Cumulant expansion for systems with large spins

被引:15
|
作者
Kladko, K
Fulde, P
Garanin, DA
机构
[1] Univ Calif Los Alamos Natl Lab, Condensed Matter Phys Grp, Los Alamos, NM 87545 USA
[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Div Theoret, Los Alamos, NM 87545 USA
[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
来源
EUROPHYSICS LETTERS | 1999年 / 46卷 / 04期
关键词
D O I
10.1209/epl/i1999-00104-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method is proposed for obtaining a systematic expansion of thermodynamic functions of spin systems with large spin S in powers of 1/S. It uses the cumulant technique and a coherent-state representation of the partition function Z. The expansion of Z in terms of cumulants yields an effective classical I Hamiltonian with temperature-dependent quantum corrections. For the Heisenberg quantum Hamiltonian, they have a non-Heisenberg form. The effective Hamiltonian can be solved by methods familiar for classical systems.
引用
收藏
页码:425 / 430
页数:6
相关论文
共 50 条
  • [21] NON-GAUSSIAN DISTRIBUTIONS IN DISORDERED-SYSTEMS STUDIED BY THE CUMULANT EXPANSION OF EXAFS
    DALBA, G
    FORNASINI, P
    ROCCA, F
    SADOC, A
    JOURNAL DE PHYSIQUE IV, 1992, 2 (C2): : 207 - 210
  • [22] Cumulant expansion for studying damped quantum solitons
    Schmidt, E
    Knöll, L
    Welsch, DG
    PHYSICAL REVIEW A, 1999, 59 (03): : 2442 - 2457
  • [23] Cumulant expansion for the p-d model
    Universita di Salerno, Baronissi, Italy
    Phys B Condens Matter, (448-450):
  • [24] FACTORIZED CUMULANT EXPANSION FOR HOMOGENEOUS TURBULENCE.
    Tatsumi, Tomomasa
    Yamada, Michio
    Takei, Toshifumi
    Fluid Dynamics Research, 1986, 1 (01) : 59 - 75
  • [25] Cumulant expansion for the p-d model
    Citro, R
    Marinaro, M
    PHYSICA B, 1997, 230 : 448 - 450
  • [26] A DEFICIENCY OF THE CUMULANT EXPANSION OF THE ANHARMONIC TEMPERATURE FACTOR
    SCHERINGER, C
    ACTA CRYSTALLOGRAPHICA SECTION A, 1985, 41 (JAN): : 79 - 81
  • [27] MONTE-CARLO AND CUMULANT EXPANSION STUDIES OF FERRIMAGNETIC ORDER IN ISING AND CLASSICAL HEISENBERG SYSTEMS
    BROWN, JR
    JENKINS, RCL
    PRICE, S
    PROYKOVA, YG
    SALT, DW
    TINSLEY, CJ
    HUNTER, GJA
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1992, 104 (pt 1) : 207 - 208
  • [29] Cumulant expansion framework for internal gradient distributions tensors
    Perez, Leonardo A. Pedraza
    Alvarez, Gonzalo A.
    JOURNAL OF MAGNETIC RESONANCE OPEN, 2023, 16
  • [30] Statistics of an unstable barotropic jet from a cumulant expansion
    Marston, J. B.
    Conover, E.
    Schneider, Tapio
    JOURNAL OF THE ATMOSPHERIC SCIENCES, 2008, 65 (06) : 1955 - 1966