Viscoelastic Dynamics in Holography

Understand

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 time scale -- the so-called Maxwell relaxation time $\tau_M$, which has been identified traditionally with the relaxation time scale.
• We compute explicitly the relaxation time in our examples and that it differs from $\tau_M$.
• At high temperatures $\tau_M$ over-estimates the actual relaxation time, although not by much and moreover it still captures reasonably well the temperature behaviour.