Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2012 | 10 | 3 | 568-575

Article title

The imprints of superstatistics in multiparticle production processes

Content

Title variants

Languages of publication

EN

Abstracts

EN
We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter q > 1. In nuclear collisions one additionally observes a q-dependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting parameters q obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results in a generalization of the so called Lindhard’s thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis entropy with degree of nonextensivity q < 1, the corresponding standard Tsallis distribution is described by q′ = 2 − q > 1.

Publisher

Journal

Year

Volume

10

Issue

3

Pages

568-575

Physical description

Dates

published
1 - 6 - 2012
online
17 - 6 - 2012

Contributors

author
  • Theoretical Physics Department, National Centre for Nuclear Research, Hoża 69, 00-681, Warsaw, Poland
  • Institute of Physics, Jan Kochanowski University, Świȩtokrzyska 15, 25-405, Kielce, Poland

References

  • [1] M. Gaździcki, M. Gorenstein, P. Seyboth, Acta Phys. Pol. B 42, 307 (2011) http://dx.doi.org/10.5506/APhysPolB.42.307[Crossref]
  • [2] G. Wilk, Z. Włodarczyk, Eur. Phys. J. A 40, 299 (2009) http://dx.doi.org/10.1140/epja/i2009-10803-9[Crossref]
  • [3] C. Tsallis, J. Stat. Phys. 52, 479 (1988) http://dx.doi.org/10.1007/BF01016429[Crossref]
  • [4] C. Tsallis, Eur. Phys. J. A 40, 257 (2009) http://dx.doi.org/10.1140/epja/i2009-10799-0[Crossref]
  • [5] C. Tsallis, Introduction to nonextensive statistical mechanics (Springer, New York, 2009)
  • [6] G. Wilk, Z. Włodarczyk, Phys. Rev. Lett. 84, 2770 (2000) http://dx.doi.org/10.1103/PhysRevLett.84.2770[Crossref]
  • [7] G. Wilk, Z. Włodarczyk, Chaos Soliton Fract. 13, 581 (2001) http://dx.doi.org/10.1016/S0960-0779(01)00041-8[Crossref]
  • [8] C. Beck, E. G. D. Cohen, Physica A 322, 267 (2003) http://dx.doi.org/10.1016/S0378-4371(03)00019-0[Crossref]
  • [9] F. Sattin, Eur. Phys. J. B 49, 219 (2006) http://dx.doi.org/10.1140/epjb/e2006-00038-8[Crossref]
  • [10] T. S. Biró, A. Jakovác, Phys. Rev. Lett. 94, 132302 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.132302[Crossref]
  • [11] T. S. Biró, G. Purcel, K. Ürmösy, Eur. Phys. J. A 40, 325 (2009) http://dx.doi.org/10.1140/epja/i2009-10806-6[Crossref]
  • [12] G. Wilk, Z. Włodarczyk, Phys. Rev. C 79, 054903 (2009) http://dx.doi.org/10.1103/PhysRevC.79.054903[Crossref]
  • [13] M. Shao et al., J. Phys. G Nucl. Partic. 37, 085104 (2010) http://dx.doi.org/10.1088/0954-3899/37/8/085104[Crossref]
  • [14] G. Wilk, Z. Włodarczyk, Cent. Eur. J. Phys. 8, 726 (2010) http://dx.doi.org/10.2478/s11534-009-0164-z[Crossref]
  • [15] A. Adare et al., Phys. Rev. D 83, 052004 (2011) http://dx.doi.org/10.1103/PhysRevD.83.052004[Crossref]
  • [16] V. Khachatryan et al., J. High Energy Phys. 02, 041 (2010) http://dx.doi.org/10.1007/JHEP02(2010)041[Crossref]
  • [17] V. Khachatryan et al., Phys. Rev. Lett. 105, 022002 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.022002[Crossref]
  • [18] F. S. Navarra, O. V. Utyuzh, G. Wilk, Z. Włodarczyk, Phys. Rev. D 67, 114002 (2003) http://dx.doi.org/10.1103/PhysRevD.67.114002[Crossref]
  • [19] F. S. Navarra, O. V. Utyuzh, G. Wilk, Z. Włodarczyk, Physica A 340, 467 (2004) http://dx.doi.org/10.1016/j.physa.2004.04.042[Crossref]
  • [20] F. S. Navarra, O. V. Utyuzh, G. Wilk, Z. Włodarczyk, Physica A 344, 568 (2004) http://dx.doi.org/10.1016/j.physa.2004.06.033[Crossref]
  • [21] M. Biyajima, M. Kaneyama, T. Mizoguchi, G. Wilk, Eur. Phys. J. C 40, 243 (2005) http://dx.doi.org/10.1140/epjc/s2005-02140-2[Crossref]
  • [22] M. Biyajima, T. Mizoguchi, N. Nakajima, N. Suzuki, G. Wilk, Eur. Phys. J. C 48, 593 (2006) http://dx.doi.org/10.1140/epjc/s10052-006-0026-4[Crossref]
  • [23] G. Wilk, Z. Włodarczyk, Physica A 376, 279 (2007) http://dx.doi.org/10.1016/j.physa.2006.10.042[Crossref]
  • [24] G. Wilk, Z. Włodarczyk, W. Wolak, Acta Phys. Pol. B 42, 1277 (2011) http://dx.doi.org/10.5506/APhysPolB.42.1277[Crossref]
