We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to shared features structural disorder and metastability. A generic model for mesoscopic dynamics ``soft glassy matter'' is introduced, with interactions represented by a mean-field noise temperature x. find power law fluid behavior either (x<1) or without (1<x<2) yield stress. For 1<x<2, both storage loss modulus vary frequency as $\omega^{x-1}$, becoming flat near glass transition (x=1)....

We solve exactly and describe in detail a simplified scalar model for the low frequency shear rheology of foams, emulsions, slurries, etc. [P. Sollich, F. Lequeux, P. H\'ebraud, M. E. Cates, Phys. Rev. Lett. 78, 2020 (1997)]. The attributes similarities such ``soft glassy materials'' to shared features structural disorder metastability. By focusing on dynamics mesoscopic elements, it retains generic character. Interactions are represented by mean-field noise temperature $x$, with glass...

We review the use of kinetically constrained models (KCMs) for study dynamics in glassy systems. The characteristic feature KCMs is that they have trivial, often non-interacting, equilibrium behaviour but interesting slow due to restrictions on allowed transitions between configurations. basic question which ask therefore how much physics can be understood without an underlying ``equilibrium glass transition''. After a brief phenomenology, we describe main model classes, include...

We explore numerically the shear rheology of soft repulsive particles at large volume fraction. The interplay between viscous dissipation and thermal motion results in multiple rheological regimes encompassing Newtonian, shear-thinning, yield stress near "colloidal" glass transition when fluctuations are important, crossing over to qualitatively similar "jamming" dominates. In crossover regime, jamming sectors coexist give complex flow curves. Although limits characterized by macroscopic...

We present a novel scheme to accurately predict atomic forces as vector quantities, rather than sets of scalar components, by Gaussian process (GP) regression. This is based on matrix-valued kernel functions, which we impose the requirements that predicted force rotates with target configuration and independent any rotations applied database entries. show such covariant GP kernels can be obtained integration over elements rotation group $\mathit{SO}(d)$ for relevant dimensionality $d$....

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation S. M. Fielding, P. Sollich, E. Cates; Aging rheology in soft materials. J. Rheol. 1 March 2000; 44 (2): 323–369. https://doi.org/10.1122/1.551088 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Dropdown Menu input auto suggest filter...

We consider ensembles of trajectories associated with large deviations time-integrated quantities in stochastic models. Motivated by proposals that these are relevant for physical processes such as shearing and glassy relaxation, we show how they can be generated directly using auxiliary processes. illustrate our results the Glauber-Ising chain, which biased exhibit ferromagnetic ordering. discuss relation between quantum phase transitions.

We analyse biased ensembles of trajectories for diffusive systems. In either by the total activity or current, we use fluctuating hydrodynamics to show that these systems exhibit phase transtions into `hyperuniform' states, where large-wavelength density fluctuations are strongly suppressed. illustrate this behaviour numerically a system hard particles in one dimension and discuss how it appears simple exclusion processes. argue generically respond very any non-zero bias, so homogeneous...

ABSTRACT During development, gene regulatory networks allocate cell fates by partitioning tissues into spatially organised domains of expression. How the sharp boundaries that delineate these expression patterns arise, despite stochasticity associated with regulation, is poorly understood. We show, in vertebrate neural tube, using perturbations coding and regions, structure network contributes to boundary precision. This achieved, not reducing noise individual genes, but configuration...

Abstract In active matter, particles typically experience mediated interactions, which are not constrained by Newton’s third law and therefore generically non-reciprocal. Non-reciprocity leads to a rich set of emerging behaviors that hard account for starting from the microscopic scale, due absence generic theoretical framework out equilibrium. Here we consider bacterial mixtures interact via mediated, non-reciprocal interactions (NRI) like quorum-sensing chemotaxis. By explicitly relating...

Within the context of learning a rule from examples, we study general characteristics with ensembles. The generalization performance achieved by simple model ensemble linear students is calculated exactly in thermodynamic limit large number input components and shows surprisingly rich behavior. Our main findings are following. For ensembles, it advantageous to use underregularized students, which actually overfit training data. Globally optimal can be obtained choosing set sizes optimally....

We use specialized Monte Carlo simulation methods and moment free energy calculations to provide conclusive evidence that dense polydisperse spheres at equilibrium demix into coexisting fcc phases, with more phases appearing as the spread of diameters increases. manage track up four phases. Each these is fractionated: it contains a narrower distribution particle sizes than present in system overall. also demonstrate that, surprisingly, demixing transitions can be nearly continuous,...

We analyze the large scale structure and fluctuations of jammed packings size disperse spheres, produced in a granular experiment as well numerically. While factor reveals no unusual behavior for small wavevectors, compressibility displays an anomalous linear dependence at low wavectors vanishes when q -> 0. show that such occurs because spheres have bulk volume fraction are thus hyperuniform, property not observed experimentally before. Our results apply to arbitrary particle distributions....

We review some of the techniques used to study dynamics disordered systems subject both quenched and fast (thermal) noise. Starting from Martin-Siggia-Rose path integral formalism for a single variable stochastic dynamics, we provide pedagogical survey perturbative, i.e. diagrammatic, approach how this can be studying soft spin models. supersymmetric formulation Langevin these models discuss physical implications supersymmetry. also describe key steps involved in disorder-averaged dynamics....

The shear rheology of soft particle systems becomes complex at large density because crowding effects may induce a glass transition for Brownian particles or jamming non-Brownian systems. Here we successfully explore the hypothesis that stress contributions from and physics are 'additive'. We show experimental flow curves measured in variety materials (colloidal hard spheres, microgel suspensions, emulsions, aqueous foams) as well numerical obtained repulsive both thermal athermal limits...

This paper studies the connection between Hopfield networks and restricted Boltzmann machines, two common tools in developing area of machine learning. The work focuses on behavior models whose variables are either discrete binary or take a range continuous values. authors find large degree robustness retrieval capabilities models, especially when number stored patterns is small.

Emergent nonreciprocal interactions violating Newton's third law are widespread in out-of-equilibrium systems. Phase separating mixtures with such exhibit traveling states no equilibrium counterpart. Using extensive Brownian dynamics simulations, we investigate the existence and stability of a generic particle system. By varying broad range parameters including aggregate state mixture components, diffusivity, degree nonreciprocity, effective spatial dimension density, determine that do exist...

We analyze the out-of-equilibrium behavior of an Ising spin chain with asymmetric kinetic constraint after a quench to low temperature $T$. In limit $T\ensuremath{\rightarrow}0$, we provide exact solution resulting coarsening process. The equilibration time exhibits ``glassy'' divergence ${t}_{\mathrm{eq}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\mathrm{exp}(\mathrm{const}/{T}^{2})$ (popular as alternative Vogel-Fulcher law), while average domain length grows temperature-dependent...

Many materials containing colloids or polymers are polydisperse: they comprise particles with properties (such as particle diameter, charge, polymer chain length) that depend continuously on one several parameters. This review focuses the theoretical prediction of phase equilibria in polydisperse systems; presence an effectively infinite number distinguishable species makes this a highly non-trivial task. I first describe qualitatively some novel features behaviour, and outline framework...