Determination of the critical exponents for the λ transition of 4He by high-temperature expansion

被引:39
作者
Campostrini, M
Pelissetto, A
Rossi, P
Vicari, E
机构
[1] Univ Pisa, Dipartimento Fis, I-56126 Pisa, Italy
[2] Ist Nazl Fis Nucl, I-56126 Pisa, Italy
[3] Univ Roma 1, Dipartimento Fis, I-00185 Rome, Italy
[4] Ist Nazl Fis Nucl, I-00185 Rome, Italy
关键词
D O I
10.1103/PhysRevB.61.5905
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We determine the critical exponents for the XY universality class in three dimensions, which is expected to describe the lambda transition in He-4. They are obtained from the analysis of high-temperature series computed for a two-component lambda phi(4) model. The parameter lambda is fixed such that the leading corrections to scaling vanish. We obtain v= 0.67166(55), gamma= 1.3179(11), and alpha= -0.0150(17). These estimates improve previous theoretical determinations and agree with the more precise experimental results for liquid helium.
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页码:5905 / 5908
页数:4
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共 41 条
  • [1] UNBIASED MAP OF THE TEMPERATURE PLANE AND ITS CONSEQUENCES FOR THE D=3 ISING-MODEL
    ADLER, J
    MOSHE, M
    PRIVMAN, V
    [J]. PHYSICAL REVIEW B, 1982, 26 (07): : 3958 - 3959
  • [2] CRITICAL-TEMPERATURES OF THE D=3, S=1/2 ISING-MODEL - THE EFFECT OF CONFLUENT CORRECTIONS TO SCALING
    ADLER, J
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15): : 3585 - 3599
  • [3] NEW METHOD FOR ANALYZING CONFLUENT SINGULARITIES AND ITS APPLICATION TO TWO-DIMENSIONAL PERCOLATION
    ADLER, J
    MOSHE, M
    PRIVMAN, V
    [J]. PHYSICAL REVIEW B, 1982, 26 (03): : 1411 - 1415
  • [4] METHODS OF SERIES ANALYSIS .2. GENERALIZED AND EXTENDED METHODS WITH APPLICATION TO ISING-MODEL
    BAKER, GA
    HUNTER, DL
    [J]. PHYSICAL REVIEW B, 1973, 7 (07): : 3377 - 3392
  • [5] Finite size effects on measures of critical exponents in d=3 O(N) models
    Ballesteros, HG
    Fernandez, LA
    MartinMayor, V
    Sudupe, AM
    [J]. PHYSICS LETTERS B, 1996, 387 (01) : 125 - 131
  • [6] Finite Size Scaling and "perfect" actions:: the three dimensional Ising model
    Ballesteros, HG
    Fernández, LA
    Martin-Mayor, V
    Sudupe, AM
    [J]. PHYSICS LETTERS B, 1998, 441 (1-4) : 330 - 338
  • [7] Scaling corrections:: site percolation and Ising model in three dimensions
    Ballesteros, HG
    Fernández, LA
    Martín-Mayor, V
    Sudupe, AM
    Parisi, G
    Ruiz-Lorenzo, JJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (01): : 1 - 13
  • [8] BELOHOREC P, 1997, UNPUB ACCURATE UNIVE
  • [9] BUCKINGHAM MJ, 1988, NEAR ZERO
  • [10] N-vector spin models on the simple-cubic and the body-centered-cubic lattices: A study of the critical behavior of the susceptibility and of the correlation length by high-temperature series extended to order beta(21)
    Butera, P
    Comi, M
    [J]. PHYSICAL REVIEW B, 1997, 56 (13) : 8212 - 8240