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An analytical theory for the random close packing density, $\phi_\textrm{RCP}$, of polydisperse hard disks is provided using an equilibrium model of crowding [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] which has been justified on the…

Soft Condensed Matter · Physics 2025-02-17 Alessio Zaccone

We calculate the free volume distributions of nearly jammed packings of monodisperse and bidisperse hard sphere configurations. These distributions differ qualitatively from those of the fluid, displaying a power law tail at large free…

Soft Condensed Matter · Physics 2015-06-17 Moumita Maiti , Srikanth Sastry

In this paper, asymptotic expansions of the distributions and densities of powered extremes for Maxwell samples are considered. The results show that the convergence speeds of normalized partial maxima relies on the powered index.…

Probability · Mathematics 2020-03-10 Jianwen Huang , Xinling Liu , Jianjun Wang , Zhongquan Tan , Jingyao Hou , Hao Pu

The theory of mechanical response and stress transmission in disordered, jammed solids poses several open questions of how non-periodic networks -- apparently indistinguishable from a snapshot of a fluid -- sustain shear. We present a…

Soft Condensed Matter · Physics 2023-01-04 Jishnu N. Nampoothiri , Michael D'Eon , Kabir Ramola , Bulbul Chakraborty , Subhro Bhattacharjee

We revisit the classic problem of the stability of drops and jets held by surface tension, while regarding the compressibility of bulk fluids and spatial dimensions as free parameters. By mode analysis, it is shown that there exists a…

Fluid Dynamics · Physics 2012-05-24 Umpei Miyamoto

We present numerical simulations of the dynamical and chemical evolution of galaxy clusters. X-ray spectra show that the intra-cluster medium contains a significant amount of metals. As heavy elements are produced in the stars of galaxies…

Astrophysics · Physics 2007-05-23 W. Domainko , W. Kapferer , S. Schindler , E. van Kampen , S. Kimeswenger , M. Mair , M. Ruffert

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

Soft Condensed Matter · Physics 2020-02-04 Ruru Li , Daniel Lester

We study a model of rolling particles subject to stochastic fluctuations, which may be relevant in systems of nano- or micro-scale particles where rolling is an approximation for strong static friction. We consider the simplest possible…

Mathematical Physics · Physics 2016-10-04 Miranda Holmes-Cerfon

We propose a theoretical framework for predicting the protocol dependence of the jamming transition for frictionless spherical particles that interact via purely repulsive contact forces. We study isostatic jammed disk packings obtained via…

Soft Condensed Matter · Physics 2016-01-19 T. Bertrand , R. P. Behringer , B. Chakraborty , C. S. O'Hern , M. D. Shattuck

The ideal glass, a disordered system of particles with zero configurational entropy, cannot be realized through thermal processes. Nevertheless, we present a method for constructing ideal jammed packings of soft spheres, and thus the zero…

Soft Condensed Matter · Physics 2026-02-06 Viola Bolton-Lum , R. Cameron Dennis , Peter Morse , Eric Corwin

In soft amorphous solids, localized irreversible (plastic) stress dissipation occurs as a response to external forcings. A crucial question is whether we can identify structural properties linked to a region's propensity to undergo a…

Soft Condensed Matter · Physics 2025-02-24 Anier Hernandez-Garcia

We investigate the jamming transition in a quasi-2D granular material composed of regular pentagons or disks subjected to quasistatic uniaxial compression. We report six major findings based on experiments with monodisperse photoelastic…

In stark contrast to the jamming of frictionless hard-sphere (hard-disk if in two dimensions) packings, the critical jamming of frictional packings is much more elusive and still under intense debate. Here we show that frictional hard-disk…

Soft Condensed Matter · Physics 2021-10-15 Aile Sun , Yinqiao Wang , Yangrui Chen , Jin Shang , Xulai Sun , Jie Zheng , Yujie Wang , Jie Zhang

By minimizing a thermodynamic-like potential, we unbiasedly sample the potential energy landscape of soft and frictionless spheres under constant shear stress. We obtain zero-temperature jammed states under desired shear stresses and…

Soft Condensed Matter · Physics 2015-02-04 Hao Liu , Hua Tong , Ning Xu

In an attempt to extend the range of model jamming transitions, we simulate systems of athermal particles which attract when slightly overlapping. Following from recent work on purely repulsive systems, dynamics are neglected and relaxation…

Soft Condensed Matter · Physics 2007-05-23 D. A. Head

We theoretically study the nematic ordering transition of rods that are able to elastically adjust their mutually excluded volumes. The model rods, which consist of a hard core surrounded by a deformable shell, mimic the structure of…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij , P. van der Schoot

The mesoscopic properties of a plasma in a cylindrical magnetic field are investigated from the view point of test-particle dynamics. When the system has enough time and spatial symmetries, a Hamiltonian of a test particle is completely…

Plasma Physics · Physics 2019-09-19 Shun Ogawa , Xavier Leoncini , Alexei Vasiliev , Xavier Garbet

We consider distributions of ordered random vectors with given one-dimensional marginal distributions. We give an elementary necessary and sufficient condition for the existence of such a distribution with finite entropy. In this case, we…

Statistics Theory · Mathematics 2015-09-08 Cristina Butucea , Jean-François Delmas , Anne Dutfoy , Richard Fischer

The asymptotic results that underlie applications of extreme random fields often assume that the variables are located on a regular discrete grid, identified with $\mathbb{Z}^2$, and that they satisfy stationarity and isotropy conditions.…

Probability · Mathematics 2015-09-03 Helena Ferreira , Luísa Pereira , Ana Paula Martins

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The…

Analysis of PDEs · Mathematics 2026-04-03 Ansgar Jüngel , Cordula Reisch , Sara Xhahysa
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