TY - JOUR
T1 - Logarithmic corrections to the mean-field theory of tricritical points
AU - Stephen, Michael J.
AU - Abrahams, Elihu
AU - Straley, Joseph P.
PY - 1975
Y1 - 1975
N2 - The logarithmic corrections to the mean-field theory of symmetrical tricritical points in three dimensions are derived using a graphical method. The free energy, equation of state, and other thermodynamic quantities are obtained in the disordered and ordered phases. The difference in thermodynamic potential between the ordered and disordered states takes the form G=μ32L12(r)×g(Qμ-12L12-p(r),ζμ-54L-14(r)), where the fields μ and Q are measured normal and tangential to the critical line, respectively, ζ is the field which couples to the order parameter, r is the inverse susceptibility, and L(r)∼lnr. The exponent p depends on the number of components of the order parameter. This form for the free energy differs from that found by Wegner and Riedel.
AB - The logarithmic corrections to the mean-field theory of symmetrical tricritical points in three dimensions are derived using a graphical method. The free energy, equation of state, and other thermodynamic quantities are obtained in the disordered and ordered phases. The difference in thermodynamic potential between the ordered and disordered states takes the form G=μ32L12(r)×g(Qμ-12L12-p(r),ζμ-54L-14(r)), where the fields μ and Q are measured normal and tangential to the critical line, respectively, ζ is the field which couples to the order parameter, r is the inverse susceptibility, and L(r)∼lnr. The exponent p depends on the number of components of the order parameter. This form for the free energy differs from that found by Wegner and Riedel.
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U2 - 10.1103/PhysRevB.12.256
DO - 10.1103/PhysRevB.12.256
M3 - Article
AN - SCOPUS:2242478000
SN - 0163-1829
VL - 12
SP - 256
EP - 262
JO - Physical Review B
JF - Physical Review B
IS - 1
ER -