Abstract:
An approximate differential equation of the renormalization group for a d-dimensional
system with degenerate n-component order parameter is found by the methods of
functional integration without the use of perturbation theory.
Citation:
I. A. Vakarchuk, Yu. K. Rudavskii, I. R. Yukhnovskii, “Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group”, TMF, 50:2 (1982), 313–320; Theoret. and Math. Phys., 50:2 (1982), 204–209
This publication is cited in the following 8 articles:
Z. E. Usatenko, M. P. Kozlovskii, “Thermodynamic characteristics of the classicaln-vector magnetic model in three dimensions”, Phys. Rev. B, 62:14 (2000), 9599
I. V. Pylyuk, “Critical behavior of the three-dimensional Ising sistem: Dependence of themodynamic characteristics on microscopic parameters”, Theoret. and Math. Phys., 117:3 (1998), 1459–1482
Z.E. Usatenko, M.P. Kozlovskii, “Investigation of the critical behaviour of n-component magnetic model”, Materials Science and Engineering: A, 226-228 (1997), 732
M.P. Kozlovskii, I.V. Pylyuk, V.V. Dukhovii, “Equation of state of the 3D Ising model with an exponentially decreasing potential in the external field”, Journal of Magnetism and Magnetic Materials, 169:3 (1997), 335
M. P. Kozlovskii, “Nonasymptotic form of the recursion relations of the three-dimensional Ising model”, Theoret. and Math. Phys., 78:3 (1989), 300–308
N.S. Gonchar, “Correlation functions of some continuous model systems and description of phase transitions”, Physics Reports, 172:5 (1989), 175
I. R. Yukhnovs'kii, “Solution of the three-dimensional Ising model for description of the second-order phase transition”, Riv. Nuovo Cim., 12:1 (1989), 1
I. A. Vakarchuk, Yu. K. Rudavskii, “Approximate renormalization group transformation in the theory of phase transitions
II. Equation for fixed points and linear operator of the renormalization group”, Theoret. and Math. Phys., 51:1 (1982), 382–387
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