critical phenomena;
pair correlation function;
scale transformations;
scale invariance;
optical diagnostics of critical state of fluids;
CRITICAL-POINT;
DENSITY;
PREDICTION;
BEHAVIOR;
MODEL;
D O I:
10.1134/S1990793124701331
中图分类号:
O64 [物理化学(理论化学)、化学物理学];
O56 [分子物理学、原子物理学];
学科分类号:
070203 ;
070304 ;
081704 ;
1406 ;
摘要:
In this paper, the "fluctuation theorem" was solved for the first time in a direct way on the mesoscopic length scale. An analytical expression was obtained for the pair correlation function of the critical state of the fluid; the parameter of the function is the density variance, which is easily reconstructed from optical experiments. Comparison of the obtained result with the Ornstein-Zernike pair correlation function made it possible to determine the Fisher correction eta = 0.25, which increases the convergence. It was shown that the obtained results provide a reliable theoretical basis for optical diagnostics of the statistical state of critical fluids.