Measure of Ordering in Statistical Systems

In this paper, we introduce a phenomenological measure of ordering in statistical systems. Using this characteristic, we construct a formal model of a system evolving according to the law of steepest ascent as the control parameter increases.     

One Property of the Renormalization Group Operator

We use an isotropic ferromagnet as an example to show that the renormalization group operator can be interpreted as an evolution operator for a system of spins evolving with an increase of the reduced temperature, i.e., as the order operator of the system.