Statistical mechanics of quantum spin systems. III
نویسندگان
چکیده
منابع مشابه
Statistical Mechanics of Quantum Spin Systems. Ill
In the algebraic formulation the thermodynamic pressure, or free energy, of a spin system is a convex continuous function P defined on a Banach space ~3 of translationally invariant interactions. We prove that each tangent functional to the graph of P defines a set of translationally invariant thermodynamic expectation values, l~Iore precisely each tangent functional defines a translationally i...
متن کاملEquilibrium statistical mechanics of bipartite spin systems
Aim of this paper is to give an extensive treatment of bipartite mean field spin systems, ordered and disordered: at first, bipartite ferromagnets are investigated, achieving an explicit expression for the free energy trough a new minimax variational principle. Furthermore via the Hamilton-Jacobi technique the same free energy structure is obtained together with the existence of its thermodynam...
متن کاملDesigner spin systems via inverse statistical mechanics
Robert A. DiStasio, Jr.,1 Étienne Marcotte,2 Roberto Car,1,2,3,4 Frank H. Stillinger,1 and Salvatore Torquato1,2,3,4 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA 3Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, New Jersey 08544, USA...
متن کاملStatistical mechanics of quantum-classical systems
The statistical mechanics of systems whose evolution is governed by mixed quantum-classical dynamics is investigated. The algebraic properties of the quantum-classical time evolution of operators and of the density matrix are examined and compared to those of full quantum mechanics. The equilibrium density matrix that appears in this formulation is stationary under the dynamics and a method for...
متن کاملQuantum Statistical Mechanics for Nonextensive Systems II
In this paper, the Green function theory of quantum many-particle systems recently presented is reworked within the framework of nonextensive statistical mechanics with a new normalized q-expectation values. This reformulation introduces a renormalization of temperature of the earlier theory and a self-consistency condition. The linear response theory is also presented, along with its two-parti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1968
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01654286