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This work presents a unified viscoelastic-viscoplastic continuum framework for modeling rate-dependent granular flows across regimes. The formulation incorporates two distinct rate-dependent mechanisms, namely micro-inertia and viscoelastic…

Soft Condensed Matter · Physics 2026-04-28 Bodhinanda Chandra , Sachith Dunatunga , Ken Kamrin

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

We construct a three-dimensional lattice model for biological gels in which straight lines of bonds correspond to filamentous semi-flexible polymers and lattice sites, which are exactly four-fold coordinated, to crosslinks. With only…

Soft Condensed Matter · Physics 2011-08-23 Olaf Stenull , T. C. Lubensky

Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components with diverse dynamics whose interactions drive the system's…

Quantitative Methods · Quantitative Biology 2012-01-09 Matthew R. Francis , Elana J. Fertig

We combine experiments with simulations to investigate the fluid-structure interaction of a flexible helical rod rotating in a viscous fluid, under low Reynolds number conditions. Our analysis takes into account the coupling between the…

Soft Condensed Matter · Physics 2015-10-28 M. K. Jawed , N. K. Khouri , F. Da , E. Grinspun , P. M. Reis

The thermodynamics and dynamics of supercooled liquids correlate with their elasticity. In particular for covalent networks, the jump of specific heat is small and the liquid is {\it strong} near the threshold valence where the network…

Disordered Systems and Neural Networks · Physics 2015-09-02 Le Yan , Matthieu Wyart

The dynamics of active matter driven by interacting molecular motors has a non-potential structure at the local scale. However, we show that there exists a quasi-potential effectively describing the collective self-organization of the…

Biological Physics · Physics 2022-06-15 Haythem Chelly , Pierre Recho

Although fully elastic when static, granular media become transiently elastic when being slowly sheared -- during which both the elastic energy and stress relax. Starting from this observation, we cogently derive the framework for granular…

Soft Condensed Matter · Physics 2007-06-12 Yimin Jiang , Mario Liu

We analyze the collective behavior of hydrodynamically coupled molecular motors. We show that the local fluxes induced by motors displacement can induce the experimentally observed bidirectional motion of cargoes and vesicles. By means of a…

Soft Condensed Matter · Physics 2017-11-22 P. Malgaretti , I. Pagonabarraga , J. F. Joanny

The cell cytoskeleton is a striking example of "active" medium driven out-of-equilibrium by ATP hydrolysis. Such activity has been shown recently to have a spectacular impact on the mechanical and rheological properties of the cellular…

Statistical Mechanics · Physics 2015-05-13 C. Loverdo , O. Benichou , M. Moreau , R. Voituriez

Motivated by the unique physical properties of {\em biological active matter}, e.g., cytoskeletal dynamics in eukaryotic cells, we set up {\em effective} two-dimensional (2d) coarse-grained hydrodynamic equations for the dynamics of thin…

Statistical Mechanics · Physics 2011-06-08 Niladri Sarkar , Abhik Basu

We analyze a simple stochastic model to describe motor molecules which cooperate in large groups and present a physical mechanism which can lead to oscillatory motion if the motors are elastically coupled to their environment. Beyond a…

Soft Condensed Matter · Physics 2009-10-28 Frank Julicher , Jacques Prost

We review the physical properties of macromolecular networks, consisting of semiflexible polymers such as actin. We start by giving a theoretical analysis of the conformational statistics and mechanical response of single filaments.…

Soft Condensed Matter · Physics 2008-02-03 Erwin Frey , Klaus Kroy , Jan Wilhelm , Erich Sackmann

We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the…

Soft Condensed Matter · Physics 2011-01-10 Bing-Sui Lu , Fangfu Ye , Xiangjun Xing , Paul M. Goldbart

In the perspective of developing smart hybrid materials with customized features, ferrogels and magnetorheological elastomers allow a synergy of elasticity and magnetism. The interplay between elastic and magnetic properties gives rise to a…

Soft Condensed Matter · Physics 2016-10-12 Giorgio Pessot , Hartmut Löwen , Andreas M. Menzel

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

Soft Condensed Matter · Physics 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

Soft Condensed Matter · Physics 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to…

Soft Condensed Matter · Physics 2025-03-26 Matthew G. Hennessy , Tom Shearer , Axel C. Moore

Starting from a three-dimensional description of an active nematic layer, we employ an asymptotic theory to derive a series of low-dimensional continuum models that capture the coupled dynamics of flat and curved films, including variations…

Soft Condensed Matter · Physics 2025-06-23 Mehrana R. Nejad , L. Mahadevan

In this paper we will investigate dynamic stability of percolation for the stochastic Ising model and the contact process. We also introduce the notion of downward and upward $\epsilon$-movability which will be a key tool for our analysis.

Probability · Mathematics 2007-05-23 Erik I. Broman , Jeffrey E. Steif