Statistical Mechanics: Selecta of Elliott H. LiebSpringer Science & Business Media, 29 พ.ย. 2004 - 508 หน้า In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors. |
เนื้อหา
A Survey by the Editors | 3 |
with J L Lebowitz | 13 |
in the Second Virial Coefficient of a Real | 27 |
and Multicomponent Ferromagnets with A D Sokal | 93 |
and Nonisotropic Interactions with F J Dyson and B Simon | 163 |
with J Fröhlich R B Israel and B Simon | 247 |
Antiferromagnets with T Kennedy and S Shastry | 315 |
of the Ground State for Lattice Systems with M Aizenman | 333 |
with J Yngvason | 353 |
with O E Lanford and J L Lebowitz | 391 |
Asymptotic Expansion for the Plane Rotator Model | 401 |
W Robinson | 425 |
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คำและวลีที่พบบ่อย
A₁ adiabatic anisotropic antiferromagnet Barry Simon boundary conditions canonical flux chessboard estimates classical Commun configuration consider contour convex Coulomb defined definition denote dimensions dimer Dyson E. H. Lieb edge weights eigenvalues Elliott H entropy equilibrium example existence ferromagnet finite free energy Fröhlich Gaussian given graph ground H₁ Hamiltonian Heisenberg model implies inequality infrared bounds integral interaction Ising model Jürg Fröhlich lattice systems Lee-Yang theorem Lemma Lett long-range order lower bound magnetic Math Mathematical matrix method Monomer-Dimer Systems nearest neighbor Néel order obtain P₁ particles partition function Peierls argument Phase Transitions Phys Physics plane polynomial problem proof Proposition prove Quantum Spin Quantum Spin Systems reflection positivity Remark resp result Section statistical mechanics symmetry temperature theory thermodynamic limit Transitions and Reflection upper bound variables vector vertex vertices zero