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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/13809
Title: Entropy current for non-relativistic fluid
Authors: Banerjee N.
Dutta S.
Jain A.
Roychowdhury, Dibakar
Published in: Journal of High Energy Physics
Abstract: 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. © 2014, The Author(s).
Citation: Journal of High Energy Physics (2014), 2014(8): -
URI: https://doi.org/10.1007/JHEP08(2014)037
http://repository.iitr.ac.in/handle/123456789/13809
Issue Date: 2014
Publisher: Springer Verlag
Keywords: Anomalies in Field and String Theories
Quantum Dissipative Systems
ISSN: 11266708
Author Scopus IDs: 56187917200
14064545800
8329701100
35273077400
Author Affiliations: Banerjee, N., Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India
Dutta, S., Dept. of Physics, Indian Institute of Science Education and Research Bhopal, Bhopal, India
Jain, A., Dept. of Physics, Indian Institute of Science Education and Research Bhopal, Bhopal, India
Roychowdhury, D., Dept. of Physics, Indian Institute of Science Education and Research Bhopal, Bhopal, India
Corresponding Author: Jain, A.; Dept. of Physics, Indian Institute of Science Education and Research BhopalIndia
Appears in Collections:Journal Publications [PH]

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