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cond-mat.stat-mech2002★ 17 cited
Statistical-mechanical formulation of Lyapunov exponents
Sorin Tanase-Nicola, Jorge Kurchan
We show how the Lyapunov exponents of a dynamic system can in general be expressed in terms of the free energy of a (non-Hermitian) quantum many-body problem. This puts their study…
cond-mat.stat-mech2002★ 24 cited
Supersymmetry, replica and dynamic treatments of disordered systems: a parallel presentation
Jorge Kurchan
I briefly review the three nonperturbative methods for the treatment of disordered systems -- supersymmetry, replicas and dynamics -- with a parallel presentation that highlights t…
cond-mat.stat-mech2002★ 4 cited
Tailoring symmetry groups using external alternate fields
I. Junier, J. Kurchan
Macroscopic systems with continuous symmetries subjected to oscillatory fields have phases and transitions that are qualitatively different from their equilibrium ones. Depending o…