Entropy current and equilibrium partition function in fluid dynamics

被引：46
作者：
Bhattacharyya, Sayantani [1 ,2 ]
机构：
[1] Ramakrishna Mission Vivekananda Univ, Belur Math 711202, Howrah, India
[2] Indian Inst Technol, Kanpur 208016, Uttar Pradesh, India
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 08期
关键词：
Quantum Dissipative Systems; Gauge Symmetry; Space-Time Symmetries; Global Symmetries; HYDRODYNAMICS;
D O I：
10.1007/JHEP08(2014)165
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
Existence of an entropy current with non-negative divergence puts a lot of constraints on the transport coefficients of a fluid, so does the existence of equilibrium. In all the cases we have studied so far we have seen an overlap between these two sets of constraints. In this note we shall try to explore the reason for such an overlap. We shall also see how a part of the entropy current could be determined from the equilibrium partition function.
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页数：46
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[1]   Constraints on anomalous fluid in arbitrary dimensions [J].
Banerjee, Nabamita ;
Dutta, Suvankar ;
Jain, Sachin ;
Loganayagam, R. ;
Sharma, Tarun .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (03)
[2]   Constraints on fluid dynamics from equilibrium partition functions [J].
Banerjee, Nabamita ;
Bhattacharya, Jyotirmoy ;
Bhattacharyya, Sayantani ;
Jain, Sachin ;
Minwalla, Shiraz ;
Sharma, Tarun .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (09)
[3]   Two dimensional hydrodynamics with gauge and gravitational anomalies [J].
Banerjee, Rabin ;
Dey, Shirsendu ;
Majhi, Bibhas Ranjan ;
Mitra, Arpan Krishna .
PHYSICAL REVIEW D, 2014, 89 (10)
[4]   Exact results in two-dimensional chiral hydrodynamics with gravitational anomalies [J].
Banerjee, Rabin .
EUROPEAN PHYSICAL JOURNAL C, 2014, 74 (04) :1-7
[5]   A theory of first order dissipative superfluid dynamics [J].
Bhattacharya, Jyotirmoy ;
Bhattacharyya, Sayantani ;
Minwalla, Shiraz ;
Yarom, Amos .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (05)
[6]   Entropy current from partition function: one example [J].
Bhattacharyya, Sayantani .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (07)
[7]   Second order transport from anomalies [J].
Bhattacharyya, Sayantani ;
David, Justin R. ;
Thakur, Somyadip .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (01)
[8]   Constraints on the second order transport coefficients of an uncharged fluid [J].
Bhattacharyya, Sayantani .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (07)
[9]   Constraints on superfluid hydrodynamics from equilibrium partition functions [J].
Bhattacharyya, Sayantani ;
Jain, Sachin ;
Minwalla, Shiraz ;
Sharma, Tarun .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (01)
[10]   Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion [J].
Dubovsky, Sergei ;
Hui, Lam ;
Nicolis, Alberto ;
Dam Thanh Son .
PHYSICAL REVIEW D, 2012, 85 (08)
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