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We briefly review the basics ideas and results of a recently proposed statistical mechanical approach to granular materials. Using lattice models from standard Statistical Mechanics and results from a mean field replica approach and Monte…

Condensed Matter · Physics 2009-10-31 Antonio Coniglio , Mario Nicodemi

A dilute suspension of active Brownian particles in a dense compressible viscoelastic fluid, forms a natural setting to study the emergence of nonreciprocity during a dynamical phase transition. At these densities, the transport of active…

Soft Condensed Matter · Physics 2021-10-14 Jyoti Prasad Banerjee , Rituparno Mandal , Deb Sankar Banerjee , Shashi Thutupalli , Madan Rao

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

The jamming of bi-disperse soft core disks is considered, using a variety of different protocols to produce the jammed state. In agreement with other works, we find that cooling and compression can lead to a broad range of jamming packing…

Soft Condensed Matter · Physics 2015-05-19 Daniel Vågberg , Peter Olsson , S. Teitel

We study how solidification of model freely rotating polymers under athermal quasistatic compression varies with their bond angle $\theta_0$. All systems undergo two discrete, first-order-like transitions: entanglement at $\phi =…

Soft Condensed Matter · Physics 2020-05-01 Joseph D. Dietz , Robert S. Hoy

In marginally jammed solids confined by walls, we calculate the particle and ensemble averaged value of an order parameter, $\left<\Psi(r)\right>$, as a function of the distance to the wall, $r$. Being a microscopic indicator of structural…

Soft Condensed Matter · Physics 2021-01-26 Jun Liu , Hua Tong , Yunhuan Nie , Ning Xu

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

We investigate the glass and the jamming transitions of hard spheres in finite dimensions $d$, through a revised cell theory, that combines the free volume and the Random First Order Theory (RFOT). Recent results show that in infinite…

Soft Condensed Matter · Physics 2018-01-01 Antonio Coniglio , Massimo Pica Ciamarra , Tomaso Aste

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio

In this Letter, we analyze the quantum dynamics of the perceptron model: a particle is constrained on a $N$-dimensional sphere, with $N\to \infty$, and subjected to a set of randomly placed hard-wall potentials. This model has several…

Disordered Systems and Neural Networks · Physics 2021-05-05 Claudia Artiaco , Federico Balducci , Giorgio Parisi , Antonello Scardicchio

The recently introduced nested sampling algorithm allows the direct and efficient calculation of the partition function of atomistic systems. We demonstrate its applicability to condensed phase systems with periodic boundary conditions by…

Statistical Mechanics · Physics 2014-01-09 Lívia B. Pártay , Albert P. Bartók , Gábor Csányi

Supercooled liquids and dense colloids exhibit anomalous behaviour known as "spatially heterogeneous dynamics" (SHD), which becomes increasingly pronounced with approach to the glass transition. Recently, SHD has been observed in confined…

Soft Condensed Matter · Physics 2010-12-23 Aaron S. Keys , Adam R. Abate , Sharon C. Glotzer , Douglas J. Durian

We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

Statistical Mechanics · Physics 2021-10-27 Jules Guioth , Robert L. Jack

We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long range…

Statistical Mechanics · Physics 2009-10-30 O. J. O'Loan , M. R. Evans , M. E. Cates

The dynamical properties of a dense horizontally vibrated bidisperse granular monolayer are experimentally investigated. The quench protocol produces states with a frozen structure of the assembly, but the remaining degrees of freedom…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. -P. Bouchaud

We introduce a three-dimensional model for jamming and glasses, and prove that the fraction of frozen particles is discontinuous at the directed-percolation critical density. In agreement with the accepted scenario for jamming- and…

Statistical Mechanics · Physics 2014-05-02 Antina Ghosh , Eial Teomy , Yair Shokef

We propose a scaling ansatz for the elastic energy of a system near the critical jamming transition in terms of three relevant fields: the compressive strain $\Delta \phi$ relative to the critical jammed state, the shear strain $\epsilon$,…

Soft Condensed Matter · Physics 2015-10-14 Carl P. Goodrich , Andrea J. Liu , James P. Sethna

The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Greg Farrell , Jane' Kondev , Bulbul Chakraborty

We study a two-lane driven lattice gas model with oppositely directed particles moving on two periodic lanes with correlated lane switching processes, so that particles can switch lanes with finite probability only when oppositely directed…

Statistical Mechanics · Physics 2015-06-18 Sudipto Muhuri

A field theory of frictionless grain packings in two dimensions is shown to exhibit a zero-temperature critical point at a non-zero value of the packing fraction. The zero-temperature constraint of force-balance plays a crucial role in…

Statistical Mechanics · Physics 2013-05-29 Silke Henkes , Bulbul Chakraborty