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The application of concepts from equilibrium statistical mechanics to out-of-equilibrium systems has a long history of describing diverse systems ranging from glasses to granular materials. For dissipative jammed systems-- particulate…

Soft Condensed Matter · Physics 2016-03-29 Kun Wang , Chaoming Song , Ping Wang , Hernan A. Makse

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

Jammed packings of granular materials differ from systems normally described by statistical mechanics in that they are athermal. In recent years a statistical mechanics of static granular media has emerged where the thermodynamic…

Soft Condensed Matter · Physics 2015-11-12 Song-Chuan Zhao , Matthias Schröter

A densely packed granular system is an example of an out-of-equilibrium system in the jammed state. It has been a longstanding problem to determine whether this class of systems can be described by concepts arising from equilibrium…

Disordered Systems and Neural Networks · Physics 2009-11-11 Chaoming Song , Ping Wang , Hernan A. Makse

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

Soft Condensed Matter · Physics 2010-02-01 F. Lechenault , Karen E. Daniels

Understanding granular and other athermal systems requires the identification of state variables which consistently predict their bulk properties. A promising approach has been to draw on the techniques of equilibrium statistical mechanics,…

Statistical Mechanics · Physics 2009-05-13 Frederic Lechenault , Karen E. Daniels

Disordered granular packings share many similarities with supercooled liquids, particu-larly in the rapid increase of structural relaxation time within a narrow range of temperature or packing fraction. However, it is unclear whether the…

Soft Condensed Matter · Physics 2024-09-10 Xinyu Ai , Houfei Yuan , Shuyang Zhang , Zhikun Zeng , Hanyu Li , Chengjie Xia , Yujie Wang

The thermodynamic equilibrium conditions for compact structures composed by mass varying particles are discussed assuming that the so-called dynamical mass behaves like an additional extensive thermodynamic degree of freedom. It then…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Alex E. Bernardini , O. Bertolami

Formulating a statistical mechanics for granular matter remains a significant challenge, in part, due to the difficulty associated with a complete characterization of the systems under study. We present a fully characterized model of a…

Soft Condensed Matter · Physics 2015-05-27 Richard K. Bowles , S. S. Ashwin

A scenario for systems with slow dynamics is characterised by stating that there are several temperatures coexisting in the sample, with a single temperature shared by all observables at each (widely separate) time-scale. In preparation for…

Statistical Mechanics · Physics 2016-08-31 Jorge Kurchan

We discuss the statistical mechanics of granular matter and derive several significant results. First, we show that, contrary to common belief, the volume and stress ensembles are inter-dependent, necessitating the use of both. We use the…

Soft Condensed Matter · Physics 2015-06-04 Raphael Blumenfeld , Joe F. Jordan , Sam F. Edwards

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

Stress-based ensembles incorporating temperature-like variables have been proposed as a route to an equation of state for granular materials. To test the efficacy of this approach, we perform experiments on a two-dimensional photoelastic…

Soft Condensed Matter · Physics 2019-01-30 Ephraim S. Bililign , Jonathan E. Kollmer , Karen E. Daniels

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

The non-equilibrium transition from a fluid-like state to a disordered solid-like state, known as the jamming transition, occurs in a wide variety of physical systems, such as colloidal suspensions and molecular fluids, when the temperature…

Soft Condensed Matter · Physics 2012-02-10 M. Pica Ciamarra , R. Pastore , M. Nicodemi , A. Coniglio

Dry granular materials consist of a vast ensemble of discrete solid particles, interacting through complex frictional forces at the contact points. The particles are so large that these systems are believed to be completely athermal. Here,…

Soft Condensed Matter · Physics 2024-01-17 Kasra Farain , Daniel Bonn

The structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

Recent theoretical advances show that the temperature of a system in equilibriumcan be measured from static snapshots of its constituents' instantaneous configurations, withoutregard to their dynamics. We report the first measurements of…

Soft Condensed Matter · Physics 2009-11-10 Yilong Han , David G. Grier

Granular matter exists out of thermal equilibrium, i.e. it is athermal. While conventional equilibrium statistical mechanics is not useful for characterizing granular materials, the idea of constructing a statistical ensemble analogous to…

Soft Condensed Matter · Physics 2013-07-18 Dapeng Bi , Jie Zhang , R. P. Behringer , Bulbul Chakraborty

A significant amount of attention was dedicated in recent years to the phenomenon of jamming of athermal amorphous solids by increasing the volume fraction of the microscopic constituents. At a critical value of the volume fraction,…

Soft Condensed Matter · Physics 2023-05-03 Yuliang Jin , Itamar Procaccia , Tuhin Samanta
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