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We determine the dimensional dependence of the percolative exponents of the jamming transition via numerical simulations in four and five spatial dimensions. These novel results complement literature ones, and establish jamming as a mixed…

Soft Condensed Matter · Physics 2021-02-03 Antonio Piscitelli , Antonio Coniglio , Annalisa Fierro , Massimo Pica Ciamarra

This paper is aimed at pursuing a recent discussion about the comparison between Self-Organised Criticality, the jamming process and the percolation theory in the problem of a silo discharge [I. Zuriguel, A. Garcimartin, D. Maza,…

Fluid Dynamics · Physics 2011-11-29 P. Evesque

The jamming transition of frictionless athermal particles is a paradigm to understand the mechanics of amorphous materials at the atomic scale. Concepts related to the jamming transition and the mechanical response of jammed packings have…

Soft Condensed Matter · Physics 2025-02-07 Alessio Zaccone

We consider the disordering dynamics of an interacting binary alloy with a small admixture of vacancies which mediate atom-atom exchanges. Starting from a perfectly phase-segregated state, the system is rapidly heated to a temperature in…

Statistical Mechanics · Physics 2015-06-25 B. Schmittmann , R. K. P. Zia , Wannapong Triampo

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

We report a Monte Carlo simulation of deposition of magnetic particles on a one-dimensional substrate. Incoming particles interact with those that are already part of the deposit via a dipole-dipole potential. The strength of the dipolar…

Condensed Matter · Physics 2009-11-10 F. de los Santos , M. Tasinkevych , J. M. Tavares , P. I. C. Teixeira

Machine learning for phase transition has received intensive research interest in recent years. However, its application in percolation still remains challenging. We propose an auxiliary Ising mapping method for machine learning study of…

Statistical Mechanics · Physics 2022-03-08 Junyin Zhang , Bo Zhang , Junyi Xu , Wanzhou Zhang , Youjin Deng

The fractal dimensions and the percolation exponents of the geometrical spin clusters of like sign at criticality, are obtained numerically for an Ising model with temperature-dependent annealed bond dilution, also known as the thermalized…

Statistical Mechanics · Physics 2012-04-03 S. Davatolhagh , M. Moshfeghian , A. A. Saberi

We investigate how temperature affects transport through large networks of nonlinear conductances with distributed thresholds. In monolayers of weakly-coupled gold nanocrystals, quenched charge disorder produces a range of local thresholds…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raghuveer Parthasarathy , Xiao-Min Lin , Klara Elteto , T. F. Rosenbaum , Heinrich M. Jaeger

Percolation phenomena of homopolymer brushes on a planar substrate are simulated using the molecular Monte Carlo method in 3 dimensions. The grafted polymers are isolated from each other at extremely low grafting density, whereas a…

Soft Condensed Matter · Physics 2014-02-07 Yuki Norizoe , Hiroshi Jinnai , Atsushi Takahara

For the purpose of applying laws or principles originated from thermal systems to granular athermal systems, we may need to properly define the critical temperature concept in granular powders. The conventional environmental temperature in…

Soft Condensed Matter · Physics 2016-08-03 Tian Hao

Granular packings display the remarkable phenomenon of dilatancy [1], wherein their volume increases upon shear deformation. Conventional wisdom and previous results suggest that dilatancy, as also the related phenomenon of shear-induced…

Statistical Mechanics · Physics 2020-03-20 Varghese Babu , Deng Pan , Yuliang Jin , Bulbul Chakraborty , Srikanth Sastry

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

We apply generalisations of the Swendson-Wang and Wolff cluster algorithms, which are based on the construction of Fortuin-Kasteleyn clusters, to the three-dimensional $\pm 1$ random-bond Ising model. The behaviour of the model is…

Disordered Systems and Neural Networks · Physics 2020-07-22 Hauke Fajen , Alexander K. Hartmann , A. Peter Young

After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

Correlated transition metal oxides present exciting prospects as switches or memory and storage devices owing to the possibility to control electronic properties using various external stimuli. While their complex behaviour is known to stem…

We consider site percolation of dimers (``neadles'') on simple cubic lattice. The percolation threshold is estimated as $p_c^\text{perc} \approx 0.2555 \pm 0.0001$. The jamming threshold is estimated as $p_c^\text{jamm} = 0.799 \pm 0.002$.

Disordered Systems and Neural Networks · Physics 2007-12-04 Yu. Yu. Tarasevich , V. A. Cherkasova

The formation of self-organised structures that resist shear deformation have been discussed in the context of shear jamming and thickening[1-3], with frictional forces playing a key role. However, shear induces geometric features necessary…

Soft Condensed Matter · Physics 2019-01-23 H. A. Vinutha , Srikanth Sastry

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

Soft Condensed Matter · Physics 2015-06-16 Wen-Sheng Xu , Karl F. Freed

Dynamics of a polymer chain in solution gets significantly affected by the temperature and the frictional forces arising due to solvent viscosity. Here, using an explicit solvent framework for polymer simulation with the liberty to tune the…

Soft Condensed Matter · Physics 2024-09-11 Suman Majumder , Henrik Christiansen , Wolfhard Janke