Baldovin, Marco; Iubini, Stefano; Livi, Roberto; Vulpiani, Angelo Statistical mechanics of systems with negative temperature. (English) Zbl 1512.82019 Phys. Rep. 923, 1-50 (2021). Reviewer: Franco Fagnola (Milano) MSC: 82B35 82C35 82C31 82B03 82C03 80A10 94A17 78A60 35Q55 35Q31 PDFBibTeX XMLCite \textit{M. Baldovin} et al., Phys. Rep. 923, 1--50 (2021; Zbl 1512.82019) Full Text: DOI arXiv
Goldstein, Sheldon; Huse, David A.; Lebowitz, Joel L.; Sartori, Pablo On the nonequilibrium entropy of large and small systems. (English) Zbl 1442.82027 Giacomin, Giambattista (ed.) et al., Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Cham: Springer. Springer Proc. Math. Stat. 282, 581-596 (2019). MSC: 82C35 82C40 82D80 82C03 94A17 60J65 PDFBibTeX XMLCite \textit{S. Goldstein} et al., Springer Proc. Math. Stat. 282, 581--596 (2019; Zbl 1442.82027) Full Text: DOI arXiv
Norton, John D. The impossible process: Thermodynamic reversibility. (English) Zbl 1348.80002 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 55, 43-61 (2016). MSC: 80A05 82B03 82C03 94A17 00A79 PDFBibTeX XMLCite \textit{J. D. Norton}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 55, 43--61 (2016; Zbl 1348.80002) Full Text: DOI Link
Ladyman, James; Robertson, Katie Landauer defended: reply to Norton. (English) Zbl 1281.82015 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 3, 263-271 (2013). MSC: 82C03 80A05 94A17 82B03 00A79 PDFBibTeX XMLCite \textit{J. Ladyman} and \textit{K. Robertson}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 3, 263--271 (2013; Zbl 1281.82015) Full Text: DOI Link
Yamano, Takuya Bounds for Fisher information and its production under flow. (English) Zbl 1322.94062 J. Math. Phys. 53, No. 4, 043301, 8 p. (2012). MSC: 94A17 82C03 PDFBibTeX XMLCite \textit{T. Yamano}, J. Math. Phys. 53, No. 4, 043301, 8 p. (2012; Zbl 1322.94062) Full Text: DOI arXiv
Lasukov, V. V. Time asymmetry of the universe. (English. Russian original) Zbl 1257.82064 Russ. Phys. J. 54, No. 10, 1093-1101 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 36-43 (2011). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 82C03 83F05 83C57 83C75 85A40 83D05 94A17 80A10 PDFBibTeX XMLCite \textit{V. V. Lasukov}, Russ. Phys. J. 54, No. 10, 1093--1101 (2012; Zbl 1257.82064); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 36--43 (2011) Full Text: DOI
Kleeman, Richard Information theory and dynamical system predictability. (English) Zbl 1229.94026 Entropy 13, No. 3, 612-649 (2011). MSC: 94A15 37N35 82C03 PDFBibTeX XMLCite \textit{R. Kleeman}, Entropy 13, No. 3, 612--649 (2011; Zbl 1229.94026) Full Text: DOI
Guo, Yongfeng; Xu, Wei; Liu, Hongtao; Li, Dongxi; Wang, Liang Upper bound of time derivative of entropy for a dynamical system driven by quasimonochromatic noise. (English) Zbl 1221.82061 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 522-527 (2011). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 522--527 (2011; Zbl 1221.82061) Full Text: DOI
Baptista, M. S.; Ngamga, E. J.; Pinto, Paulo R. F.; Brito, Margarida; Kurths, J. Kolmogorov-Sinai entropy from recurrence times. (English) Zbl 1236.82003 Phys. Lett., A 374, No. 9, 1135-1140 (2010). MSC: 82B03 82C03 82B35 82C35 94A17 PDFBibTeX XMLCite \textit{M. S. Baptista} et al., Phys. Lett., A 374, No. 9, 1135--1140 (2010; Zbl 1236.82003) Full Text: DOI arXiv
Oikonomou, Thomas; Tirnakli, Ugur Generalized entropic structures and non-generality of Jaynes’ formalism. (English) Zbl 1198.82034 Chaos Solitons Fractals 42, No. 5, 3027-3034 (2009). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{T. Oikonomou} and \textit{U. Tirnakli}, Chaos Solitons Fractals 42, No. 5, 3027--3034 (2009; Zbl 1198.82034) Full Text: DOI arXiv
