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Volumn 50, Issue 4, 2009, Pages 495-510

Generalised information and entropy measures in physics

Author keywords

Complex systems; Entropy; Generalised statistical mechanics; Measures of information

Indexed keywords


EID: 67650242997     PISSN: 00107514     EISSN: 13665812     Source Type: Journal    
DOI: 10.1080/00107510902823517     Document Type: Article
Times cited : (217)

References (44)
  • 2
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. 52 (1988), pp. 479-487.
    • (1988) J. Stat. Phys , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 3
    • 0032299256 scopus 로고    scopus 로고
    • The role of constraints within generalized nonextensive statistics
    • C. Tsallis, R.S. Mendes, and A.R. Plastino, The role of constraints within generalized nonextensive statistics, Physica A 261 (1998), pp. 534-554.
    • (1998) Physica A , vol.261 , pp. 534-554
    • Tsallis, C.1    Mendes, R.S.2    Plastino, A.R.3
  • 4
    • 41349093327 scopus 로고    scopus 로고
    • Statistical mechanics in the context of special relativity
    • G. Kaniadakis, Statistical mechanics in the context of special relativity, Phys. Rev. E 66 (2002), 056125.
    • (2002) Phys. Rev. E , vol.66 , pp. 056125
    • Kaniadakis, G.1
  • 5
    • 3042811704 scopus 로고    scopus 로고
    • Generalized thermostatistics based on deformed exponential and logarithmic functions
    • J. Naudts, Generalized thermostatistics based on deformed exponential and logarithmic functions, Physica A 340 (2004), pp. 32-40.
    • (2004) Physica A , vol.340 , pp. 32-40
    • Naudts, J.1
  • 6
    • 34848853519 scopus 로고    scopus 로고
    • Superstatistics, thermodynamics, and fluctuations
    • S. Abe, C. Beck, and E.G.D. Cohen, Superstatistics, thermodynamics, and fluctuations, Phys. Rev. E 76 (2007), 031102.
    • (2007) Phys. Rev. E , vol.76 , pp. 031102
    • Abe, S.1    Beck, C.2    Cohen, E.G.D.3
  • 7
    • 42149190237 scopus 로고    scopus 로고
    • Nonlinear mean field Fokker- Planck equations. Application to the chemotaxis of biological populations
    • P.-H. Chavanis, Nonlinear mean field Fokker- Planck equations. Application to the chemotaxis of biological populations, Eur. Phys. J. B 62 (2008), pp. 179-208.
    • (2008) Eur. Phys. J. B , vol.62 , pp. 179-208
    • Chavanis, P.-H.1
  • 8
    • 0242607053 scopus 로고    scopus 로고
    • Generalized statistical machanics of cosmic rays
    • C. Beck, Generalized statistical machanics of cosmic rays, Physica A 331 (2004), pp. 173-181.
    • (2004) Physica A , vol.331 , pp. 173-181
    • Beck, C.1
  • 9
    • 2642587294 scopus 로고    scopus 로고
    • Defect turbulence and generalized statistical machanics
    • K.E. Daniels, C. Beck, and E. Bodenschatz, Defect turbulence and generalized statistical machanics, Physica D 193 (2004), pp. 208-217.
    • (2004) Physica D , vol.193 , pp. 208-217
    • Daniels, K.E.1    Beck, C.2    Bodenschatz, E.3
  • 10
    • 0037769057 scopus 로고    scopus 로고
    • Anomalous diffusion and Tsallis statistics in an optical lattice
    • E. Lutz, Anomalous diffusion and Tsallis statistics in an optical lattice, Phys. Rev. A 67 (2003), 051402.
    • (2003) Phys. Rev. A , vol.67 , pp. 051402
    • Lutz, E.1
  • 11
    • 33645152330 scopus 로고    scopus 로고
    • Tunable Tsallis distributions in dissipative optical lattices
    • P. Douglas, S. Bergamini, and F. Renzoni, Tunable Tsallis distributions in dissipative optical lattices, Phys. Rev. Lett. 96 (2006), 110601.
    • (2006) Phys. Rev. Lett , vol.96 , pp. 110601
    • Douglas, P.1    Bergamini, S.2    Renzoni, F.3
  • 13
    • 28844487929 scopus 로고    scopus 로고
    • From time series to superstatistics
    • C. Beck, E.G.D. Cohen, and H.L. Swinney, From time series to superstatistics, Phys. Rev. E 72 (2005), 056133.
    • (2005) Phys. Rev. E , vol.72 , pp. 056133
    • Beck, C.1    Cohen, E.G.D.2    Swinney, H.L.3
  • 14
    • 0142008235 scopus 로고    scopus 로고
    • Superstatistical mechanics of tracer- particle motions in turbulence
