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The similarity in atomic structure between liquids and glasses has stimulated a long-standing hypothesis that the nature of glasses may be more fluid like, rather than an apparent solid. In principle, the nature of glasses can be…

Disordered Systems and Neural Networks · Physics 2022-02-03 Shuangxi Song , Fan Zhu , Mingwei Chen

Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices, all of these models assume central-force interactions between…

Soft Condensed Matter · Physics 2016-01-14 M. Schlegel , J. Brujic , E. M. Terentjev , A. Zaccone

Experiments show that all the derivatives of the thermo-physical variables are nearly constant. The constant value of the derivatives indicates linear relationship between the variables. Neither the volume coefficient of thermal expansion…

Chemical Physics · Physics 2007-05-23 Jozsef Garai

We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist one requires all the elastic coefficients, linear and nonlinear, to attain a finite…

Statistical Mechanics · Physics 2015-05-20 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The complex shear modulus of solid $^4$He exhibits an anomaly in the same temperature region where torsion oscillators show a change in period. We propose that the observed stiffening of the shear modulus with decreasing temperature can be…

Statistical Mechanics · Physics 2012-12-06 Jung-Jung Su , Matthias J. Graf , Alexander V. Balatsky

We consider models for elastic liquids, such as solutions of flexible polymers. They introduce a relaxation time $\lambda$ into the system, over which stresses relax. We study the kinematics of the problem, and clarify the relationship…

Fluid Dynamics · Physics 2021-03-17 J. H. Snoeijer , A. Pandey , M. A. Herrada , J. Eggers

The temperature dependence of DNA flexibility is studied in the presence of stretching and unzipping forces. Two classes of models are considered. In one case the origin of elasticity is entropic due to the polymeric correlations, and in…

Soft Condensed Matter · Physics 2016-06-27 Tanmoy Pal , Somendra M. Bhattacharjee

Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic…

Fluid Dynamics · Physics 2024-04-24 Rahul K. Singh , Prasad Perlekar , Dhrubaditya Mitra , Marco E. Rosti

We studied the rheological behavior of a molecular solution composed of $\alpha$-cyclodextrin, water and 4-methylpyridine, a liquid known to undergo inverse melting, at different temperatures and concentrations. The system shows a marked…

Soft Condensed Matter · Physics 2009-09-17 R. Angelini , G. Salvi , G. Ruocco

We propose and analyze a mathematical model of the mechanics of gels, consisting of the laws of balance of mass and linear momentum. We consider a gel to be an immiscible and incompressible mixture of a nonlinearly elastic polymer and a…

Analysis of PDEs · Mathematics 2012-10-17 Brandon Chabaud , Maria-Carme Calderer

In the conventional BCS description of a superconductor the kinetic energy increases in the superconducting state. We describe the observed decrease in kinetic energy by adopting a simple model of electrons whose elastic scattering rate…

Superconductivity · Physics 2009-11-11 Frank Marsiglio

Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern. In this…

Soft Condensed Matter · Physics 2013-08-20 Sumantra Sarkar , Dapeng Bi , Jie Zhang , R. P. Behringer , Bulbul Chakraborty

We study the elasticity of thermalized spring networks under an applied bulk strain. The networks considered are sub-isostatic random-bond networks that, in the athermal limit, are known to have vanishing bulk and linear shear moduli at…

Soft Condensed Matter · Physics 2015-10-28 Manon C. Wigbers , Fred C. MacKintosh , Matthew Dennison

We study theoretically using scaling arguments the behavior of polyelectrolyte gels in poor solvents. Following the classical picture of Katchalsky, our approach is based on single chain elasticity but it accounts for the recently proposed…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

We examine how the distribution of contour lengths and the high-stretch stiffening of individual chain segments affect the macroscopic shear modulus of flexible polymer gels, using a 2D numerical model, in which polymer segments form a…

Soft Condensed Matter · Physics 2017-03-15 Christiane Caroli , Anaël Lemaître

We use computer simulations to study the (driven) dynamics of a charged polymer in a disordered medium, thus mimicking the setting used in gel electrophoresis. In agreement with experiments, we find that inside the gel the mobility of the…

Statistical Mechanics · Physics 2007-05-23 Walter Kob , Leticia F. Cugliandolo

The transport coefficients of strongly interacting matter are currently subject of intense theoretical and phenomenological studies due to their relevance for the characterization of the quark-gluon plasma produced in ultra relativistic…

High Energy Physics - Phenomenology · Physics 2015-05-05 A. Puglisi , S. Plumari , V. Greco

Failure of amorphous materials is characterized by the emergence of dissipation. The connection between particle dynamics, dissipation, and overall material rheology, however, has still not been elucidated. Here, we take a new approach…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , D. J. Jerolmack , P. E. Arratia

The holographic duality has proven successful in linking seemingly unrelated problems in physics.Recently, intriguing correspondences between the physics of soft matter and gravity are emerging,including strong similarities between the…

Soft Condensed Matter · Physics 2022-06-07 Deng Pan , Teng Ji , Matteo Baggioli , Li Li , Yuliang Jin

Results of torsional oscillation tests are reported that were performed at the temperature T=230C on melts of a hybrid nanocomposite consisting of isotactic polypropylene reinforced with 5 wt.% of montmorillonite clay. Prior to mechanical…

Materials Science · Physics 2007-05-23 A. D. Drozdov , A. Al-Mulla , D. A. Drozdov , R. K. Gupta