Local thermodynamical equilibrium and the \(\beta \) frame for a quantum relativistic fluid

详细信息    查看全文

• 作者：Francesco Becattini ; Leda Bucciantini ; Eduardo Grossi…
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：75
• 期：5
• 全文大小：736 KB
• 参考文献：1.R. Baier, P. Romatschke, D.T. Son, A.O. Starinets, M.A. Stephanov, JHEP 0804, 100 (2008)View Article ADS MathSciNet
  2.P. Kovtun, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 94, 111601 (2005)View Article ADS
  3.P.F. Kolb, U.W. Heinz, P. Huovinen, K.J. Eskola, K. Tuominen, Nucl. Phys. A 696, 197 (2001)View Article ADS
  4.J.-Y. Ollitrault, Eur. J. Phys. 29, 275 (2008)View Article
  5.U. Heinz, R. Snellings, Ann. Rev. Nucl. Part. Sci. 63, 123 (2013)View Article ADS
  6.R. Baier, P. Romatschke, U.A. Wiedemann, Phys. Rev. C 73, 064903 (2006)View Article ADS
  7.P. Huovinen, P.V. Ruuskanen, Ann. Rev. Nucl. Part. Sci. 56, 163 (2006)View Article ADS
  8.L.P. Csernai, J.I. Kapusta, L.D. McLerran, Phys. Rev. Lett. 97, 152303 (2006)View Article ADS
  9.W. Florkowksi, Phenomenology of Ultra-Relativistic Heavy Ion Collisions (World Scientific, Singapore, 2010)View Article
  10.P. Bozek, W. Broniowski, Acta Phys. Polon. B 45(7), 1337 (2014). arXiv:鈥?403.鈥?042 [nucl-th]
  11.K. Damle, S. Sachdev, Phys. Rev. B 56, 8714 (1997)View Article ADS
  12.S.A. Hartnoll, P.K. Kovtun, M. M眉ller, S. Sachdev, Phys. Rev. B 76, 144502 (2007)View Article ADS
  13.P. Kovtun, C. Herzog, S. Sachdev, D.T. Son, Phys. Rev. D 75, 085020 (2007)
  14.L. Fritz, J. Schmalian, M. Muller, S. Sachdev, Phys. Rev. B 78, 085416 (2008)
  15.A. Adams, L.D. Carr, T. Sch盲fer, P. Steinberg, J.E. Thomas, New J. Phys. 14, 115009 (2012)View Article ADS MathSciNet
  16.J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, U.A. Wiedemann, arXiv:鈥?101.鈥?618 [hep-th]
  17.G.S. Denicol, E. Moln谩r, H. Niemi, D.H. Rischke, Eur. Phys. J. A 48, 170 (2012)View Article ADS
  18.S.R. De Groot, W.A. van Leeuwen, C.H.G. van Weert, Relativistic Kinetic Theory (North Holland, Amsterdam, 1980)
  19.R. Balian, From Microphysics to Macrophysics (Springer, Heidelberg, 2007)
  20.P. V谩n, T.S. Bir贸, in Proceedings of the 12th Joint European Thermodynamics Conference, Cartolibreria SNOOPY, 2013, ed. by M. Pilotelli, G.P. Beretta, pp. 546鈥?51. arXiv:鈥?305.鈥?190 [gr-qc]
  21.D.N. Zubarev, A.V. Prozorkevich, S.A. Smolyanskii, Theoret. Math. Phys. 40, 821 (1979)
  22.F. Becattini, Phys. Rev. Lett. 108, 244502 (2012)View Article ADS
  23.T. Chrobok, H.H. von Borzeszkowski, Gen. Rel. Grav. 38, 397 (2006)View Article ADS MATH
  24.W. Israel, Ann. Phys. 100, 310 (1976)View Article ADS MathSciNet
  25.W. Israel, J.M. Stewart, Ann. Phys. 118, 341 (1979)View Article ADS MathSciNet
  26.F. Becattini, L. Tinti, Phys. Rev. D 84, 025013 (2011)View Article ADS
  27.A. Einstein, Jahrb. Rad. u. Elektr. 4, 411 (1907)
  28.M. Planck, Ann. der Phys. 26, 1 (1908)View Article ADS MATH
  29.D.N. Zubarev, Sov. Phys. Doklady 10, 850 (1966)ADS MathSciNet
  30.D.N. Zubarev, M.V. Tokarchuk, Theor. Math. Phys. 88, 876 (1992) [Teor. Mat. Fiz. 88N2, 286 (1991)]
  31.A. Hosoya, M. Sakagami, M. Takao, Ann. Phys. 154, 229 (1984)View Article ADS MathSciNet
  32.G.D. Moore, K.A. Sohrabi, JHEP 1211, 148 (2012)View Article ADS
  33.P. Kovtun, J. Phys. A 45, 473001 (2012)View Article ADS MathSciNet
  34.A. Muronga, Phys. Rev. Lett. 88, 062302 (2002) [Erratum-ibid. 89, 159901 (2002)]
  35.P. Huovinen, D. Molnar, Phys. Rev. C 79, 014906 (2009)View Article ADS
  36.U.W. Heinz, H. Song, A.K. Chaudhuri, Phys. Rev. C 73, 034904 (2006)View Article ADS
  37.A. Muronga, Heavy Ion Phys. 15, 337 (2002)View Article
  38.A. Muronga, Phys. Rev. C 69, 034903 (2004)View Article ADS
  39.G.S. Denicol, T. Kodama, T. Koide, P. Mota, J. Phys. G 35, 115102 (2008)View Article ADS
  40.P. Romatschke, Int. J. Mod. Phys. E 19, 1 (2010)View Article ADS
  41.P. Romatschke, Class. Q. Grav. 27, 025006 (2010)View Article ADS MathSciNet
  42.K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz, A. Yarom, Phys. Rev. Lett. 109, 101601 (2012)View Article ADS
  43.P. Van, T.S. Biro, Phys. Lett. B 709, 106 (2012)View Article ADS MathSciNet
  44.J. Bhattacharya, S. Bhattacharyya, M. Rangamani, JHEP 1302, 153 (2013)View Article ADS MathSciNet
  
• 作者单位：Francesco Becattini (1)
  Leda Bucciantini (2)
  Eduardo Grossi (1)
  Leonardo Tinti (3)
  
  1. Universit脿 di Firenze and INFN Sezione di Firenze, Florence, Italy
  2. Dipartimento di Fisica dell鈥橴niversit脿 di Pisa and INFN, 56127, Pisa, Italy
  3. Jan Kochanowski University, Kielce, Poland
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

We discuss the concept of local thermodynamical equilibrium in relativistic hydrodynamics in flat spacetime in a quantum statistical framework without an underlying kinetic description, suitable for strongly interacting fluids. We show that the appropriate definition of local equilibrium naturally leads to the introduction of a relativistic hydrodynamical frame in which the four-velocity vector is the one of a relativistic thermometer at equilibrium with the fluid, parallel to the inverse temperature four-vector \(\beta \), which then becomes a primary quantity. We show that this frame is the most appropriate for the expansion of the stress-energy tensor from local thermodynamical equilibrium and that therein the local laws of thermodynamics take on their simplest form. We discuss the difference between the \(\beta \) frame and Landau frame and present an instance where they differ.