TITLE:
Violating of the Essam-Fisher and Rushbrooke Relationships at Low Temperatures
AUTHORS:
Vladimir Udodov
KEYWORDS:
Essam-Fisher and Rushbrooke Relationships, The Equilibrium Critical Exponents, The Scaling Hypothesis, Low Temperatures
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.5 No.2,
April
1,
2015
ABSTRACT: The
Essam-Fisher and Rushbrooke relationships (1963) that connect the equilibrium
critical exponents of susceptibility, specific heat and order parameter (and
some other relations that follow from the scaling hypothesis) are shown to be
valid only if the critical temperature TС > 0 and T → TC. For phase transitions (PT’s) with TC = 0 K these relations are proved to be of different form. This fact has
been actually observed experimentally, but the reasons were not quite clear. A
general formula containing the classical results as a special case is proposed.
This formula is applicable to all equilibrium PT’s of any space dimension for
both TC = 0 and TC > 0. The predictions of
the theory are consistent with the available experimental data and do not cast
any doubts upon the scaling hypothesis.