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The one-dimensional penetrable-square-well fluid is studied using both analytical tools and specialized Monte Carlo simulations. The model consists of a penetrable core characterized by a finite repulsive energy combined with a short-range…

Statistical Mechanics · Physics 2010-07-13 R. Fantoni , A. Giacometti , Al. Malijevský , A. Santos

A quasiparticle pattern advanced in Landau's first article on Fermi liquid theory is adapted to elucidate the properties of a class of strongly correlated Fermi systems characterized by a Lifshitz phase diagram featuring a quantum critical…

Strongly Correlated Electrons · Physics 2011-09-26 V. A. Khodel , J. W. Clark , M. V. Zverev

The Schwinger model is used to study the artifacts of quenching in a controlled way. The model is solved on a finite-temperature cylinder of circumference $\beta=1/T$ with bag-inspired local boundary conditions at the two ends $x^1=0$ and…

High Energy Physics - Lattice · Physics 2009-10-31 Stephan Dürr , Stephen R. Sharpe

The phase diagram of a simple model with two patches of type A and ten patches of type B (2A10B) on the face centred cubic lattice has been calculated by simulations and theory. Assuming that there is no interaction between the B patches…

Soft Condensed Matter · Physics 2015-06-12 N. G. Almarza , J. M. Tavares , E. G. Noya , M. M. Telo da Gama

We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

Using classical density functional theory (DFT) we calculate the density profile $\rho({\mathbf r})$ and local compressibility $\chi({\mathbf r})$ of a simple liquid solvent in which a pair of blocks with (microscopic) rectangular…

Soft Condensed Matter · Physics 2017-04-05 Blesson Chacko , Robert Evans , Andrew J. Archer

The thermodynamic stability of the hard-sphere gas has been examined, using the formalism of scaled particle theory [SPT], and by applying explicitly the conditions of stability required by both the second and third laws of thermodynamics.…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney

Based on Brownian Dynamics computer simulations in two dimensions we investigate aggregation scenarios of colloidal particles with directional interactions induced by multiple external fields. To this end we propose a model which allows…

Soft Condensed Matter · Physics 2015-05-08 Florian Kogler , Orlin D. Velev , Carol K. Hall , Sabine H. L. Klapp

In this work, we study the long time asymptotics of a coagulation model which describes the evolution of a system of particles characterized by their volume and surface area. The aggregation mechanism takes place in two stages: collision…

Analysis of PDEs · Mathematics 2024-11-19 Iulia Cristian , Juan J. L. Velázquez

Recent observations of the fractional anomalous quantum Hall effect in moir\'e materials have reignited the interest in fractional Chern insulators (FCIs). The chiral limit in which analytic Landau level-like single-particle states form an…

Strongly Correlated Electrons · Physics 2025-06-06 Hui Liu , Kang Yang , Ahmed Abouelkomsan , Zhao Liu , Emil J. Bergholtz

A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of…

Soft Condensed Matter · Physics 2025-02-11 Antonio Díaz-Pozuelo , Diego González-Salgado , Enrique Lomba

We study the consistency and convergence of smoothed particle hydrodynamics (SPH), as a function of the interpolation parameters, namely the number of particles $N$, the number of neighbors $n$, and the smoothing length $h$, using…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 Ruslan Gabbasov , Leonardo Di G. Sigalotti , Fidel Cruz , J. Klapp , J. M. Ramírez-Velasquez

We generalize the textbook Kronig-Penney model to realistic conditions for a quantum-particle moving in the quasi-one-dimensional (quasi-1D) waveguide, where motion in the transverse direction is confined by a harmonic trapping potential.…

Quantum Physics · Physics 2020-06-02 Marta Sroczyńska , Tomasz Wasak , Zbigniew Idziaszek

We study a quantum extension of the spherical $p$-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Leticia F Cugliandolo , D. R. Grempel , Constantino A da Silva Santos

We investigate the unitary evolution following a quantum quench in quantum spin models possessing a (nearly) flat band in the linear excitation spectrum. Inspired by the perspective offered by ensembles of individually trapped Rydberg…

Strongly Correlated Electrons · Physics 2018-12-05 Raphaël Menu , Tommaso Roscilde

The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, $L$, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete''…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

Recently, it has been shown how topological phases of matter with crystalline symmetry and $U(1)$ charge conservation can be partially characterized by a set of many-body invariants, the discrete shift $\mathscr{S}_{\text{o}}$ and electric…

Strongly Correlated Electrons · Physics 2025-02-28 Yuxuan Zhang , Maissam Barkeshli

We present mode-coupling theory (MCT) results for densely packed hard-sphere fluids confined between two parallel walls and compare them quantitatively to computer simulations. The numerical solution of MCT is calculated for the first time…

Soft Condensed Matter · Physics 2023-05-10 Gerhard Jung , Thomas Franosch

We construct a two-band lattice model whose bands can carry the Chern numbers C=0,pm1,pm2. By means of numerical exact diagonalization, we show that the most favorable situation that selects fractional Chern insulators (FCIs) is not…

Strongly Correlated Electrons · Physics 2012-11-26 Adolfo G. Grushin , Titus Neupert , Claudio Chamon , Christopher Mudry

We describe a solvable model of a quantum transition in a single band model involving a change in the size of the electron Fermi surface without any symmetry breaking. In a model with electron density $1-p$, we find a 'large' Fermi surface…

Strongly Correlated Electrons · Physics 2021-06-23 Alexander Nikolaenko , Maria Tikhanovskaya , Subir Sachdev , Ya-Hui Zhang
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