Shear banding, aging and noise dynamics in soft glassy materials (2008)
Fielding, S M, Cates, M E, Sollich, P
The `soft glassy rheology' (SGR) model gives an appealing account of the flow of nonergodic soft materials in terms of the local yield dynamics of mesoscopic elements. Newtonian, power-law, and...
Subdiffusive motion in kinetically constrained models (2008)
Jack, Robert L., Sollich, P., Mayer, P.
We discuss a kinetically constrained model in which real-valued local densities fluctuate in time, as introduced recently by Bertin, Bouchaud, and Lequeux. We show how the phenomenology of this model...
Zoubin Ghahramani, Thomas L. Griffiths, Peter Sollich, Z. Ghahramani, T. L. Griffiths, P. Sollich
We describe a flexible nonparametric approach to latent variable modelling in which the number of latent variables is unbounded. This approach is based on a probability distribution over equivalence...
RHEOLOGY AND GLASSY DYNAMICS OF FOAMS (2007)
Abstract. After a brief `warm-up ' discussion of osmotic pressure of foams, the basic phenomena of foam rheology are reviewed, focusing on linear viscoelastic spectra (elastic and loss moduli)...
P.: Bayesian nonparametric latent feature models (2007)
Z. Ghahramani, P. Sollich, T. L. Griffiths
We thank Dr. Dunson for a stimulating discussion of our paper. In his discussion, Dunson makes several comments about our paper, and then proposes an alternative approach to sparse latent feature...
We study the out-of-equilibrium dynamics of the spherical ferromagnet after a quench to its critical temperature. We calculate correlation and response functions for spin observables which probe...
Universality of Fluctuation-Dissipation Ratios: The Ferromagnetic Model (2005)
Garriga, A., Sollich, P., Pagonabarraga, I., Ritort, F.
We calculate analytically the fluctuation-dissipation ratio (FDR) for Ising ferromagnets quenched to criticality, both for the long-range model and its short-range analogue in the limit of large...
Heterogeneous dynamics of coarsening systems (2005)
Mayer, P., Bissig, Hugo, Berthier, L., Cipelletti, L., Garrahan, J. P., Sollich, P., ...
We show by means of experiments, theory, and simulations that the slow dynamics of coarsening systems displays dynamic heterogeneity similar to that observed in glass-forming systems. We measure...
Heterogeneous dynamics of coarsening systems (2005)
Mayer, P., Bissig, Hugo, Berthier, L., Cipelletti, L., Garrahan, J. P., Sollich, P., ...
We show by means of experiments, theory, and simulations that the slow dynamics of coarsening systems displays dynamic heterogeneity similar to that observed in glass-forming systems. We measure...
Glass transitions and shear thickening suspension rheology (2005)
Holmes, C. B., Cates, Michael E., Fuchs, Matthias, Sollich, P.
We introduce a class of simple models for shear thickening and/or "jamming" in colloidal suspensions. These are based on the schematic mode coupling theory (MCT) of the glass transition, having a...
Effects of colloid polydispersity on the phase behaviour of colloid-polymer mixtures (2004)
We study theoretically the equilibrium phase behaviour of a mixture of polydisperse hard-sphere colloids and monodisperse polymers, modelled using the Asakura-Oosawa model within the free volume...
Glass transitions and shear thickening suspension rheology (2004)
Holmes, C B, Cates, M E, Fuchs, M, Sollich, P
We introduce a class of simple models for shear thickening and/ or `jamming' in colloidal suspensions. These are based on schematic mode coupling theory (MCT) of the glass transition, having a memory...
Fractionation effects in phase equilibria of polydisperse hard sphere colloids (2004)
The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy...
In recent years, the paradigm of `soft glassy matter' has been used to describe diverse nonergodic materials exhibiting strong local disorder and slow mesoscopic rearrangement. As so far formulated,...
Equilibrium phase behavior of polydisperse hard spheres (2003)
We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of...
Glassy dynamics in the East model (2003)
We study the dynamics of the East model, comprising a chain of uncoupled spins in a downward-pointing field. Glassy effects arise at low temperatures $T$ from the kinetic constraint that spins can...
Equivalence of driven and aging fluctuation-dissipation relations in the trap model (2003)
We study the nonequilibrium version of the fluctuation-dissipation (FD) relation in the glass phase of a trap model that is driven into a nonequilibrium steady state by external "shear." This extends...
Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems (2002)
Sollich, P., Fielding, S.M., Mayer, P.
We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in...
Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems (2001)
Sollich, P, Fielding, S, Mayer, P
We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in...
Exact Solution of the Infinite-Range Quantum Mattis Model (2000)
Sollich, P., Nishimori, Hidetoshi, Coolen, A. C. C., Van Der Sijs, A. J.
We have solved the quantum version of the Mattis model with infinite-range interactions. A variational approach gives the exact solution for the infinite-range system, in spite of the non-commutative...
Ageing and rheology in soft materials (2000)
We study theoretically the role of aging in the rheology of soft materials. We define several generalized rheological response functions suited to aging samples (in which time translation invariance...
Ageing and Rheology in Soft Materials (1999)
Fielding, S. M., Sollich, P., Cates, M. E.
We study theoretically the role of ageing in the rheology of soft materials. We define several generalized rheological response functions suited to ageing samples (in which time translation...
Diffusion and rheology in a model of glassy materials (1999)
Evans, R. M. L., Cates, M. E., Sollich, P.
We study self-diffusion within a simple hopping model for glassy materials. (The model is Bouchaud's model of glasses [J.-P. Bouchaud, J. Physique I 2, 1705 (1992)], as extended to describe...
On-line learning with restricted training sets: An exactly solvable case (1999)
We solve the dynamics of on-line Hebbian learning in large perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We consider both noiseless...
Ageing and Rheology in Soft Materials (1999)
S.M. Fielding, P. Sollich, M.E. Cates
We study theoretically the role of ageing in the rheology of soft materials.
We solve the dynamics of on-line Hebbian learning in perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We consider both noiseless and...
On-Line Learning with Restricted Training Sets: An Exactly Solvable Case (1998)
Rae, H. C., Sollich, P., Coolen, A. C. C.
We solve the dynamics of on-line Hebbian learning in large perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We consider both noiseless...