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Entropy and information of open systems


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Of the two definitions of ’information’ given by Shannon and employed in the communication theory, one is identical to that of Boltzmann’s entropy and gives in fact a measure of statistical uncertainty. The other involves the difference of unconditional and conditional entropies and, if properly specified, allows the introduction of a measure of information for an open system depending on the values of the system’s control parameters. Two classes of systems are identified. For those in the first class, an equilibrium state is possible and the law of conversation of information and entropy holds. When at equilibrium, such systems have zero information and maximum entropy. In self-organization processes, information increases away from the equilibrium state. For the systems of the other class, the equilibrium state is impossible. For these, the so-called ’chaoticity norm’ is introduced and also two kinds of self-organization processes are considered and the concept of information is appropriately defined. Common information definitions are applied to classical and quantum physical systems as well as to medical and biological systems.

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Fulltext is also available at DOI: 10.1070/PU1999v042n04ABEH000568
PACS: 03.65.Bz, 03.67.−a, 05.65.+c, 89.70.+c (all)
DOI: 10.1070/PU1999v042n04ABEH000568
URL: https://ufn.ru/en/articles/1999/4/e/
000080487700005
Citation: Klimontovich Yu L "Entropy and information of open systems" Phys. Usp. 42 375–384 (1999)
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Оригинал: Климонтович Ю Л «Энтропия и информация открытых систем» УФН 169 443–452 (1999); DOI: 10.3367/UFNr.0169.199904e.0443

References (27) Cited by (30) Similar articles (20) ↓

  1. Yu.L. Klimontovich “Relative ordering criteria in open systemsPhys. Usp. 39 1169–1179 (1996)
  2. G. Oppen “Objects and environmentPhys. Usp. 39 617–622 (1996)
  3. B.B. Kadomtsev “Classical and quantum irreversibilityPhys. Usp. 38 923–929 (1995)
  4. Yu.L. Klimontovich “What are stochastic filtering and stochastic resonance?Phys. Usp. 42 37–44 (1999)
  5. M.D. Bal’makov “Information capacity of condensed systemsPhys. Usp. 42 1167–1173 (1999)
  6. A.S. Trushechkin, E.O. Kiktenko et alSecurity of the decoy state method for quantum key distributionPhys. Usp. 64 88–102 (2021)
  7. V.V. Mityugov “Thermodynamics of simple quantum systemsPhys. Usp. 43 631–637 (2000)
  8. L.A. Rivlin “Photons in a waveguide (some thought experiments)Phys. Usp. 40 291–303 (1997)
  9. A.V. Belinskii “Bell’s theorem for trichotomic observablesPhys. Usp. 40 305–316 (1997)
  10. S.P. Vyatchanin, F.Ya. Khalili “’Interaction-free’ measurement: possibilities and limitationsPhys. Usp. 47 705–716 (2004)
  11. A.M. Zheltikov “The critique of quantum mind: measurement, consciousness, delayed choice, and lost coherencePhys. Usp. 61 1016–1025 (2018)
  12. I.M. Arbekov, S.N. Molotkov “Quantum random number generators, extraction of provably random bit sequences from Markov chain trajectoriesPhys. Usp. 67 919–937 (2024)
  13. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particlesPhys. Usp. 42 573–590 (1999)
  14. I.E. Mazets “Kinetic equation including wave function collapsesPhys. Usp. 41 505–507 (1998)
  15. N.V. Evdokimov, D.N. Klyshko et alBell’s inequalities and EPR-Bohm correlations: working classical radiofrequency modelPhys. Usp. 39 83–98 (1996)
  16. B.B. Kadomtsev “Irreversibility in quantum mechanicsPhys. Usp. 46 1183–1201 (2003)
  17. A.V. Belinskii “Bell’s theorem without the hypothesis of localityPhys. Usp. 37 219–222 (1994)
  18. A.V. Belinskii “Bell’s paradoxes without the introduction of hidden variablesPhys. Usp. 37 413–419 (1994)
  19. Yu.I. Vorontsov “The uncertainty relation between energy and time of measurementSov. Phys. Usp. 24 150–158 (1981)
  20. Yu.L. Klimontovich “Fluctuation-dissipation relations. Role of the finiteness of the correlation time. Quantum generalization of Nyquist’s formulaSov. Phys. Usp. 30 154–167 (1987)

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