Odd degree number fields with odd class number
- Award ID(s):
- 1701437
- NSF-PAR ID:
- 10064138
- Date Published:
- Journal Name:
- Duke Mathematical Journal
- Volume:
- 167
- Issue:
- 5
- ISSN:
- 0012-7094
- Page Range / eLocation ID:
- 995 to 1047
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity. We first introduce odd viscosity and odd elasticity from a continuum perspective, with an emphasis on their rich phenomenology, including transverse responses, modified dislocation dynamics, and topological waves. We then provide an overview of systems that display odd viscosity and odd elasticity. These systems range from quantum fluids and astrophysical gases to active and driven matter. Finally, we comment on microscopic mechanisms by which odd viscosity and odd elasticity arise.more » « less