Abstract.
The evolution equation for inhomogeneous and anisotropic temperature fluctuation inside a medium is derived within the ambit of Boltzmann Transport Equation (BTE) for a hot gas of massless particles. Also, specializing to a situation created after a heavy-ion collision (HIC), we analyze the Fourier space variation of temperature fluctuation of the medium using its temperature profile. The effect of viscosity on the variation of fluctuations in the latter case is investigated and possible implications for early universe cosmology, and its connection with HICs are also explored.
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References
S. Jeon, V. Koch, Phys. Rev. Lett. 85, 2076 (2000)
M. Asakawa, U.W. Heinz, B. Müller, Phys. Rev. Lett. 85, 2072 (2000)
M.A. Stephanov, K. Rajagopal, E.V. Shuryak, Phys. Rev. D 60, 114028 (1999)
M.A. Stephanov, K. Rajagopal, E.V. Shuryak, Phys. Rev. Lett. 81, 4816 (1998)
NA49 Collaboration (S.V. Afanasiev et al.), Phys. Rev. Lett. 86, 1965 (2001)
STAR Collaboration (B.I. Abelev et al.), Phys. Rev. C 75, 064901 (2007)
PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 83, 052004 (2011)
PHENIX Collaboration (A. Adare et al.), Phys. Rev. C 83, 064903 (2011)
ALICE Collaboration (K. Aamodt et al.), Phys. Lett. B 693, 53 (2010)
CMS Collaboration (V. Khachatryan et al.), JHEP 02, 041 (2010)
CMS Collaboration (V. Khachatryan et al.), Phys. Rev. Lett. 105, 022002 (2010)
ATLAS Collaboration (G. Aad et al.), New J. Phys. 13, 053033 (2011)
ALICE Collaboration (K. Aamodt et al.), Eur. Phys. J. C 73, 2662 (2013)
I. Bediaga, E.M.F. Curado, J. Miranda, Physica A 286, 156 (2000)
M.D. Azmi, J. Cleymans, Eur. Phys. J. C 75, 430 (2015)
J. Cleymans, D. Worku, Eur. Phys. J. A 48, 160 (2012)
B. Mohanty, Jan-e Alam, T.K. Nayak, Phys. Rev. C 67, 024904 (2003)
M.A. Stephanov, Phys. Rev. D 81, 054012 (2010)
S. Basu, R. Chatterjee, B.K. Nandi, T.K. Nayak, arXiv:1504.04502 [nucl-ex]
S. Basu, R. Chatterjee, B.K. Nandi, T.K. Nayak, arXiv:1405.3969 [nucl-ex]
D.K. Mishra, P. Garg, P.K. Netrakanti, A.K. Mohanty, J. Phys. G 42, 105105 (2015)
H.B. Prosper, Am. J. Phys. 52, 629 (1992)
S. Dodelson, Modern Cosmology (Academic Press, California, USA, 2003)
G. Sarwar, J.-e Alam, arXiv:1503.06019 [nucl-th]
R. Balescu, Equilibrium and Non-equilibrium Statistical Mechanics (John Wiley & Sons Inc., Hoboken, USA, 1975)
R. Baier, P. Romatschke, Eur. Phys. J. C 51, 677 (2007)
W.M. Alberico, A. Lavagno, P. Quarati, Eur. Phys. J. C 12, 499 (2000)
C.E. Aguiar, T. Kodama, Physica A 320, 371 (2003)
T.S. Biró, A. Jakovac, Phys. Rev. Lett. 94, 132302 (2005)
T.S. Biró, G. Purcsel, Phys. Rev. Lett. 95, 162302 (2005)
M. Biyajima, M. Kaneyama, Eur. Phys. J. C 40, 243 (2005)
O.V. Utyuzh, G. Wilk, Z. Wlodarczyk, Acta Phys. Hung. A 25, 65 (2006)
M. Biyajima, T. Mizoguchi, N. Nakajima, N. Suzuki, G. Wilk, Eur. Phys. J. C 48, 597 (2007)
T. Osada, G. Wilk, Phys. Rev. C 77, 044903 (2008)
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
C. Beck, Physica A 286, 164 (2000)
Z. Tang, Y. Xu, L. Ruan, G.v. Buren, F. Wang, Z. Xu, Phys. Rev. C 79, 051901 (2009)
G. Wilk, Z. Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000)
C. Beck, Phys. Rev. Lett. 87, 180601 (2001)
C. Beck, E.G.D. Cohen, Physica A 322, 267 (2003)
T.S. Biró, P. Ván, G.G. Barnaföldi, K. Ürmössy, Entropy 16, 6497 (2014)
E. Komatsu et al., Astrophys. J. 192, 2 (2011)
Planck Collaboration, arXiv:1502.01589 [astro.ph-CO]
A. Bernui, C. Tsallis, T. Villela, Phys. Lett. A 356, 426 (2006)
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Communicated by Xin-Nian Wang
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Bhattacharyya, T., Garg, P., Sahoo, R. et al. Time evolution of temperature fluctuation in a non-equilibrated system. Eur. Phys. J. A 52, 283 (2016). https://doi.org/10.1140/epja/i2016-16283-x
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DOI: https://doi.org/10.1140/epja/i2016-16283-x