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Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
Patrick Charbonneau, Jorge Kurchan, Giorgio Parisi +2
In the first part of this paper, we derive the general replica equations that describe infinite-dimensional hard spheres at any level of replica symmetry breaking (RSB) and in part…
Stochastic perturbation of integrable systems: a window to weakly chaotic systems
Khanh-Dang Nguyen Thu Lam, Jorge Kurchan
Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov instability, and are hence chaotic, for any amplitude of the perturbation. This phenomenon…
Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
Jorge Kurchan, Giorgio Parisi, Pierfrancesco Urbani +1
We consider the theory of the glass phase and jamming of hard spheres in the large space dimension limit. Building upon the exact expression for the free-energy functional obtained…
Nonequilibrium glass transitions in driven and active matter
Ludovic Berthier, Jorge Kurchan
The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of…
Large deviations of Lyapunov exponents
Tanguy Laffargue, Khanh-Dang Nguyen Thu Lam, Jorge Kurchan +1
Generic dynamical systems have `typical' Lyapunov exponents, measuring the sensitivity to small perturbations of almost all trajectories. A generic system has also trajectories wit…