Niven, R. K. Combinatorial entropies and statistics. (English) Zbl 1188.82035 Eur. Phys. J. B, Condens. Matter Complex Syst. 70, No. 1, 49-63 (2009). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{R. K. Niven}, Eur. Phys. J. B, Condens. Matter Complex Syst. 70, No. 1, 49--63 (2009; Zbl 1188.82035) Full Text: DOI arXiv
Tuisku, Petri; Pernu, Tuomas K.; Annila, Arto In the light of time. (English) Zbl 1186.82047 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2104, 1173-1198 (2009). MSC: 82C03 00A79 80A20 81P05 83F05 94A17 PDFBibTeX XMLCite \textit{P. Tuisku} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2104, 1173--1198 (2009; Zbl 1186.82047) Full Text: DOI Link
Feng, Edward H.; Crooks, Gavin E. Length of time’s arrow. (English) Zbl 1228.82053 Phys. Rev. Lett. 101, No. 9, Article ID 090602, 4 p. (2008). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{E. H. Feng} and \textit{G. E. Crooks}, Phys. Rev. Lett. 101, No. 9, Article ID 090602, 4 p. (2008; Zbl 1228.82053) Full Text: DOI arXiv
Robinson, Derek W. Entropy and uncertainty. (English) Zbl 1179.94051 Entropy 10, No. 4, 493-506 (2008). MSC: 94A17 82C03 PDFBibTeX XMLCite \textit{D. W. Robinson}, Entropy 10, No. 4, 493--506 (2008; Zbl 1179.94051) Full Text: DOI
Beretta, Gian P. Modeling non-equilibrium dynamics of a discrete probability distribution: general rate equation for maximal entropy generation in a maximum-entropy landscape with time-dependent constraints. (English) Zbl 1179.82083 Entropy 10, No. 3, 160-182 (2008). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{G. P. Beretta}, Entropy 10, No. 3, 160--182 (2008; Zbl 1179.82083) Full Text: DOI
Plastino, A.; Curado, E. M. F. Empirical aspects of statistical mechanics’ axiomatics. (English) Zbl 1170.82005 Int. J. Mod. Phys. B 22, No. 25-26, Part 2, 4589-4594 (2008). MSC: 82B30 82B03 82C03 94A17 PDFBibTeX XMLCite \textit{A. Plastino} and \textit{E. M. F. Curado}, Int. J. Mod. Phys. B 22, No. 25--26, Part 2, 4589--4594 (2008; Zbl 1170.82005) Full Text: DOI
Kozlov, V. V.; Smolyanov, O. G. Information entropy in problems of classical and quantum statistical mechanics. (English. Russian original) Zbl 1206.82054 Dokl. Math. 74, No. 3, 910-913 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 5, 587-590 (2006). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C03 82B03 94A17 82C10 82B10 94A15 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{O. G. Smolyanov}, Dokl. Math. 74, No. 3, 910--913 (2006; Zbl 1206.82054); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 5, 587--590 (2006) Full Text: DOI
Braz e Silva, Pablo; Papa, Andrés R. R. Iterates of Volterra operators and indeterminate forms. (English) Zbl 1131.82021 Int. J. Math. Math. Sci. 2006, No. 1, Article ID 29764, 6 p. (2006). MSC: 82C03 47N55 28D20 47B38 94A17 PDFBibTeX XMLCite \textit{P. Braz e Silva} and \textit{A. R. R. Papa}, Int. J. Math. Math. Sci. 2006, No. 1, Article ID 29764, 6 p. (2006; Zbl 1131.82021) Full Text: DOI EuDML
Popkov, Yu. S. Theory of dynamic entropy-operator systems and its applications. (English. Russian original) Zbl 1120.94303 Autom. Remote Control 67, No. 6, 900-926 (2006); translation from Avtom. Telemekh. 2006, No. 6, 75-105 (2006). MSC: 94A17 82C03 PDFBibTeX XMLCite \textit{Yu. S. Popkov}, Autom. Remote Control 67, No. 6, 900--926 (2006; Zbl 1120.94303); translation from Avtom. Telemekh. 2006, No. 6, 75--105 (2006) Full Text: DOI
Garbaczewski, Piotr Differential entropy and time. (English) Zbl 1135.82312 Entropy 7, No. 4, 253-299 (2005). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Entropy 7, No. 4, 253--299 (2005; Zbl 1135.82312) Full Text: DOI arXiv
