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We study condensation and evaporation of particles which repel each other, using a simple set of rules on a square lattice. Different results are obtained for a mobile and an immobile surface layer.A two point limit cycle is observed for…

Soft Condensed Matter · Physics 2009-11-10 T Dutta , N I Lebovka , S Tarafdar

We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio,…

Soft Condensed Matter · Physics 2025-05-15 Denis Dertli , Thomas Speck

Understanding the relaxation of a system towards equilibrium is a longstanding problem in statistical mechanics. Here we address the role of long-range interactions in this process by considering a class of two-dimensional or geophysical…

Fluid Dynamics · Physics 2015-06-24 A Venaille , T Dauxois , S Ruffo

The smooth emergence of shear elasticity is an hallmark of the liquid to glass transition. In a liquid, viscous stresses arise from local structural rearrangements. In the solid, Eshelby has shown that stresses around an inclusion decay as…

Soft Condensed Matter · Physics 2024-11-08 Niklas Grimm , Martin von Bischopinck , Andreas Zumbusch , Matthias Fuchs

While the geometry of equilibrium states and driven non-equilibrium processes is clearly understood, a geometric description for relaxation towards equilibrium is still lacking. Here, we propose a thermo-geometric measure based on the…

Statistical Mechanics · Physics 2026-04-17 Hao Wang , Li Zhao , Shuai Deng , Yu-Han Ma

Understanding the relaxation dynamics of colloidal suspensions is crucial to identify the elements that influence the mobility of their constituents, assess their macroscopic response across the relevant time and length scales, and thus…

Soft Condensed Matter · Physics 2022-02-02 Daniela Cywiak , Alejandro Gil-Villegas , Alessandro Patti

In two dimensions, a system of self-gravitating particles collapses and forms a singularity in finite time below a critical temperature $T_c$. We investigate experimentally a quasi two-dimensional cloud of cold neutral atoms in interaction…

We explore quantitative descriptors that herald when a many-particle system in $d$-dimensional Euclidean space $\mathbb{R}^d$ approaches a hyperuniform state as a function of the relevant control parameter. We establish quantitative…

Soft Condensed Matter · Physics 2021-05-26 Salvatore Torquato

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

Numerical analysis of a shear layer between a cool liquid n-decane hydrocarbon and a hot oxygen gas at supercritical pressures shows that a well-defined phase equilibrium can be established. Variable properties are considered with the…

Fluid Dynamics · Physics 2020-06-04 Branson Davis , Jordi Poblador-Ibanez , William A. Sirignano

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-propelled particles confined in a convex box in two dimensions. We find that when the size of the box is small compared to the persistence length of a…

Soft Condensed Matter · Physics 2014-08-05 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

Kinetics of separation between the low and high density phases in a single component Lennard-Jones model has been studied via molecular dynamics simulations, at a very low temperature, in the space dimension $d=2$. For densities close to…

Statistical Mechanics · Physics 2017-04-26 Jiarul Midya , Subir K. Das

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

Spatially ordered systems confined to surfaces such as spheres exhibit interesting topological structures because of curvature induced frustration in orientational as well as translational order. The study of these structures is important…

Soft Condensed Matter · Physics 2022-06-24 Dharanish Rajendra , Jaydeep Mandal , Yashodhan Hatwalne , Prabal K. Maiti

In many interesting physical settings, such as the vulcanization of rubber, the introduction of permanent random constraints between the constituents of a homogeneous fluid can cause a phase transition to a random solid state. In this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Paul M. Goldbart

Within the mode-coupling theory for ideal glass transitions, an analysis for the correlation functions of glass-forming systems for states near higher-order glass-transition singularities is presented. It is shown that the solutions of the…

Soft Condensed Matter · Physics 2007-05-23 W. Gotze , M. Sperl

In this paper we present a new thermodynamically consistent phase transition model describing the evolution of a liquid substance, e.g., water, in a rigid container $\Omega$ when we freeze the container. Since the density $\varrho_{2}$ of…

Analysis of PDEs · Mathematics 2014-01-10 Michel Fremond , Elisabetta Rocca

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

We study by quantum Monte Carlo simulations the low-temperature phase diagram of dipolar bosons confined to one dimension, with dipole moments aligned along the direction of particle motion. A hard core repulsive potential of varying range…

Statistical Mechanics · Physics 2020-02-12 Youssef Kora , Massimo Boninsegni

We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal…

Soft Condensed Matter · Physics 2023-03-28 Gess Kelly , Navid Bizmark , Bulbul Chakraborty , Sujit S. Datta , Thomas G. Fai