论文信息 - Universal ratios in first-order transitions induced by fluctuations

Universal ratios in first-order transitions induced by fluctuations

The authors show that in first-order transitions induced by fluctuations the ratios of appropriately defined quantities are universal. They are typical of the first-order transition. They compute some of them in the framework of the epsilon -expansion. To facilitate comparison with experiment, the various universal quantities are expressed in terms of quantities measured at a single point-the first-order transition.

D. Amit | G. Parisi

[1] Victor Martin-Mayor,et al. Field Theory, the Renormalization Group and Critical Phenomena , 1984 .

[2] D. Amit,et al. First order transitions induced by fluctuations in general φ4-theories , 1981 .

[3] J. Rudnick. First-order transition induced by cubic anisotropy , 1978 .

[4] C. Bervillier. Universal relations among critical amplitude. Calculations up to order epsilon2 for systems with continuous symmetry , 1976 .

[5] P. Hohenberg,et al. Universal relations among thermodynamic critical amplitudes , 1976 .

[6] S. Trimper,et al. Critical behaviour and cubic anisotropy , 1975 .

[7] M. Fisher,et al. Tests of strong scaling in the three-dimensional Ising model , 1975 .

[8] É. Brézin,et al. Discussion of critical phenomena for general n -vector models , 1974 .

[9] D. Stauffer,et al. Universality of Second-Order Phase Transitions: The Scale Factor for the Correlation Length , 1972 .

[10] Michael E. Fisher,et al. Critical Exponents in 3.99 Dimensions , 1972 .