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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Relativistic Physics

Background:

  • The principle of covariance is fundamental in modern physics, stating the equivalence of all inertial frames.
  • Fluctuation theorems extend the second law of thermodynamics, linking irreversibility to fluctuations in stochastic systems.
  • Existing fluctuation theorems are limited as they assume stationary systems and heat baths, violating the principle of covariance.

Purpose of the Study:

  • To develop covariant forms of fluctuation theorems applicable to moving thermodynamic systems and heat baths.
  • To reconcile the principle of covariance with the laws of thermodynamics for non-stationary scenarios.
  • To provide a theoretical framework for thermodynamics in relativistic settings.

Main Methods:

  • Introduction of covariant work and heat definitions, including energy and momentum components.
  • Development of generalized fluctuation theorems that satisfy the principle of covariance.
  • Application of the framework to relativistic stochastic fields and relativistic Brownian motion.

Main Results:

  • Successfully formulated covariant fluctuation theorems for moving thermodynamic systems and heat baths.
  • Demonstrated the framework's validity through analyses of work and heat statistics in relativistic scenarios.
  • The derived results are applicable in both special relativistic and non-relativistic limits.

Conclusions:

  • This work successfully unifies the principle of covariance with fluctuation theorems.
  • The developed covariant fluctuation theorems offer a more general approach to thermodynamics.
  • Potential applications include studies of cosmic microwave background thermodynamics, radiative heat transfer, and noncontact friction.