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Deblocking of interacting particle assemblies: from pinning to jamming
Miguel, M.-Carmen;Andrade Jr., José S.;Zapperi, Stefano;
Brazilian Journal of Physics , 2003, DOI: 10.1590/S0103-97332003000300017
Abstract: a wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. the origin of this deblocking transition can be traced back to the presence of either external quenched disorder, or of internal constraints. the first case belongs to the realm of the depinning transition, which, for example, is relevant for flux-lines in type ii superconductors and other elastic systems moving in a random medium. the second case is usually included within the so-called jamming scenario observed, for instance, in many glassy materials as well as in plastically deforming crystals. here we review some aspects of the rich phenomenology observed in interacting particle models. in particular, we discuss front depinning, observed when particles are injected inside a random medium from the boundary, elastic and plastic depinning in particle assemblies driven by external forces, and the rheology of systems close to the jamming transition. we emphasize similarities and differences in these phenomena.
Deblocking of interacting particle assemblies: from pinning to jamming  [cached]
Miguel M.-Carmen,Andrade Jr. José S.,Zapperi Stefano
Brazilian Journal of Physics , 2003,
Abstract: A wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. The origin of this deblocking transition can be traced back to the presence of either external quenched disorder, or of internal constraints. The first case belongs to the realm of the depinning transition, which, for example, is relevant for flux-lines in type II superconductors and other elastic systems moving in a random medium. The second case is usually included within the so-called jamming scenario observed, for instance, in many glassy materials as well as in plastically deforming crystals. Here we review some aspects of the rich phenomenology observed in interacting particle models. In particular, we discuss front depinning, observed when particles are injected inside a random medium from the boundary, elastic and plastic depinning in particle assemblies driven by external forces, and the rheology of systems close to the jamming transition. We emphasize similarities and differences in these phenomena.
Deblocking of interacting particle assemblies: from pinning to jamming  [PDF]
M. -Carmen Miguel,Jose S. Andrade Jr.,Stefano Zapperi
Physics , 2003,
Abstract: A wide variety of interacting particle assemblies driven by an external force are characterized by a transition between a blocked and a moving phase. The origin of this deblocking transition can be traced back to the presence of either external quenched disorder, or of internal constraints. The first case belongs to the realm of the depinning transition, which, for example, is relevant for flux-lines in type II superconductors and other elastic systems moving in a random medium. The second case is usually included within the so-called jamming scenario observed, for instance, in many glassy materials as well as in plastically deforming crystals. Here we review some aspects of the rich phenomenology observed in interacting particle models. In particular, we discuss front depinning, observed when particles are injected inside a random medium from the boundary, elastic and plastic depinning in particle assemblies driven by external forces, and the rheology of systems close to the jamming transition. We emphasize similarities and differences in these phenomena.
Jamming, Yielding and Rheology of Weakly Vibrated Granular Media  [PDF]
J. A. Dijksman,G. H. Wortel,L. T. H. van Dellen,O. Dauchot,M. van Hecke
Physics , 2011, DOI: 10.1103/PhysRevLett.107.108303
Abstract: We establish that the rheological curve of dry granular media is non-monotonic, both in the presence and absence of external mechanical agitations. In the presence of weak vibrations, the non-monotonic flow curves govern a hysteretic transition between slow but steady and fast, inertial flows. In the absence of vibrations, the non-monotonic flow curve governs the yielding behavior of granular media. Finally, we show that non-monotonic flow curves can be seen in at least two different flow geometries and for several granular materials.
Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity  [PDF]
M van Hecke
Physics , 2009, DOI: 10.1088/0953-8984/22/3/033101
Abstract: Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we review the current understanding of the transition to jamming and the nature of the jammed state for disordered packings of particles that act through repulsive contact interactions and are at zero temperature and zero shear stress. We first discuss the breakdown of affine assumptions that underlies the rich mechanics near jamming. We then extensively discuss jamming of frictionless soft spheres. At the jamming point, these systems are marginally stable (isostatic) in the sense of constraint counting, and many geometric and mechanical properties scale with distance to this jamming point. Finally we discuss current explorations of jamming of frictional and non-spherical (ellipsoidal) particles. Both friction and asphericity tune the contact number at jamming away from the isostatic limit, but in opposite directions. This allows one to disentangle distance to jamming and distance to isostaticity. The picture that emerges is that most quantities are governed by the contact number and scale with distance to isostaticity, while the contact number itself scales with distance to jamming.