    • A. Reynolds, Superstatistical mechanics of tracer- particle motions in turbulence, Phys. Rev. Lett. 91 (2003), 084503.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 084503
    • Reynolds, A.1
  • 15
    • 33846855820 scopus 로고    scopus 로고
    • Statistics of three-dimensional Lagrangian turbulence
    • C. Beck, Statistics of three-dimensional Lagrangian turbulence, Phys. Rev. Lett. 98 (2007), 064502.
    • (2007) Phys. Rev. Lett , vol.98 , pp. 064502
    • Beck, C.1
  • 17
    • 0034299401 scopus 로고    scopus 로고
    • Non-extensive statistical mechanics and particle spectra in elementary interactions
    • C. Beck, Non-extensive statistical mechanics and particle spectra in elementary interactions, Physica A 286 (2000), pp. 164-180.
    • (2000) Physica A , vol.286 , pp. 164-180
    • Beck, C.1
  • 18
    • 0008892140 scopus 로고
    • Stellar polytropes and Tsallis' entropy
    • A.R. Plastino and A. Plastino, Stellar polytropes and Tsallis' entropy, Phys. Lett. A 174 (1993), pp. 384-386.
    • (1993) Phys. Lett. A , vol.174 , pp. 384-386
    • Plastino, A.R.1    Plastino, A.2
  • 19
    • 0242411895 scopus 로고    scopus 로고
    • Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence
    • P.-H. Chavanis, Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence, Phys. Rev. E 68 (2003), 036108.
    • (2003) Phys. Rev. E , vol.68 , pp. 036108
    • Chavanis, P.-H.1
  • 20
    • 3042812830 scopus 로고    scopus 로고
    • Glassy dynamics in the HMF model
    • A. Pluchino, V. Latora, and A. Rapisarda, Glassy dynamics in the HMF model, Physica A 340 (2004), pp. 187-195.
    • (2004) Physica A , vol.340 , pp. 187-195
    • Pluchino, A.1    Latora, V.2    Rapisarda, A.3
  • 21
    • 79051468875 scopus 로고    scopus 로고
    • Non- ergodicity and central-limit behavior for long-range Hamiltonians
    • A. Pluchino, A. Rapisarda, and C. Tsallis, Non- ergodicity and central-limit behavior for long-range Hamiltonians, Europhys. Lett. 80 (2007), 26002.
    • (2007) Europhys. Lett , vol.80 , pp. 26002
    • Pluchino, A.1    Rapisarda, A.2    Tsallis, C.3
  • 22
    • 0037179357 scopus 로고    scopus 로고
    • Option pricing formulas based on a non- Gaussian stock price model
    • L. Borland, Option pricing formulas based on a non- Gaussian stock price model, Phys. Rev. Lett. 89 (2002), 098701.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 098701
    • Borland, L.1
  • 23
    • 0035870822 scopus 로고    scopus 로고
    • Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates
    • A. Upadhyaya, J.-P. Rieu, J.A. Glazier, and Y. Sawada, Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates, Physica A 293 (2001), pp. 549-558.
    • (2001) Physica A , vol.293 , pp. 549-558
    • Upadhyaya, A.1    Rieu, J.-P.2    Glazier, J.A.3    Sawada, Y.4
  • 24
    • 40849137597 scopus 로고    scopus 로고
    • A superstatistical model of metastasis and cancer survival
    • L.L. Chen and C. Beck, A superstatistical model of metastasis and cancer survival, Physica A 387 (2008), pp. 3162-3172.
    • (2008) Physica A , vol.387 , pp. 3162-3172
    • Chen, L.L.1    Beck, C.2
  • 27
    • 0002453010 scopus 로고
    • Quantification methods of classification processes: Concepts of structural a entropy
    • J.H. Havrada and F. Charvat, Quantification methods of classification processes: Concepts of structural a entropy, Kybernetica 3 (1967), pp. 30-35.
    • (1967) Kybernetica , vol.3 , pp. 30-35
    • Havrada, J.H.1    Charvat, F.2
  • 29
    • 0041939636 scopus 로고    scopus 로고
    • Distributions and channel capacities in generalized statistical mechanics
    • P.T. Landsberg and V. Vedral, Distributions and channel capacities in generalized statistical mechanics, Phys. Lett. A 247 (1998), pp. 211-217.
    • (1998) Phys. Lett. A , vol.247 , pp. 211-217
    • Landsberg, P.T.1    Vedral, V.2
  • 30
    • 0041577429 scopus 로고    scopus 로고
    • A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics
    • S. Abe, A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics, Phys. Lett. A 224 (1997), pp. 326-330.
    • (1997) Phys. Lett. A , vol.224 , pp. 326-330
    • Abe, S.1
  • 31
    • 0003106319 scopus 로고
    • New nonadditive measures ofentropy for discrete probability distributions
