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General Solutions for Multispin Two-Time Correlation and Response Functions in the Glauber-Ising Chain
Peter Mayer, Peter Sollich
The kinetic Glauber-Ising spin chain is one of the very few exactly solvable models of non-equilibrium statistical mechanics. Nevertheless, existing solutions do not yield tractabl…
Tensorial Constitutive Models for Disordered Foams, Dense Emulsions, and other Soft Nonergodic Materials
M. E. Cates, P. Sollich
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…
Equilibrium phase behavior of polydisperse hard spheres
M. Fasolo, P. Sollich
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 dete…
Fluctuation-dissipation relations in trap models
Peter Sollich
Trap models are intuitively appealing and often solvable models of glassy dynamics. In particular, they have been used to study aging and the resulting out-of-equilibrium fluctuati…
Glassy dynamics in the East model
P. Sollich, M. R. Evans
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 from the kinetic constrain…
Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
Peter Mayer, Ludovic Berthier, Juan P. Garrahan +1
We investigate the relation between two-time, multi-spin, correlation and response functions in the non-equilibrium critical dynamics of Ising models in d=1 and d=2 spatial dimensi…