On the free energy of systems with dipole-dipole interactions

作者: E R Smith , J W Perram

DOI: 10.1088/0305-4470/8/7/016

关键词: Thermodynamic integrationCondensed matter physicsCoulombDipoleMagnetizationPhysicsIsing modelQuantum electrodynamicsField (physics)Cubic crystal systemThermodynamic limit

摘要: The method used by Penrose and Smith (1972) to study the thermodynamic limit of free energy a system with Coulomb interactions an applied field is examined for simple cubic Ising model pure dipole-dipole in zero field. This related at constant magnetization calculated usual way.

参考文章(8)
J. L. Lebowitz, O. Penrose, Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition Journal of Mathematical Physics. ,vol. 7, pp. 98- 113 ,(1966) , 10.1063/1.1704821
O. Penrose, E. R. Smith, Thermodynamic limit for classical systems with Coulomb interactions in a constant external field Communications in Mathematical Physics. ,vol. 26, pp. 53- 77 ,(1972) , 10.1007/BF01877547
D. J. Gates, O. Penrose, The van der Waals limit for classical systems. I. A variational principle Communications in Mathematical Physics. ,vol. 15, pp. 255- 276 ,(1969) , 10.1007/BF01645528
Robert B. Griffiths, Free Energy of Interacting Magnetic Dipoles Physical Review. ,vol. 176, pp. 655- 659 ,(1968) , 10.1103/PHYSREV.176.655
E.R. Smith, J.W. Perram, Thermodynamic limit for a system with dipole-dipole interactions Physics Letters A. ,vol. 50, pp. 294- 296 ,(1974) , 10.1016/0375-9601(74)90758-0
Michael E. Fisher, The free energy of a macroscopic system Archive for Rational Mechanics and Analysis. ,vol. 17, pp. 377- 410 ,(1964) , 10.1007/BF00250473
J. L. Lebowitz, Elliott H. Lieb, Existence of Thermodynamics for Real Matter with Coulomb Forces Physical Review Letters. ,vol. 22, pp. 631- 634 ,(1969) , 10.1103/PHYSREVLETT.22.631
Freeman J. Dyson, A. Lenard, Stability of Matter. I Journal of Mathematical Physics. ,vol. 8, pp. 423- 434 ,(1967) , 10.1063/1.1705209