCD on the…

High Energy Physics - Lattice · Physics 2007-05-23 Z. Fodor , S. D. Katz

The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for…

High Energy Physics - Theory · Physics 2007-05-23 R. A. Janik , J. Wosiek

We use a cluster algorithm to study the critical behavior of strongly coupled lattice QCD in the chiral limit. We show that the finite temperature chiral phase transition belongs to the O(2) universality class as expected. When we compute…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan

We present a computational framework for the simulations of powder-bed fusion of metallic alloys, which combines: (1) CalPhaD calculations of temperature-dependent alloy properties and phase diagrams, (2) macroscale finite element (FE)…

Materials Science · Physics 2022-05-10 S. M. Elahi , R. Tavakoli , A. K. Boukellal , T. Isensee , I. Romero , D. Tourret

Exploration of the QCD phase diagram and critical point is one of the main goals in current relativistic heavy-ion collisions. The QCD critical point is expected to belong to a three-dimensional (3D) Ising universality class. Machine…

Nuclear Theory · Physics 2023-02-02 Xiaobing Li , Ranran Guo , Yu Zhou , Kangning Liu , Jia Zhao , Fen Long , Yuanfang Wu , Zhiming Li

In the field of Artificial Intelligence (AI) and Machine Learning (ML), the approximation of unknown target functions $y=f(\mathbf{x})$ using limited instances $S={(\mathbf{x^{(i)}},y^{(i)})}$, where $\mathbf{x^{(i)}} \in D$ and $D$…

Machine Learning · Computer Science 2023-08-14 Pablo Moscato , Mohammad Nazmul Haque , Kevin Huang , Julia Sloan , Jon C. de Oliveira

Machine-learning methods are nowadays of common use in the field of material science. For example, they can aid in optimizing the physicochemical properties of new materials, or help in the characterization of highly complex chemical…

Disordered Systems and Neural Networks · Physics 2022-11-29 Maciej J. Karcz , Luca Messina , Eiji Kawasaki , Serenah Rajaonson , Didier Bathellier , Emeric Bourasseau

We use a two-level simulation method to analyse the critical point associated with demixing of binary hard sphere mixtures. The method exploits an accurate coarse-grained model with two-body and three-body effective interactions. Using this…

Statistical Mechanics · Physics 2021-10-13 Hideki Kobayashi , Paul B. Rohrbach , Robert Scheichl , Nigel B. Wilding , Robert L. Jack

The field mixing that manifests broken particle-hole symmetry is studied for a 2-D asymmetric lattice gas model having tunable field mixing properties. Monte Carlo simulations within the grand canonical ensemble are used to obtain the…

Condensed Matter · Physics 2009-10-22 N. B. Wilding

The QCD baryon number density can formally be expanded into a Laurent series in fugacity, which is a relativistic generalization of Mayer's cluster expansion. We determine properties of the cluster expansion in a model with a phase…

High Energy Physics - Phenomenology · Physics 2020-01-23 Volodymyr Vovchenko , Carsten Greiner , Volker Koch , Horst Stoecker