  • [25] G. Wilk, Z. Włodarczyk, Physica A 390, 3566 (2011) http://dx.doi.org/10.1016/j.physa.2011.05.002[Crossref]
  • [26] N. Bohr, In: J. Kalekar (Ed.), Collected works, vol. 6 (North-Holland, Amsterdam, 1985) 316
  • [27] N. Bohr, In: J. Kalekar (Ed.), Collected works, vol. 6 (North-Holland, Amsterdam, 1985) 376
  • [28] J. Lindhard, In: J. de Boer, E. Dal, O. Ulfbeck (Eds.), The lesson of quantum theory (North-Holland, Amsterdam, 1986)
  • [29] J. Uffink, J. van Lith, Found. Phys. 29, 655 (1999) http://dx.doi.org/10.1023/A:1018811305766[Crossref]
  • [30] J. Uffink, J. van Lith, arXiv:cond-mat/9806102v1 [condmat. stat-mech]
  • [31] B. H. Lavenda, Found. Phys. Lett. 13, 487 (2000) http://dx.doi.org/10.1023/A:1007836900527[Crossref]
  • [32] M. Rybczyński, Z. Włodarczyk, G. Wilk., Nucl. Phys. B-Proc. Sup. 122, 325 (2003) http://dx.doi.org/10.1016/S0920-5632(03)80410-3[Crossref]
  • [33] A. K. Dash, B. M. Mohanty, J. Phys. G Nucl. Partic. 37, 025102 (2010) http://dx.doi.org/10.1088/0954-3899/37/2/025102[Crossref]
  • [34] C. Geich-Gimbel, Int. J. Mod. Phys. A 4, 1527 (1989) http://dx.doi.org/10.1142/S0217751X89000662[Crossref]
  • [35] T. Wibig, J. Phys. G Nucl. Partic. 37, 115009 (2010) http://dx.doi.org/10.1088/0954-3899/37/11/115009[Crossref]
  • [36] C. Alt et al., Phys. Rev. C 77, 034906 (2008) http://dx.doi.org/10.1103/PhysRevC.77.034906[Crossref]
  • [37] C. Alt et al., Phys. Rev. C 77, 024903 (2008) http://dx.doi.org/10.1103/PhysRevC.77.024903[Crossref]
  • [38] S. V. Afanasiew et al., Phys. Rev. C 66, 054902 (2002) http://dx.doi.org/10.1103/PhysRevC.66.054902[Crossref]
  • [39] I. V. Karlin, M. Grmela, N. Gorban, Phys. Rev. E 65, 036128 (2002) http://dx.doi.org/10.1103/PhysRevE.65.036128[Crossref]
  • [40] J. Rożynek, G. Wilk, J. Phys. G Nucl. Partic. 36 125108 (2009) http://dx.doi.org/10.1088/0954-3899/36/12/125108
  • [41] J. Rożynek, G. Wilk, EPJ Web of Conferences 13, 5002 (2011) http://dx.doi.org/10.1051/epjconf/20111305002[Crossref]
  • [42] B. B. Back et al., Phys. Rev. C 74, 021902(R) (2006)
  • [43] A. Białas, M. Błeszynski, W. Czyz, Nucl. Phys. B 111, 461 (1976) http://dx.doi.org/10.1016/0550-3213(76)90329-1[Crossref]
  • [44] K. Fiałkowski, R. Wit, Acta Phys. Pol. B 41, 1317 (2010)
  • [45] K. Fiałkowski, R. Wit, Eur. Phys. J. A 45, 51 (2010) http://dx.doi.org/10.1140/epja/i2010-10970-6[Crossref]
  • [46] P. N. Rathie, S. Da Silva, Applied Mathematical Sciences 2, 1359 (2008)
  • [47] T. Oikonomou, G. B. Bagci, Phys. Lett. A 374, 2225 (2010) http://dx.doi.org/10.1016/j.physleta.2010.03.038[Crossref]
  • [48] C. Tsallis, Physica D 193, 3 (2004) http://dx.doi.org/10.1016/j.physd.2004.01.006[Crossref]
  • [49] C. Beck, F. Schlögl, Thermodynamics of chaotic systems (Cambridge Univ. Press, Cambridge, 1993) http://dx.doi.org/10.1017/CBO9780511524585[Crossref]
  • [50] Yu. L. Klimontovich, Statistical theory of open systems (Kluwer, Dordrecht, 1995) http://dx.doi.org/10.1007/978-94-011-0175-2[Crossref]
  • [51] C. Tsallis, R. S. Mendes, A. R. Plastino, Physica A 261, 534 (1998) http://dx.doi.org/10.1016/S0378-4371(98)00437-3[Crossref]
  • [52] S. Abe, Phys. Rev. E 66, 046134 (2002) http://dx.doi.org/10.1103/PhysRevE.66.046134[Crossref]
  • [53] S. Abe, Astrophys. Space Sci. 305, 241 (2006) http://dx.doi.org/10.1007/s10509-006-9198-5[Crossref]
  • [54] S. Abe, G. B. Bagci, Phys. Rev. E 71, 016139 (2005) http://dx.doi.org/10.1103/PhysRevE.71.016139[Crossref]
  • [55] S. Abe, Europhys. Lett. 84, 60006 (2008) http://dx.doi.org/10.1209/0295-5075/84/60006[Crossref]
  • [56] S. Abe, Phys. Rev. E 79, 041116 (2009) http://dx.doi.org/10.1103/PhysRevE.79.041116[Crossref]
  • [57] R. Hanel, S. Thurner, C. Tsallis, Europhys. Lett. 85, 20005 (2009) http://dx.doi.org/10.1209/0295-5075/85/20005[Crossref]
  • [58] J. F. Lutsko, J. P. Boon, P. Grosfils, Europhys. Lett. 86, 40005 (2009) http://dx.doi.org/10.1209/0295-5075/86/40005[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0111-7
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.