1975/07/01 by Michael J. Stephen, Elihu Abrahams, Joseph P. Straley · 3 citations
Physics and Astronomy · Earth and Planetary Sciences · #Theoretical and Computational Physics #Physics of Superconductivity and Magnetism #nanoparticles nucleation surface interactions
paper · doi:10.1103/physrevb.12.256
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=\ensuremathμ(3)/(2)L(1)/(2)(r)\ifmmode×\else\texttimes\fig(Q\ensuremathμ^\frac\ensuremath-12L^(1)/(2)\ensuremath-p(r),\ensuremathζ\ensuremathμ^\frac\ensuremath-54L^\frac\ensuremath-14(r)), where the fields \ensuremathμ and Q are measured normal and tangential to the critical line, respectively, \ensuremathζ is the field which couples to the order parameter, r is the inverse susceptibility, and L(r)\ensuremath∼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.