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Related papers: Finite-density effects in the Fredrickson-Andersen…

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We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations…

Soft Condensed Matter · Physics 2015-08-04 Johannes Zierenberg , Wolfhard Janke

An analytical realization is suggested for the finite-size scaling algorithm based on the consideration of auxiliary quasi-1D systems. Comparison of the obtained analytical results with the results of numerical calculations indicates that…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. M. Suslov

We investigate the finite size corrections to the equilibrium magnetization of an Ising model on a random graph with $N$ nodes and $N^{\gamma}$ edges, with $1 < \gamma \leq 2$. By conveniently rescaling the coupling constant, the free…

Statistical Mechanics · Physics 2015-05-13 Julien Barre' , Antonia Ciani , Duccio Fanelli , Franco Bagnoli , Stefano Ruffo

We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the…

Statistical Mechanics · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry

A detailed analysis of the finite-size effects on the bulk critical behaviour of the $d$-dimensional mean spherical model confined to a film geometry with finite thickness $L$ is reported. Along the finite direction different kinds of…

Statistical Mechanics · Physics 2008-08-12 H. Chamati

We investigate finite-size quantum effects in the dynamics of $N$ bosonic particles which are tunneling between two sites adopting the two-site Bose-Hubbard model. By using time-dependent atomic coherent states (ACS) we extend the standard…

Quantum Gases · Physics 2021-02-26 S. Wimberger , G. Manganelli , A. Brollo , L. Salasnich

We simulate numerically the compression driven jamming of athermal, frictionless, soft-core spherocylinders in two dimensions, for a range of particle aspect ratios $\alpha$. We find the critical packing fraction $\phi_J(\alpha)$ for the…

Disordered Systems and Neural Networks · Physics 2018-06-06 Theodore Marschall , S. Teitel

On the example of a mean-field Fredrickson-Andersen kinetically constrained model, we focus on the known property that equilibrium dynamics take place at a first-order dynamical phase transition point in the space of time-realizations. We…

Statistical Mechanics · Physics 2015-05-18 Takahiro Nemoto , Vivien Lecomte , Shin-ichi Sasa , Frédéric van Wijland

We create collectively jammed (CJ) packings of 50-50 bidisperse mixtures of smooth disks in 2d using an algorithm in which we successively compress or expand soft particles and minimize the total energy at each step until the particles are…

Statistical Mechanics · Physics 2009-11-11 Ning Xu , Jerzy Blawzdziewicz , Corey S. O'Hern

Jamming is a common feature of out of equilibrium systems showing slow relaxation dynamics. Here we review our efforts in understanding jamming in granular materials using experiments and computer simulations. We first obtain an estimation…

Soft Condensed Matter · Physics 2009-11-11 Chaoming Song , Ping Wang , Fabricio Potiguar , Hernan A. Makse

Simulations are used to find the zero temperature jamming threshold, $\phi_j$, for soft, bidisperse disks in the presence of small fixed particles, or "pins", arranged in a lattice. The presence of pins leads, as one expects, to a decrease…

Soft Condensed Matter · Physics 2022-10-17 Prairie Wentworth-Nice , Sean A. Ridout , Brian Jenike , Ari Liloia , Amy L. Graves

We study finite size effects for the gap of the quasiparticle excitation spectrum in the weakly interacting regime one-dimensional Hubbard model with on-site attraction. Two type of corrections to the result of the thermodynamic limit are…

Strongly Correlated Electrons · Physics 2009-12-08 M. Colomé-Tatché , S. I. Matveenko , G. V. Shlyapnikov

This paper illustrates how the tools of equilibrium statistical mechanics can help to explain a far-from-equilibrium problem: the jamming transition in frictionless granular materials. Edwards ideas consist of proposing a statistical…

Soft Condensed Matter · Physics 2015-05-27 Kun Wang , Chaoming Song , Ping Wang , Hernán A. Makse

Jamming and percolation of three-dimensional (3D) $k \times k \times k $ cubic objects ($k^3$-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The $k^3$-mers…

Statistical Mechanics · Physics 2019-08-28 A. C. Buchini Labayen , P. M. Centres , P. M. Pasinetti , A. J. Ramirez-Pastor

We report a surprising result, established by numerical simulations and analytical arguments for a one-dimensional lattice model of random sequential adsorption, that even an arbitrarily small imprecision in the lattice-site localization…

Statistical Mechanics · Physics 2016-07-12 Vladimir Privman , Han Yan

We examine the leading order semiclassical gradient corrections to the non-interacting kinetic energy density functional of a two dimensional Fermi gas by applying the extended Thomas-Fermi theory at finite temperature. We find a non-zero…

Quantum Gases · Physics 2015-05-20 Brandon P. van Zyl , K. Berkane , K Bencheikh , A. Farrell

The Fredrickson-Andersen 2-spin facilitated model on $\mathbb{Z}^d$ (FA-2f) is a paradigmatic interacting particle system with kinetic constraints (KCM) featuring dynamical facilitation, an important mechanism in condensed matter physics.…

Probability · Mathematics 2024-01-31 Ivailo Hartarsky , Fabio Martinelli , Cristina Toninelli

We add relaxation mechanisms that mimic the effect of temperature and non-equilibrium driving to the recently-proposed spiral model which jams at a critical density rho_c < 1. This enables us to explore unjamming by temperature or driving…

Soft Condensed Matter · Physics 2010-05-20 Yair Shokef , Andrea J. Liu

Fragile materials ranging from sand to fire-retardant to toothpaste are able to exhibit both solid and fluid-like properties across the jamming transition. Unlike ordinary fusion, systems of grains, foams and colloids jam and cease to flow…

Soft Condensed Matter · Physics 2008-04-12 Kevin Lu , E. E. Brodsky , H. P. Kavehpour

For $\Delta \ge 5$ and $q$ large as a function of $\Delta$, we give a detailed picture of the phase transition of the random cluster model on random $\Delta$-regular graphs. In particular, we determine the limiting distribution of the…

Probability · Mathematics 2021-09-16 Tyler Helmuth , Matthew Jenssen , Will Perkins