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Statisticheskaya teoriya otkrytych sistem. Tom I: Osnovnye idei, metody i rezul′taty

  • Publishing country: Russia
    Language: Russian
    Author: Klimontovich YU.L.
    Publisher: LENAND
    Publishing city: Moskva
    ISBN: 978-5-9710-6063-5
    Publishing year: 2019
    Number of pages: 624
    Binding: Hardback edition

  • Daetsya sistematicheskoe izlozhenie idej, metodov i rezul′tatov sovremennoj statisticheskoj teorii otkrytych sistem - sistem, kotorye obmenivayutsya s okruzhayushhimi telami veshhestvom, energiej i informaciej. Blagodarya etomu v nich, naryadu s processami degradacii, proischodyat i processy samoorganizacii, v rezul′tate kotorych voznikayut bolee slozhnye i bolee sovershennye struktury. Rassmatrivayutsya statisticheskie kriterii samoorganizacii, v chastnosti, kriterij «S-teorema». On osnovan na sopostavlenii znanij entropii, perenormirovannych k opredelennomu urovnyu srednej effektivnoj energii. Analiz otnositel′noj stepeni uporyadochennosti sostoyanij otkrytych sistem provoditsya neposredstvenno po eksperimental′nym dannym. Kriterij daet proverku pravil′nosti vybora parametrov, upravlyayushhich processami evolyucii. Pokazana vozmozhnost′ edinogo opisaniya kineticheskich, gidrodinamicheskich i diffuzionnych processov v passivnych i aktivnych makroskopicheskich sistemach bez privlecheniya tradicionnoj teorii vozmushhenij. Na etoj osnove cherez gradient entropii vvoditsya obshhee opredelenie teplovogo potoka. Proveden posledovatel′nyj raschet kineticheskich i gidrodinamicheskich fluktuacij. Etot podchod shiroko ispol′zuetsya i pri postroenii teorii klassicheskogo i anomal′nogo brounovskogo dvizheniya v nelinejnych sredach. Razvitaya teoriya otkryvaet takzhe vozmozhnost′ novoj traktovki yavleniya turbulentnosti i edinogo kineticheskogo opisaniya laminarnogo i turbulentnogo dvizheniya. Predlozhennye metody ispol′zuyutsya takzhe dlya statisticheskogo opisaniya kvantovych makroskopicheskich otkrytych sistem. Eto pozvolyaet dat′ otvety na vechnye voprosy: YAvlyaetsya li kvantovomechanicheskoe opisanie polnym? Sushhestvuyut li v kvantovoj teorii skrytye parametry? Kniga ne imeet analogov v mirovoj literature. Ona predstavlyaet soboj monograficheskoe uchebnoe posobie i napisana v znachitel′noj mere na osnove original′nych rabot avtora. Dlya studentov, aspirantov, nauchnych sotrudnikov, izuchayushhich i vedushhich raboty v oblastyach, svyazannych so statisticheskoj teoriej otkrytych sistem.


Series: Sinergetika: ot proshlogo k budushhemu
Category: Physics
Publishing country: Russia
Language: Russian
Themes by country: Russia
Author: Klimontovich YU.L.
Publisher: LENAND
Publishing city: Moskva
ISBN: 978-5-9710-6063-5
Publishing year: 2019
Number of pages: 624
Binding: Hardback edition
Weight: 720гр.
Stage: PUBLISHED
Format: Printed book
Delivery time: 4-6 weeks
Summary

Daetsya sistematicheskoe izlozhenie idej, metodov i rezul′tatov sovremennoj statisticheskoj teorii otkrytych sistem - sistem, kotorye obmenivayutsya s okruzhayushhimi telami veshhestvom, energiej i informaciej. Blagodarya etomu v nich, naryadu s processami degradacii, proischodyat i processy samoorganizacii, v rezul′tate kotorych voznikayut bolee slozhnye i bolee sovershennye struktury. Rassmatrivayutsya statisticheskie kriterii samoorganizacii, v chastnosti, kriterij «S-teorema». On osnovan na sopostavlenii znanij entropii, perenormirovannych k opredelennomu urovnyu srednej effektivnoj energii. Analiz otnositel′noj stepeni uporyadochennosti sostoyanij otkrytych sistem provoditsya neposredstvenno po eksperimental′nym dannym. Kriterij daet proverku pravil′nosti vybora parametrov, upravlyayushhich processami evolyucii. Pokazana vozmozhnost′ edinogo opisaniya kineticheskich, gidrodinamicheskich i diffuzionnych processov v passivnych i aktivnych makroskopicheskich sistemach bez privlecheniya tradicionnoj teorii vozmushhenij. Na etoj osnove cherez gradient entropii vvoditsya obshhee opredelenie teplovogo potoka. Proveden posledovatel′nyj raschet kineticheskich i gidrodinamicheskich fluktuacij. Etot podchod shiroko ispol′zuetsya i pri postroenii teorii klassicheskogo i anomal′nogo brounovskogo dvizheniya v nelinejnych sredach. Razvitaya teoriya otkryvaet takzhe vozmozhnost′ novoj traktovki yavleniya turbulentnosti i edinogo kineticheskogo opisaniya laminarnogo i turbulentnogo dvizheniya. Predlozhennye metody ispol′zuyutsya takzhe dlya statisticheskogo opisaniya kvantovych makroskopicheskich otkrytych sistem. Eto pozvolyaet dat′ otvety na vechnye voprosy: YAvlyaetsya li kvantovomechanicheskoe opisanie polnym? Sushhestvuyut li v kvantovoj teorii skrytye parametry? Kniga ne imeet analogov v mirovoj literature. Ona predstavlyaet soboj monograficheskoe uchebnoe posobie i napisana v znachitel′noj mere na osnove original′nych rabot avtora. Dlya studentov, aspirantov, nauchnych sotrudnikov, izuchayushhich i vedushhich raboty v oblastyach, svyazannych so statisticheskoj teoriej otkrytych sistem.



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