LEADER 04079nam 2200661 450 001 9910796035103321 005 20180731045219.0 010 $a1-4704-1003-6 035 $a(CKB)3780000000000264 035 $a(EBL)3114103 035 $a(SSID)ssj0000889095 035 $a(PQKBManifestationID)11488386 035 $a(PQKBTitleCode)TC0000889095 035 $a(PQKBWorkID)10875169 035 $a(PQKB)10054491 035 $a(MiAaPQ)EBC3114103 035 $a(RPAM)17698265 035 $a(PPN)195408365 035 $a(EXLCZ)993780000000000264 100 $a20150417h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNon-cooperative equilibria of Fermi systems with long range interactions /$fJ.-B. Bru, W. de Siqueira Pedra 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (155 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 224, Number 1052 300 $a"Volume 224, Number 1052 (first of 4 numbers)." 311 $a0-8218-8976-1 320 $aIncludes bibliographical references and indexes. 327 $a""Contents""; ""Preface""; ""Part 1 . Main Results and Discussions""; ""Chapter 1. Fermi Systems on Lattices""; ""1.1. Local fermion algebras""; ""1.2. States of Fermi systems on lattices""; ""1.3. The spacea???averaging functional I??_{ }""; ""1.4. Local interactions and internal energies""; ""1.5. Energy and entropy densities""; ""Chapter 2. Fermi Systems with Longa???Range Interactions""; ""2.1. Fermi systems with longa???range interactions""; ""2.2. Examples of applications""; ""2.3. Freea???energy densities and existence of thermodynamics""; ""2.4. Generalized t.i. equilibrium states"" 327 $a""2.5. Structure of the set \varOmega_{ }^{a??}? of generalized t.i. equilibrium states""""2.6. Gibbs states versus generalized equilibrium states""; ""2.7. Thermodynamics and game theory""; ""2.8. Gap equations and effective theories""; ""2.9. Longa???range interactions and longa???range order (LRO)""; ""2.10. Concluding remarks""; ""Part 2 . Complementary Results""; ""Chapter 3. Periodic Boundary Conditions and Gibbs Equilibrium States""; ""3.1. Interaction kernels""; ""3.2. Periodic boundary conditions""; ""3.3. Pressure and periodic boundary conditions"" 327 $a""3.4. Gibbs and generalized t.i. equilibrium states""""Chapter 4. The Set _{a???a???} of a???a???.a???^{ }a???Invariant States""; ""4.1. GNS representation and the von Neumann ergodic theorem""; ""4.2. The set a??°_{a???a???} of extreme states of a??°_{a???a???}""; ""4.3. Properties of the spacea???averaging functional I??_{ }""; ""4.4. Von Neumann entropy and entropy density of a???a???a???periodic states""; ""4.5. The set a??? as a subset of the dual space a???*""; ""4.6. Wella???definiteness of the freea???energy densities on _{a???a???}""; ""Chapter 5. Permutation Invariant Fermi Systems"" 327 $a""10.6. The Legendrea???Fenchel transform and tangent functionals"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 224, Number 1052. 606 $aThermodynamic equilibrium 606 $aPhase rule and equilibrium 606 $aMathematical models 606 $aNuclear spin 606 $aLong range order (Solid state physics) 615 0$aThermodynamic equilibrium. 615 0$aPhase rule and equilibrium. 615 0$aMathematical models. 615 0$aNuclear spin. 615 0$aLong range order (Solid state physics) 676 $a530.155732 700 $aBru$b J.-B$g(Jean-Bernard),$f1973-$01519508 702 $aPedra$b W. de Siqueira$g(Walter de Siqueira),$f1975- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796035103321 996 $aNon-cooperative equilibria of Fermi systems with long range interactions$93757671 997 $aUNINA