Biomedical subjects
JP Garrahan
Publications and source records attributed to JP Garrahan.
Glassiness and constrained dynamics of a short-range nondisordered spin model
We study the low temperature dynamics of a two-dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the "hierarchically constrained dynamics" scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behavior of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response.
Continuous time dynamics of the thermal minority game
We study the continuous time dynamics of the thermal minority game. We find that the dynamical equations of the model reduce to a set of stochastic differential equations for an interacting disordered system with nontrivial random diffusion. This is the simplest microscopic description which accounts for all the features of the system. Within this framework, we study the phase structure of the model and find that its macroscopic properties strongly depend on the initial conditions.
Lagrangian Becchi-Rouet-Stora-Tyutin treatment of collective coordinates.
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Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1 dimensions.
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