Nabamita Banerjee
Entropy current for non-relativistic fluid
Banerjee, Nabamita; Dutta, Suvankar; Jain, Akash; Roychowdhury, Dibakar
Authors
Suvankar Dutta
Akash Jain
Dibakar Roychowdhury
Abstract
We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic relativistic fluid, living in one higher dimension and reduce the constituent equations along the light-cone direction. We also reduce the equation satisfied by the entropy current of the relativistic theory and obtain a consistent entropy current for the non-relativistic system (we call it “canonical form” of the entropy current). Demanding that the non-relativistic fluid satisfies the second law of thermodynamics we impose constraints on various first order transport coefficients. For parity even fluid, this is straight forward; it tells us positive definiteness of different transport coefficients like viscosity, thermal conductivity, electric conductivity etc. However for parity-odd fluid, canonical form of the entropy current fails to confirm the second law of thermodynamics. Therefore, we need to add two parity-odd vectors to the entropy current with arbitrary coefficients. Upon demanding the validity of second law, we see that one can fix these two coefficients exactly.
Citation
Banerjee, N., Dutta, S., Jain, A., & Roychowdhury, D. (2014). Entropy current for non-relativistic fluid. Journal of High Energy Physics, 2014(8), Article 037. https://doi.org/10.1007/jhep08%282014%29037
Journal Article Type | Article |
---|---|
Publication Date | Aug 7, 2014 |
Deposit Date | Feb 1, 2015 |
Publicly Available Date | Apr 27, 2015 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Electronic ISSN | 1029-8479 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2014 |
Issue | 8 |
Article Number | 037 |
DOI | https://doi.org/10.1007/jhep08%282014%29037 |
Keywords | Quantum Dissipative Systems, Anomalies in Field and String Theories. |
Public URL | https://durham-repository.worktribe.com/output/1437438 |
Related Public URLs | http://arxiv.org/abs/1405.5687 |
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Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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