LEADER 03997nam 22006615 450 001 9911007490903321 005 20250531130253.0 010 $a3-031-85497-7 024 7 $a10.1007/978-3-031-85497-2 035 $a(CKB)39124461900041 035 $a(DE-He213)978-3-031-85497-2 035 $a(MiAaPQ)EBC32142526 035 $a(Au-PeEL)EBL32142526 035 $a(EXLCZ)9939124461900041 100 $a20250531d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonequilibrium and Irreversibility /$fby Giovanni Gallavotti 205 $a2nd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (XVII, 266 p. 26 illus., 6 illus. in color.) 225 1 $aLecture Notes in Physics,$x1616-6361 ;$v1040 311 08$a3-031-85496-9 327 $aEquilibrium -- Stationary Nonequilibrium -- Discrete phase space -- Fluctuations -- Applications -- Historical comments -- Appendices -- References -- Index. 330 $aThis 2nd edition of the book focuses on the properties of stationary states in chaotic systems of particles or fluids, setting aside the theory of how these states are achieved. The second edition has been thoroughly revised and includes numerous corrections. It incorporates recent findings, with particular emphasis on the equivalence between irreversible and reversible equations. The ongoing debate over reversibility and irreversible behavior is frequently discussed. The book seeks to unify the study of stationary nonequilibrium states with that of equilibrium states, using the paradigm offered by the simplest chaotic systems, specifically Anosov systems. The book begins by exploring the time-invariant distributions relevant to physics. A distinctive feature of this work is its historical approach. To clarify foundational issues, the author analyzes the works of pioneering figures like Boltzmann, Clausius, and Maxwell, including translated excerpts of key historical documents. Additionally, the author establishes a close connection between the treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems, particularly at and beyond the onset of turbulence, as developed by Sinai, Ruelle, and Bowen (SRB) and others. Arguments are presented to strongly support the perspective that stationary states, whether in equilibrium or not, can be described in a unified framework. The book offers extensive coverage of contemporary research, presented in sufficient detail to give advanced students a sense of the ongoing research directions in this dynamic field. Proofs of theorems are generally limited to heuristic outlines, favoring the presentation of concepts and providing references for further study, thereby avoiding an overload of technical detail in the main text. 410 0$aLecture Notes in Physics,$x1616-6361 ;$v1040 606 $aStatistical mechanics 606 $aThermodynamics 606 $aMathematical physics 606 $aStochastic processes 606 $aSystem theory 606 $aStatistical Mechanics 606 $aThermodynamics 606 $aMathematical Physics 606 $aStochastic Processes 606 $aComplex Systems 615 0$aStatistical mechanics. 615 0$aThermodynamics. 615 0$aMathematical physics. 615 0$aStochastic processes. 615 0$aSystem theory. 615 14$aStatistical Mechanics. 615 24$aThermodynamics. 615 24$aMathematical Physics. 615 24$aStochastic Processes. 615 24$aComplex Systems. 676 $a530.13 700 $aGallavotti$b Giovanni$4aut$4http://id.loc.gov/vocabulary/relators/aut$028238 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911007490903321 996 $aNonequilibrium and Irreversibility$91770492 997 $aUNINA