Generalized thermodynamic uncertainty relations

被引:16
作者
Wilk, G. [1 ]
Wlodarczyk, Z. [2 ]
机构
[1] Andrzej Soltan Inst Nucl Studies, PL-00689 Warsaw, Poland
[2] Jan Kochanowski Univ Humanities & Sci, Inst Phys, PL-25406 Kielce, Poland
关键词
Thermodynamics; Nonextensive statistics; Fluctuations; FLUCTUATIONS; SUPERSTATISTICS; ENERGY;
D O I
10.1016/j.physa.2011.05.002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze an ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fluctuating variables. It generalizes Lindhard's thermodynamic uncertainty relations known in literature. (c) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:3566 / 3572
页数:7
相关论文
共 38 条
[1]   Energy dependence of pion and kaon production in central Pb plus Pb collisions -: art. no. 054902 [J].
Afanasiev, SV ;
Anticic, T ;
Barna, D ;
Bartke, J ;
Barton, RA ;
Behler, M ;
Betev, L ;
Bialkowska, H ;
Billmeier, A ;
Blume, C ;
Blyth, CO ;
Boimska, B ;
Botje, M ;
Bracinik, J ;
Bramm, R ;
Brun, R ;
Buncic, P ;
Cerny, V ;
Cramer, JG ;
Csató, P ;
Dinkelaker, P ;
Eckhardt, V ;
Filip, P ;
Fodor, Z ;
Foka, P ;
Freund, P ;
Friese, V ;
Gál, J ;
Gazdzicki, M ;
Georgopoulos, G ;
Gladysz, E ;
Hegyi, S ;
Höhne, C ;
Igo, G ;
Jones, PG ;
Kadija, K ;
Karev, A ;
Kolesnikov, VI ;
Kollegger, T ;
Kowalski, M ;
Kraus, I ;
Kreps, M ;
van Leeuwen, M ;
Lévai, P ;
Malakhov, AI ;
Margetis, S ;
Markert, C ;
Mayes, BW ;
Melkumov, GL ;
Mischke, A .
PHYSICAL REVIEW C, 2002, 66 (05)
[2]   High transverse momentum hadron spectra at √sNN=17.3 GeV in Pb+Pb and p+p collisions [J].
Alt, C. ;
Anticic, T. ;
Baatar, B. ;
Barna, D. ;
Bartke, J. ;
Betev, L. ;
Bialkowska, H. ;
Blume, C. ;
Boimska, B. ;
Botje, M. ;
Bracinik, J. ;
Bramm, R. ;
Buncic, P. ;
Cerny, V. ;
Christakoglou, P. ;
Chung, P. ;
Chvala, O. ;
Cramer, J. G. ;
Csato, P. ;
Dinkelaker, P. ;
Eckardt, V. ;
Flierl, D. ;
Fodor, Z. ;
Foka, P. ;
Friese, V. ;
Gal, J. ;
Gazdzicki, M. ;
Genchev, V. ;
Georgopoulos, G. ;
Gladysz, E. ;
Grebieszkow, K. ;
Hegyi, S. ;
Hoehne, C. ;
Kadija, K. ;
Karev, A. ;
Kikola, D. ;
Kliemant, M. ;
Kniege, S. ;
Kolesnikov, V. I. ;
Kornas, E. ;
Korus, R. ;
Kowalski, M. ;
Kraus, I. ;
Kreps, M. ;
Laszlo, A. ;
Lacey, R. ;
van Leeuwen, M. ;
Levai, P. ;
Litov, L. ;
Lungwitz, B. .
PHYSICAL REVIEW C, 2008, 77 (03)
[3]   Pion and kaon production in central Pb plus Pb collisions at 20A and 30A GeV: Evidence for the onset of deconfinement [J].
Alt, C. ;
Anticic, T. ;
Baatar, B. ;
Barna, D. ;
Bartke, J. ;
Betev, L. ;
Bialkowska, H. ;
Blume, C. ;
Boimska, B. ;
Botje, M. ;
Bracinik, J. ;
Bramm, R. ;
Buncic, P. ;
Cerny, V. ;
Christakoglou, P. ;
Chung, P. ;
Chvala, O. ;
Cramer, J. G. ;
Csato, P. ;
Dinkelaker, P. ;
Eckardt, V. ;
Flierl, D. ;
Fodor, Z. ;
Foka, P. ;
Friese, V. ;
Gal, J. ;
Gazdzicki, M. G. ;
Genchev, V. ;
Gladysz, E. ;
Grebieszkow, K. ;
Hegyi, S. ;
Hoehne, C. ;
Kadija, K. ;
Karev, A. ;
Kikola, D. ;
Kliemant, M. ;
Kniege, S. ;
Kolesnikov, V. I. ;
Kollegger, T. ;
Kornas, E. ;
Kowalski, M. ;
Kraus, I. ;
Kreps, M. ;
Laszlo, A. ;
Lacey, R. ;
van Leeuwen, M. ;
Levai, P. ;
Litov, L. ;
Lungwitz, B. ;
Makariev, M. .
PHYSICAL REVIEW C, 2008, 77 (02)
[4]  
Balian R., 2006, EUROPHYS NEWS, V37, P9
[5]   Superstatistics: theory and applications [J].
Beck, C .
CONTINUUM MECHANICS AND THERMODYNAMICS, 2004, 16 (03) :293-304
[6]   Superstatistics in high-energy physics Application to cosmic ray energy spectra and e+e- annihilation [J].
Beck, C. .
EUROPEAN PHYSICAL JOURNAL A, 2009, 40 (03) :267-273
[7]   Multiplicity fluctuations in hadron-resonance gas [J].
Begun, V. V. ;
Gorenstein, M. I. ;
Hauer, M. ;
Konchakovski, V. P. ;
Zozulya, O. S. .
PHYSICAL REVIEW C, 2006, 74 (04)
[8]   Multiplicity fluctuations in relativistic nuclear collisions: Statistical model versus experimental data [J].
Begun, V. V. ;
Gazdzicki, M. ;
Gorenstein, M. I. ;
Hauer, M. ;
Konchakovski, V. P. ;
Lungwitz, B. .
PHYSICAL REVIEW C, 2007, 76 (02)
[9]   Particle number fluctuations in a canonical ensemble [J].
Begun, VV ;
Gazdzicki, M ;
Gorenstein, MI ;
Zozulya, OS .
PHYSICAL REVIEW C, 2004, 70 (03) :0349011-0349017
[10]   Thermodynamics of composition rules [J].
Biro, T. S. ;
Urmossy, K. ;
Schram, Z. .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2010, 37 (09)