Garbaczewski, Piotr Shannon versus Kullback-Leibler entropies in nonequilibrium random motion. (English) Zbl 1171.82318 Phys. Lett., A 341, No. 1-4, 33-38 (2005). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{P. Garbaczewski}, Phys. Lett., A 341, No. 1--4, 33--38 (2005; Zbl 1171.82318) Full Text: DOI arXiv
Elze, H.-T.; Kodama, T. On supercorrelated systems and phase space entrainment. (English) Zbl 1123.82336 Phys. Lett., A 335, No. 5-6, 363-370 (2005). MSC: 82C03 82C10 94A15 PDFBibTeX XMLCite \textit{H. T. Elze} and \textit{T. Kodama}, Phys. Lett., A 335, No. 5--6, 363--370 (2005; Zbl 1123.82336) Full Text: DOI arXiv
Nivanen, L.; Pezeril, M.; Wang, Q. A.; Le Méhauté, A. Applying incomplete statistics to nonextensive systems with different \(q\) indices. (English) Zbl 1082.82003 Chaos Solitons Fractals 24, No. 5, 1337-1342 (2005). Reviewer: Panayiotis Vlamos (Athens) MSC: 82C03 94A17 80A05 PDFBibTeX XMLCite \textit{L. Nivanen} et al., Chaos Solitons Fractals 24, No. 5, 1337--1342 (2005; Zbl 1082.82003) Full Text: DOI arXiv
Badiali, J. P. Entropy, time-irreversibility and the Schrödinger, equation in a primarily discrete spacetime. (English) Zbl 1065.81038 J. Phys. A, Math. Gen. 38, No. 13, 2835-2847 (2005). MSC: 81Q05 94A17 82C35 82C03 PDFBibTeX XMLCite \textit{J. P. Badiali}, J. Phys. A, Math. Gen. 38, No. 13, 2835--2847 (2005; Zbl 1065.81038) Full Text: DOI arXiv
Xing, Xiu San Nonequilibrium statistical information theory. (Chinese. English summary) Zbl 1202.82051 Acta Phys. Sin. 53, No. 9, 2852-2863 (2004). MSC: 82C03 94A15 PDFBibTeX XMLCite \textit{X. S. Xing}, Acta Phys. Sin. 53, No. 9, 2852--2863 (2004; Zbl 1202.82051)
Gallavotti, Giovanni Entropy production and thermodynamics of nonequilibrium stationary states: a point of view. (English) Zbl 1080.82011 Chaos 14, No. 3, 680-690 (2004). MSC: 82C05 37C40 37D20 37N20 82C03 94A17 PDFBibTeX XMLCite \textit{G. Gallavotti}, Chaos 14, No. 3, 680--690 (2004; Zbl 1080.82011) Full Text: DOI arXiv
Frigg, Roman In what sense is the Kolmogorov-Sinai entropy a measure for chaotic behaviour? – Bridging the gap between dynamical systems theory and communication theory. (English) Zbl 1077.94507 Br. J. Philos. Sci. 55, No. 3, 411-434 (2004). MSC: 94A17 34C28 37A35 37D45 82C03 PDFBibTeX XMLCite \textit{R. Frigg}, Br. J. Philos. Sci. 55, No. 3, 411--434 (2004; Zbl 1077.94507) Full Text: DOI
Yamano, Takuya A statistical complexity measure with nonextensive entropy and quasi-multiplicativity. (English) Zbl 1071.94005 J. Math. Phys. 45, No. 5, 1974-1987 (2004). MSC: 94A17 82C03 PDFBibTeX XMLCite \textit{T. Yamano}, J. Math. Phys. 45, No. 5, 1974--1987 (2004; Zbl 1071.94005) Full Text: DOI
Abe, Sumiyoshi Stability analysis of generalized entropies and \(q\)-exponential distributions. (English) Zbl 1062.82025 Physica D 193, No. 1-4, 84-89 (2004). MSC: 82C03 33D99 94A17 PDFBibTeX XMLCite \textit{S. Abe}, Physica D 193, No. 1--4, 84--89 (2004; Zbl 1062.82025) Full Text: DOI
Gell-Mann, Murray (ed.); Tsallis, Constantino (ed.) Nonextensive entropy – interdisciplinary applications. (English) Zbl 1127.82004 Santa Fe Institute Studies in the Sciences of Complexity. Oxford: Oxford University Press (ISBN 0-19-515977-2/pbk). xv, 422 p. (2004). MSC: 82-06 00B15 82B03 82C03 91B80 94A17 PDFBibTeX XMLCite \textit{M. Gell-Mann} (ed.) and \textit{C. Tsallis} (ed.), Nonextensive entropy -- interdisciplinary applications. Oxford: Oxford University Press (2004; Zbl 1127.82004)
