Violating of the Essam-Fisher and Rushbrooke Relationships at Low Temperatures

• 作者: Vladimir Udodov
• 来源期刊: 凝固态物理国际期刊(英文)
• 学科: 医学
• 关键词: Essam-Fisher and Rushbrooke RELATIONSHIPS The Equilibrium Critical EXPONENTS The SCALING HYPOTHESIS Low TEMPERATURES
• 年，卷（期）: 2015,（2）
• 页码范围: 55-59
• 页数: 5页
• 分类号: R73

摘要

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.