    • B.D. Sharma and D.P. Mittal, New nonadditive measures ofentropy for discrete probability distributions, J. Math. Sci. 10 (1975), pp. 28-40.
    • (1975) J. Math. Sci , vol.10 , pp. 28-40
    • Sharma, B.D.1    Mittal, D.P.2
  • 32
    • 0034686170 scopus 로고    scopus 로고
    • Axioms and uniqueness theorem for Tsallis entropy
    • S. Abe, Axioms and uniqueness theorem for Tsallis entropy, Phys. Lett. A 271 (2000), pp. 74-79.
    • (2000) Phys. Lett. A , vol.271 , pp. 74-79
    • Abe, S.1
  • 33
    • 67650216086 scopus 로고    scopus 로고
    • T. Wada and H. Suyari, A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem, preprint (2006). Available at cond-mat/0608139.
    • T. Wada and H. Suyari, A two-parameter generalization of Shannon-Khinchin axioms and the uniqueness theorem, preprint (2006). Available at cond-mat/0608139.
  • 34
    • 0012570835 scopus 로고
    • Instabilities of Rényi entropies
    • B. Lesche, Instabilities of Rényi entropies, J. Stat. Phys. 27 (1982), pp. 419-422.
    • (1982) J. Stat. Phys , vol.27 , pp. 419-422
    • Lesche, B.1
  • 35
    • 41349092246 scopus 로고    scopus 로고
    • Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: A basis for q-exponential distributions
    • S. Abe, Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: A basis for q-exponential distributions, Phys. Rev. E 66 (2002), 046134.
    • (2002) Phys. Rev. E , vol.66 , pp. 046134
    • Abe, S.1
  • 36
    • 70449621757 scopus 로고    scopus 로고
    • On the robustness of q-expectation values and Rényi entropy
    • R. Hanel, S. Thurner, and C. Tsallis, On the robustness of q-expectation values and Rényi entropy, Europhys. Lett. 85 (2009), 20005.
    • (2009) Europhys. Lett , vol.85 , pp. 20005
    • Hanel, R.1    Thurner, S.2    Tsallis, C.3
  • 37
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • E.T. Jaynes, Information theory and statistical mechanics, Phys. Rev. 106 (1957), pp. 620-630.
    • (1957) Phys. Rev , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 38
    • 0001479422 scopus 로고
    • Statistical thermodynamics of strong interactions at high energies
    • R. Hagedorn, Statistical thermodynamics of strong interactions at high energies, Nuovo Cim. Suppl. 3 (1965), pp. 147-186.
    • (1965) Nuovo Cim. Suppl , vol.3 , pp. 147-186
    • Hagedorn, R.1
  • 39
    • 15544364321 scopus 로고    scopus 로고
    • Interpretation of the nonextensive parameter q in some applications of Tsallis statistics and Lévy distributions
    • G. Wilk and Z. Wlodarczyk, Interpretation of the nonextensive parameter q in some applications of Tsallis statistics and Lévy distributions, Phys. Rev. Lett. 84 (2000), pp. 2770-2773.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 2770-2773
    • Wilk, G.1    Wlodarczyk, Z.2
  • 40
    • 0035968842 scopus 로고    scopus 로고
    • Dynamical foundations of nonextensive statistical mechanics
    • C. Beck, Dynamical foundations of nonextensive statistical mechanics, Phys. Rev. Lett. 87 (2001), 180601.
    • (2001) Phys. Rev. Lett , vol.87 , pp. 180601
    • Beck, C.1
  • 41
    • 56149084517 scopus 로고    scopus 로고
    • Superstatistical distributions from a maximum entropy principle
    • E. Van der Straeten and C. Beck, Superstatistical distributions from a maximum entropy principle, Phys. Rev. E 78 (2008), 051101.
    • (2008) Phys. Rev. E , vol.78 , pp. 051101
    • Van der Straeten, E.1    Beck, C.2
  • 42
    • 4243415268 scopus 로고    scopus 로고
    • Constructing a statistical mechanics for Beck-Cohen superstatistics
    • C. Tsallis and A.M.C. Souza, Constructing a statistical mechanics for Beck-Cohen superstatistics, Phys. Rev. E 67 (2003), 026106.
    • (2003) Phys. Rev. E , vol.67 , pp. 026106
    • Tsallis, C.1    Souza, A.M.C.2
  • 44
    • 33847794230 scopus 로고    scopus 로고
    • Modelling train delays with q-exponential functions
    • K. Briggs and C. Beck, Modelling train delays with q-exponential functions, Physica A 378 (2007), pp. 498-504.
    • (2007) Physica A , vol.378 , pp. 498-504
    • Briggs, K.1    Beck, C.2


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