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Local Equilibrium in Transient Heat Conduction.

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Summary
This summary is machine-generated.

This study introduces a new approach to extended irreversible thermodynamics (EIT) for modeling fast transport phenomena. It maintains thermodynamic consistency without abandoning the local equilibrium hypothesis, offering an alternative to existing EIT methods.

Keywords:
irreversible thermodynamicslocal equilibriumthermodynamic inertia

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Area of Science:

  • Thermodynamics
  • Transport Phenomena
  • Solid State Physics

Background:

  • Classical irreversible thermodynamics struggles with fast transport phenomena.
  • Extended irreversible thermodynamics (EIT) addresses these limitations by introducing fluxes as independent variables and rejecting the local equilibrium hypothesis.
  • Existing EIT models may not be suitable for all high-frequency and non-local processes.

Purpose of the Study:

  • To propose an alternative approach to extended irreversible thermodynamics (EIT).
  • To develop a thermodynamically consistent framework for fast transport phenomena that retains the local equilibrium hypothesis.
  • To apply the proposed method to transient heat conduction problems.

Main Methods:

  • Utilizing the rates of change of energy density as an additional independent variable.
  • Formulating a Cattaneo-type flux model incorporating thermodynamic inertia.
  • Developing a two-temperature model for energy transfer in phonon-electron systems.

Main Results:

  • The proposed approach provides a thermodynamically consistent description of transient heat conduction.
  • Demonstrated the applicability of the method to models with thermodynamic inertia and phonon-electron interactions.
  • Offered a viable alternative to EIT methods that reject the local equilibrium hypothesis.

Conclusions:

  • The alternative EIT approach successfully models fast transport phenomena while preserving the local equilibrium hypothesis.
  • This method offers a new perspective for analyzing complex thermal transport processes.
  • The findings contribute to a more robust understanding of irreversible thermodynamics in dynamic systems.