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We discuss phase transitions and the phase diagram of a classical dimer model with anisotropic interactions defined on a square lattice. For the attractive region, the perturbation of the orientational order parameter introduced by the…

Statistical Mechanics · Physics 2009-08-04 Hiromi Otsuka

The critical behavior of the non-diffusive susceptible-infected-recovered model on lattices had been well established in virtue of its duality symmetry. By performing simulations and scaling analyses for the diffusive variant on the…

Statistical Mechanics · Physics 2023-01-23 Shengfeng Deng , Géza Ódor

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated…

Soft Condensed Matter · Physics 2019-04-03 Danilo B. Liarte , Xiaoming Mao , Olaf Stenull , T. C. Lubensky

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

In peripheral collisions of relativistic heavy ions highly excited spectators containing Lambda-hyperons can be produced. Such strange spectator matter may undergo a break-up into many fragments (multifragmentation) as it is well…

Nuclear Theory · Physics 2008-11-26 A. S. Botvina , J. Pochodzalla

We define in this paper a class of three indices tensor models, endowed with $O(N)^{\otimes 3}$ invariance ($N$ being the size of the tensor). This allows to generate, via the usual QFT perturbative expansion, a class of Feynman tensor…

Mathematical Physics · Physics 2016-10-11 Sylvain Carrozza , Adrian Tanasa

This paper focuses on asymptotic properties of random monomial ideals through a statistical viewpoint. It extends the study of redundancy in monomial ideals by analyzing the poset density of the LCM-lattice. We explore how this density…

Symbolic Computation · Computer Science 2026-05-06 Fatemeh Mohammadi , Sonja Petrović , Eduardo Sáenz-de-Cabezón

Matrix models have phase transitions in which distributions of variables change topologically like the Gross-Witten-Wadia transition. In a recent study, similar splitting-merging behavior of distributions of dynamical variables was observed…

High Energy Physics - Theory · Physics 2023-01-04 Naoki Sasakura

We identify a new scenario for dynamical phase transitions associated with time-integrated observables occurring in diffusive systems described by the macroscopic fluctuation theory. It is characterized by the pairwise meeting of first- and…

Statistical Mechanics · Physics 2023-07-19 Tal Agranov , Michael E. Cates , Robert L. Jack

Repulsively interacting particles in a periodic potential can form bound composite objects, whose dissociation is suppressed by a band gap. Nearly pure samples of such repulsively bound pairs of cold atoms -- "dimers" -- have recently been…

Other Condensed Matter · Physics 2008-03-31 David Petrosyan , Bernd Schmidt , James R. Anglin , Michael Fleischhauer

Vesicles, or closed fluctuating membranes, have been modeled in two dimensions by self-avoiding polygons, weighted with respect to their perimeter and enclosed area, with the simplest model given by area-weighted excursions. These models…

Statistical Mechanics · Physics 2018-07-27 Nils Haug , Thomas Prellberg

Tensor network methods have demonstrated their suitability for the study of equilibrium properties of lattice gauge theories, even close to the continuum limit. We use them in an out-of-equilibrium scenario, much less explored so far, by…

High Energy Physics - Lattice · Physics 2025-03-24 Irene Papaefstathiou , Johannes Knolle , Mari Carmen Bañuls

Elastic properties of soft, three-dimensional dimers, interacting through site-site n-inverse-power potential, are determined by computer simulations at zero temperature. The degenerate crystal of dimers exhibiting (Gaussian) size…

Computational Physics · Physics 2015-04-14 J. W. Narojczyk , K. W. Wojciechowski

A model of dipolar dimer liquid (DDL) on a two-dimensional lattice has been proposed. We found that at high density and low temperature, it has a partially ordered phase which we called glacia phase. The glacia phase transition can be…

Statistical Mechanics · Physics 2019-02-26 Junyi Zhang

Recently, the intriguing interplay between topology and quantum criticality has been unveiled in one-dimensional topological chains with extended nearest-neighbor couplings. In these systems, topologically distinct critical phases emerge…

Disordered Systems and Neural Networks · Physics 2025-07-25 Ranjith R Kumar , Pasquale Marra

We show how the theory of the critical behaviour of $d$-dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This in particular encompasses the case of a single polymer chain…

Mathematical Physics · Physics 2020-08-26 Bertrand Duplantier , Anthony J Guttmann

Random sequential adsorption (RSA) models have been studied due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extended objects; they are not allowed to overlap. Numerical Monte…

Condensed Matter · Physics 2016-07-12 P. Nielaba , V. Privman , J. -S. Wang

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

Strongly Correlated Electrons · Physics 2009-11-11 V. V. França , K. Capelle

We suggest a tetracritical fixed point to naturally occur in strongly interacting theories. As a fundamental example we analyze the temperature--quark chemical potential phase diagram of QCD with fermions in the adjoint representation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Francesco Sannino , Kimmo Tuominen

We present a dynamical and dissipative lattice model, designed to mimic nuclear multifragmentation. Monte-Carlo simulations with this model show clear signature of critical behaviour and reproduce experimentally observed correlations. In…

Statistical Mechanics · Physics 2009-10-31 J. S. Sa' Martins , P. M. C. de Oliveira