Free energy of 3D Ising-like system near the phase transition point`

Abstract

A generalized representation for the scaling form of free energy of the system near the phase transition point is proposed. Explicit expressions for coefficients as functions of the reduced temperature and external field in the case of T > Tc are obtained at the microscopic level.

The order parameter and susceptibility of the 3D Ising-like system in an external field near the phase transition point

“…These calculations were first realized by K.Wilson [13,14]. In our work we will use the CV method proposed by I.Yukhnovskii [5] being generalized to the case of an external field present in [15]. Based on it, the step-by-step integration of the partition function over the layers of the CV phase space leads to the following expression…”

“…The explicit expression for quantities Q(d) and Q n are given in [15]. Specifically, Q n corresponds with the partial partition function of the n-th layer (or, in other words, the n-th block structure) and is expressed in the form…”

“…The explicit expression for Z LGR is presented in [15] and for Z IGR in [17], respectively. Especially,…”

“…In this work we make use of somewhat different (in comparison with [15][16][17]) expressions for the exit point…”

“…In contrast to recent papers [15,17], in the present work for calculations of partition function we use slightly smaller values of the system exit point from CR order parameter fluctuations. In [15] the expression…”