Słomczyński, Wojciech; Zastawniak, Tomasz Utility maximizing entropy and the second law of thermodynamics. (English) Zbl 1047.60101 Ann. Probab. 32, No. 3A, 2261-2285 (2004). Reviewer: George Stoica (Saint John) MSC: 60K40 60F25 37A50 49N15 82C03 91B16 94A17 PDFBibTeX XMLCite \textit{W. Słomczyński} and \textit{T. Zastawniak}, Ann. Probab. 32, No. 3A, 2261--2285 (2004; Zbl 1047.60101) Full Text: DOI arXiv
Fa, K. S.; Lenzi, E. K. Thermostatistical aspects of generalized entropies. (English) Zbl 1046.82028 Chaos Solitons Fractals 20, No. 2, 227-233 (2004). MSC: 82C35 82C03 94A17 PDFBibTeX XMLCite \textit{K. S. Fa} and \textit{E. K. Lenzi}, Chaos Solitons Fractals 20, No. 2, 227--233 (2004; Zbl 1046.82028) Full Text: DOI
Allegrini, Paolo; Giuntoli, Martina; Grigolini, Paolo; West, Bruce J. From knowledge, knowability and the search for objective randomness to a new vision of complexity. (English) Zbl 1069.94008 Chaos Solitons Fractals 20, No. 1, 11-32 (2004). MSC: 94A17 68Q30 82C03 PDFBibTeX XMLCite \textit{P. Allegrini} et al., Chaos Solitons Fractals 20, No. 1, 11--32 (2004; Zbl 1069.94008) Full Text: DOI arXiv
Dewar, Roderick Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states. (English) Zbl 1066.82026 J. Phys. A, Math. Gen. 36, No. 3, 631-641 (2003). MSC: 82C03 94A15 PDFBibTeX XMLCite \textit{R. Dewar}, J. Phys. A, Math. Gen. 36, No. 3, 631--641 (2003; Zbl 1066.82026) Full Text: DOI arXiv
Abe, Sumiyoshi Generalized entropy optimized by a given arbitrary distribution. (English) Zbl 1161.82320 J. Phys. A, Math. Gen. 36, No. 33, 8733-8738 (2003). MSC: 82C03 94A17 PDFBibTeX XMLCite \textit{S. Abe}, J. Phys. A, Math. Gen. 36, No. 33, 8733--8738 (2003; Zbl 1161.82320) Full Text: DOI arXiv
Tessone, C. J.; Plastino, A.; Wio, H. S. Stochastic resonance and generalized information measures. (English) Zbl 1052.82021 Physica A 326, No. 1-2, 37-54 (2003). MSC: 82C31 82C03 94A17 PDFBibTeX XMLCite \textit{C. J. Tessone} et al., Physica A 326, No. 1--2, 37--54 (2003; Zbl 1052.82021) Full Text: DOI
Bonanno, Claudio; Galatolo, Stefano; Menconi, Giulia Information of sequences and applications. (English) Zbl 1098.37530 Physica A 305, No. 1-2, 196-199 (2002). MSC: 37B99 94A17 68P30 82C03 PDFBibTeX XMLCite \textit{C. Bonanno} et al., Physica A 305, No. 1--2, 196--199 (2002; Zbl 1098.37530) Full Text: DOI
Wada, Tatsuaki; Saito, Takeshi The additivity of the pseudo-additive conditional entropy for a proper Tsallis’ entropic index. (English) Zbl 0986.82024 Physica A 305, No. 1-2, 186-189 (2002). MSC: 82C03 82C05 94A17 PDFBibTeX XMLCite \textit{T. Wada} and \textit{T. Saito}, Physica A 305, No. 1--2, 186--189 (2002; Zbl 0986.82024) Full Text: DOI arXiv
Plastino, A.; Plastino, A. R.; Miller, H. G. On the relationship between the Fisher-Frieden-Soffer arrow of time, and the behaviour of the Boltzmann and Kullback entropies. (English) Zbl 0967.82503 Phys. Lett., A 235, No. 2, 129-134 (1997). MSC: 82C03 82C31 94A17 PDFBibTeX XMLCite \textit{A. Plastino} et al., Phys. Lett., A 235, No. 2, 129--134 (1997; Zbl 0967.82503) Full Text: DOI
Chern, Jyh Long; Otsuka, Kenju Memory characteristic of locally deforming nature in chaos. (English) Zbl 0941.37505 Phys. Lett., A 188, No. 4-6, 321-329 (1994). MSC: 37D45 82C03 94A17 37B10 PDFBibTeX XMLCite \textit{J. L. Chern} and \textit{K. Otsuka}, Phys. Lett., A 188, No. 4--6, 321--329 (1994; Zbl 0941.37505) Full Text: DOI
Weberruß, Volker Achim Universality in statistical physics and synergetics: a comprehensive approach to modern theoretical physics. (English) Zbl 0849.00024 Braunschweig: Vieweg. x, 263 p. (1993). Reviewer: P.Kosiński (Łódź) MSC: 00A79 82-02 82C03 82B03 94A17 PDFBibTeX XMLCite \textit{V. A. Weberruß}, Universality in statistical physics and synergetics: a comprehensive approach to modern theoretical physics. Braunschweig: Vieweg (1993; Zbl 0849.00024)