Holographic Viscoelastic Hydrodynamics

TL;DR

This paper uses holographic duality to explore the complete hydrodynamic behavior of relativistic viscoelastic materials, bridging fluid and solid properties with a focus on their effective field theories.

Contribution

It introduces a holographic approach to analyze all-order hydrodynamics of relativistic viscoelastic media, addressing convergence issues in traditional theories.

Findings

Holographic methods reveal the full hydrodynamic spectrum of viscoelastic materials.

The study uncovers the interplay between fluid and solid characteristics in relativistic regimes.

Results suggest new insights into the effective field theories of complex materials.

Abstract

Relativistic fluid hydrodynamics, organized as an effective field theory in the velocity gradients, has zero radius of convergence due to the presence of non-hydrodynamic excitations. Likewise, the theory of elasticity of brittle solids, organized as an effective field theory in the strain gradients, has zero radius of convergence due to the process of the thermal nucleation of cracks. Viscoelastic materials share properties of both fluids and solids. We use holographic gauge theory/gravity correspondence to study all order hydrodynamics of relativistic viscoelastic media.