Year: 2019
Type: article
Abstract: We study the mechanical response under time dependent sources of a simple class of holographic models that exhibit viscoelastic features. The ratio of viscosity over elastic modulus defines an intrinsic relaxation timescale---the so-called Maxwell relaxation time ${\ensuremath{\tau}}_{M}$, which has been identified traditionally with the relaxation timescale. We compute explicitly the relaxation time in our examples and find that it differs from ${\ensuremath{\tau}}_{M}$. At high temperatures ${\ensuremath{\tau}}_{M}$ overestimates the actual relaxation time, although not by much and moreover it still captures reasonably well the temperature behavior. At sufficiently low temperatures the situation is reversed: ${\ensuremath{\tau}}_{M}$ underestimates the actual relaxation time, in some cases quite drastically. Moreover, when ${\ensuremath{\tau}}_{M}$ underestimates the real-time response exhibits an overshoot phenomenon before relaxation. We comment on the $T=0$ limit, where the relaxation is power law because our models exhibit criticality.
Authors: Tomas Andrade, Matteo Baggioli, Oriol Pujolàs
Institutions: Institut de Ciències del Cosmos, Universitat de Barcelona
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W2922486243