大学物理 ›› 2026, Vol. 45 ›› Issue (3): 11-.

• 教学讨论 • 上一篇    下一篇

力-电-磁热力学效应间的雅可比等价变换

曹万强,张蕾,潘瑞琨   

  1. 湖北大学 材料科学与工程学院功能材料绿色制备与应用教育部重点实验室,湖北 武汉430062
  • 收稿日期:2026-06-13 修回日期:2025-09-16 出版日期:2026-05-15 发布日期:2026-06-04
  • 作者简介:曹万强(1962—),男,浙江宁波人,湖北大学材料学院教授,博士,主要从事材料物理教学和铁电体基础理论研究工作.
  • 基金资助:
    国际(地区)合作与交流项目(62261136552)资助

Jacobianequivalent transformation for thermodynamic effects among mechanics, electricity and magnetism#br#

CAO Wanqiang, ZHANG Lei, PAN Ruikun   

  1. Key Laboratory of Green Preparation and Application of Functional Materials, Ministry of Education, School of Materials Science 
    and Engineering, Hubei University, Wuhan, Hubei 430062, China
  • Received:2026-06-13 Revised:2025-09-16 Online:2026-05-15 Published:2026-06-04

摘要: 提出了将热力学方法用于表征电磁互作用系统的方法. 热力学系统可以用雅可比行列式对表征力与热效应的偏导数进行等价变换. 可以将包含力、热、电和磁的系统划分为对应的多个子系统,用雅可比行列式简洁快速地推导出相关效应的关联等价效应,如直接加电场得到磁性与加磁场得到电性的等价关系,或者通过电-力及力-磁关系将复杂的效应分解为多个简单效应,用雅可比行列式建立关联. 通过等价变换提供电与磁的分析方法.


关键词: 热力学效应, 电磁耦合, 雅可比行列式, 等价变换

Abstract: A method for characterizing electromagnetic interaction systems using thermodynamic methods is proposed. Thermodynamic systems can be equivalently transformed by Jacobian determinant for partial derivatives characterizing mechanical and thermal effects. A system can be divided into multiple corresponding subsystems according to its mechanic, thermal, electric and magnetic properties. The associated equivalent effects of the related effects can be derived concisely and quickly by Jacobian determinants, such as the equivalent relationship between obtaining magnetism directly by applying an electric field and obtaining electricity by applying a magnetic field, or the complex effects can be decomposed into multiple simple effects through the electricity-mechanics and mechanics-magnetism relationships, and the correlations can be established by using the Jacobian determinants. The analysis methods of electricity and magnetism are provided through equivalent transformation.

Key words:  thermodynamic effect, electromagnetic coupling, Jacobian determinant, equivalent transformation