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2014

A Stochasticity Threshold in Holography and and the Instability of AdS

Basu, Pallab, Krishnan, Chethan, Saurabh, Ayush

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We give strong numerical evidence that a self-interacting probe scalar field in AdS, with only a few modes turned on initially, will undergo fast thermalization only if it is above a certain energetic threshold.

Below the threshold the energy stays close to constant in a few modes for a very long time instead of cascading quickly.
This indicates the existance of a Strong Stochasticity Threshold (SST) in holography.
The idea of SST is familiar from certain statistical mechanical systems, and we suggest that it exists also in AdS gravity.

A Stochasticity Threshold in Holography and and the Instability of AdS · Around

Built on

F. Izrailev and B. Chirikov, Statistical properties of a nonlinear string
1966
Earlier work this paper cites.
M. Pettini and M. Landolfi, Relaxation properties and ergodicity breaking in nonlinear hamiltonian dynamics
1990
Earlier work this paper cites.
M. Pettini and M. Cerruti-Sola, Strong stochasticity threshold in nonlinear large hamiltonian systems: Effect on mixing times
1991
Earlier work this paper cites.

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Then

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