Correlations in the thermodynamical theory of phase transitions of the second kind. III

In the frameworks of the geometrical approach developed earlier, the situation is considered when in the branch point of the zero-field curve the first non-vanishing derivatives of the Gibbs potential w.r.t., the order parameters are of the sixth order, and w.r.t. the "critical" correlation parameters are of the tenth order. The conditions are determined when a second-order phase transition is possible in the branch point of the zero-filed curve. The critical exponents obtained are alpha(1) = alpha(1)', = 0, alpha(2) = alpha(2') = -1/5, beta = 2/5, gamma = gamma' = 6/5, delta = 4, epsilon = 0. (C) 1998 Elsevier Science B.V. All rights reserved.