Viscoelastic hydrodynamics and holography
Abstract We formulate the theory of nonlinear viscoelastic hydrodynamics of anisotropic crystals in terms of dynamical Goldstone scalars of spontaneously broken translational symmetries, under the assumption of homogeneous lattices and absence of plastic deformations. We reformulate classical elasti...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)126 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832586118075252736 |
|---|---|
| author | Jay Armas Akash Jain |
| author_facet | Jay Armas Akash Jain |
| author_sort | Jay Armas |
| collection | DOAJ |
| description | Abstract We formulate the theory of nonlinear viscoelastic hydrodynamics of anisotropic crystals in terms of dynamical Goldstone scalars of spontaneously broken translational symmetries, under the assumption of homogeneous lattices and absence of plastic deformations. We reformulate classical elasticity effective field theory using surface calculus in which the Goldstone scalars naturally define the position of higher-dimensional crystal cores, covering both elastic and smectic crystal phases. We systematically incorporate all dissipative effects in viscoelastic hydrodynamics at first order in a long-wavelength expansion and study the resulting rheology equations. In the process, we find the necessary conditions for equilibrium states of viscoelastic materials. In the linear regime and for isotropic crystals, the theory includes the description of Kelvin-Voigt materials. Furthermore, we provide an entirely equivalent description of viscoelastic hydrodynamics as a novel theory of higher-form superfluids in arbitrary dimensions where the Goldstone scalars of partially broken generalised global symmetries play an essential role. An exact map between the two formulations of viscoelastic hydrodynamics is given. Finally, we study holographic models dual to both these formulations and map them one-to-one via a careful analysis of boundary conditions. We propose a new simple holographic model of viscoelastic hydrodynamics by adopting an alternative quantisation for the scalar fields. |
| format | Article |
| id | doaj-art-3b78e67e0d5443dbbf8c6f49d3c06299 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3b78e67e0d5443dbbf8c6f49d3c062992025-01-26T12:11:22ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020116110.1007/JHEP01(2020)126Viscoelastic hydrodynamics and holographyJay Armas0Akash Jain1Institute for Theoretical Physics, University of AmsterdamDepartment of Physics & Astronomy, University of VictoriaAbstract We formulate the theory of nonlinear viscoelastic hydrodynamics of anisotropic crystals in terms of dynamical Goldstone scalars of spontaneously broken translational symmetries, under the assumption of homogeneous lattices and absence of plastic deformations. We reformulate classical elasticity effective field theory using surface calculus in which the Goldstone scalars naturally define the position of higher-dimensional crystal cores, covering both elastic and smectic crystal phases. We systematically incorporate all dissipative effects in viscoelastic hydrodynamics at first order in a long-wavelength expansion and study the resulting rheology equations. In the process, we find the necessary conditions for equilibrium states of viscoelastic materials. In the linear regime and for isotropic crystals, the theory includes the description of Kelvin-Voigt materials. Furthermore, we provide an entirely equivalent description of viscoelastic hydrodynamics as a novel theory of higher-form superfluids in arbitrary dimensions where the Goldstone scalars of partially broken generalised global symmetries play an essential role. An exact map between the two formulations of viscoelastic hydrodynamics is given. Finally, we study holographic models dual to both these formulations and map them one-to-one via a careful analysis of boundary conditions. We propose a new simple holographic model of viscoelastic hydrodynamics by adopting an alternative quantisation for the scalar fields.https://doi.org/10.1007/JHEP01(2020)126Effective Field TheoriesGlobal SymmetriesHolography and condensed matter physics (AdS/CMT)Spontaneous Symmetry Breaking |
| spellingShingle | Jay Armas Akash Jain Viscoelastic hydrodynamics and holography Journal of High Energy Physics Effective Field Theories Global Symmetries Holography and condensed matter physics (AdS/CMT) Spontaneous Symmetry Breaking |
| title | Viscoelastic hydrodynamics and holography |
| title_full | Viscoelastic hydrodynamics and holography |
| title_fullStr | Viscoelastic hydrodynamics and holography |
| title_full_unstemmed | Viscoelastic hydrodynamics and holography |
| title_short | Viscoelastic hydrodynamics and holography |
| title_sort | viscoelastic hydrodynamics and holography |
| topic | Effective Field Theories Global Symmetries Holography and condensed matter physics (AdS/CMT) Spontaneous Symmetry Breaking |
| url | https://doi.org/10.1007/JHEP01(2020)126 |
| work_keys_str_mv | AT jayarmas viscoelastichydrodynamicsandholography AT akashjain viscoelastichydrodynamicsandholography |