The Jamming Perspective on Wet Foams  [PDF]
Gijs Katgert,Brian P. Tighe,Martin van Hecke
Physics , 2011,
Abstract: Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can {\em jam} into a rigid, disordered state where they withstand finite shear stresses before yielding. The jamming transition has been studied extensively, in particular in computer simulations of frictionless, soft, purely repulsive spheres. Foams and emulsions are the closest realizations of this model, and in foams, the (un)jamming point corresponds to the wet limit, where the bubbles become spherical and just form contacts. Here we sketch the relevance of the jamming perspective for the geometry and flow of foams --- and also discuss the impact that foams studies may have on theoretical studies on jamming. We first briefly review insights into the crucial role of disorder in these systems, culminating in the breakdown of the affine assumption that underlies the rich mechanics near jamming. Second, we discuss how crucial theoretical predictions, such as the square root scaling of contact number with packing fraction, and the nontrivial role of disorder and fluctuations for flow have been observed in experiments on 2D foams. Third, we discuss a scaling model for the rheology of disordered media that appears to capture the key features of the flow of foams, emulsions and soft colloidal suspensions. Finally, we discuss how best to confront predictions of this model with experimental data.
Effective temperature and jamming transition in dense, gently sheared granular assemblies  [PDF]
Fabricio Q. Potiguar,Hernan A. Makse
Physics , 2005, DOI: 10.1140/epje/e2006-00017-4
Abstract: We present extensive computational results for the effective temperature, defined by the fluctuation-dissipation relation between the mean square displacement and the average displacement of grains, under the action of a weak, external perturbation, of a sheared, bi-disperse granular packing of compressible spheres. We study the dependence of this parameter on the shear rate and volume fractions, the type of particle and the observable in the fluctuation-dissipation relation. We find the same temperature for different tracer particles in the system. The temperature becomes independent on the shear rate for slow enough shear suggesting that it is the effective temperature of the jammed packing. However, we also show that the agreement of the effective temperature for different observables is only approximate, for very long times, suggesting that this defintion may not capture the full thermodynamics of the system. On the other hand, we find good agreement between the dynamical effective temperature and a compactivity calculated assuming that all jammed states are equiprobable. Therefore, this definition of temperature may capture an instance of the ergodic hypothesis for granular materials as proposed by theoretical formalisms for jamming. Finally, our simulations indicate that the average shear stress and apparent shear viscosity follow the usual relation with the shear rate for complex fluids. Our results show that the application of shear induces jamming in packings whose particles interact by tangential forces.
Experiments in randomly agitated granular assemblies close to the jamming transition  [PDF]
G. Caballero,A. Lindner,G. Ovarlez,G. Reydellet,J. Lanuza,E. Clement
Physics , 2004, DOI: 10.1088/0953-8984/17/24/009
Abstract: We present here the preliminary results obtained for two experiments on randomly agitated granular assemblies using a novel way of shaking. First we discuss the transport properties of a 2D model system undergoing classical shaking that show the importance of large scale dynamics for this type of agitation and offer a local view of the microscopic motions of a grain. We then develop a new way of vibrating the system allowing for random accelerations smaller than gravity. Using this method we study the evolution of the free surface as well as results from a light scattering method for a 3D model system. The final aim of these experiments is to investigate the ideas of effective temperature on the one hand as a function of inherent states and on the other hand using fluctuation dissipation relations.
Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions  [PDF]
Pinaki Chaudhuri,Ludovic Berthier,Srikanth Sastry
Physics , 2009, DOI: 10.1103/PhysRevLett.104.165701
Abstract: We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the jamming volume fraction which is sharply defined in the limit of large system size, but is different for each protocol. Thus, we directly establish the existence of a continuous range of volume fraction where nonequilibrium jamming transitions occur. However, these jamming transitions share the same critical behaviour. Our results suggest that, even in the absence of partial crystalline ordering, a unique location of a random close packing does not exist, and that volume fraction alone is not sufficient to describe the properties of jammed states.
Active Matter Transport and Jamming on Disordered Landscapes  [PDF]
C. Reichhardt,C. J. Olson Reichhardt
Physics , 2014, DOI: 10.1103/PhysRevE.90.012701
Abstract: We numerically examine the transport of active run-and-tumble particles driven with a drift force over random disordered landscapes comprised of fixed obstacles. For increasing run lengths, the net particle transport initially increases before reaching a maximum and decreasing at larger run lengths. The transport reduction is associated with the formation of cluster or living crystal states that become locally jammed or clogged by the obstacles. We also find that the system dynamically jams at lower particle densities when the run length is increased. Our results indicate that there is an optimal activity level for active matter transport through quenched disorder, and could be important for understanding biological transport in complex environments or for applications of active matter particles in random media.
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