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9e86bd1dccd53826bd7b81372da91849437e392cc7f29db2f2e1c30bad16e253  pmc_10378211.pdf

Title:           Non-Equilibrium Thermodynamics of Heat Transport in Superlattices, Graded Systems, and Thermal Metamaterials with Defects
Subject:         In this review, we discuss a nonequilibrium thermodynamic theory for heat transport in superlattices, graded systems, and thermal metamaterials with defects. The aim is to provide researchers in nonequilibrium thermodynamics as well as material scientists with a framework to consider in a systematic way several nonequilibrium questions about current developments, which are fostering new aims in heat transport, and the techniques for achieving them, for instance, defect engineering, dislocation engineering, stress engineering, phonon engineering, and nanoengineering. We also suggest some new applications in the particular case of mobile defects. 
Keywords:        continuum thermodynamics; heat transport; non-equilibrium thermodynamics; superlattices; thermal metamaterials; graded systems
Author:          David Jou and Liliana Restuccia
Creator:         LaTeX with hyperref
Producer:        pdfTeX-1.40.21
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Pages:           50
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 Date: 2025-02-07 02:48:16 CET
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     Item: 
      Title: Introduction
      Destination: section.1
     Item: 
      Title: Current Developments and Frontiers in Heat Transport 
      Destination: section.2
      Children: 
       Item: 
        Title: Simplified Illustrative Expression for the Thermal Conductivity
        Destination: subsection.2.1
       Item: 
        Title: Three Current Frontiers in Functional Materials for Controlled Heat Transport
        Destination: subsection.2.2
        Children: 
         Item: 
          Title: Superlattices
          Destination: subsubsection.2.2.1
         Item: 
          Title: Functionally Graded Materials
          Destination: subsubsection.2.2.2
         Item: 
          Title: Thermal Metamaterials
          Destination: subsubsection.2.2.3
       Item: 
        Title: Some Engineering Strategies for the Control of Transport Coefficients
        Destination: subsection.2.3
        Children: 
         Item: 
          Title: Defect Engineering
          Destination: subsubsection.2.3.1
         Item: 
          Title: Dislocation Engineering
          Destination: subsubsection.2.3.2
         Item: 
          Title: Stress Engineering
          Destination: subsubsection.2.3.3
         Item: 
          Title: Phonon Engineering
          Destination: subsubsection.2.3.4
     Item: 
      Title: Some Illustrations of New Functional Aims in Heat Transport
      Destination: section.3
      Children: 
       Item: 
        Title: Heat Rectification and Thermal Diodes 
        Destination: subsection.3.1
       Item: 
        Title: Negative Differential Thermal Conductivity, Thermal Transistors
        Destination: subsection.3.2
       Item: 
        Title: Efficiency of Thermoelectric Energy Conversion
        Destination: subsection.3.3
       Item: 
        Title: Thermal Cloak and Thermal Concentration
        Destination: subsection.3.4
       Item: 
        Title: Oscillations and Wave Propagation
        Destination: subsection.3.5
     Item: 
      Title: Main Equations
      Destination: section.4
      Children: 
       Item: 
        Title: Selection of Variables
        Destination: subsection.4.1
       Item: 
        Title: Governing Equations
        Destination: subsection.4.2
       Item: 
        Title: Second-Law Restrictions
        Destination: subsection.4.3
     Item: 
      Title: Constitutive Theory and Rate Equations for Charges, Heat, and Defect Field
      Destination: section.5
      Children: 
       Item: 
        Title: Constitutive Relations: Equations of State
        Destination: subsection.5.1
       Item: 
        Title: Rate Equations for the Fluxes and the Defects
        Destination: subsection.5.2
       Item: 
        Title: Conditions at the Interfaces
        Destination: subsection.5.3
     Item: 
      Title: Systems with Mobile Defects Some New Results and Possible Applications
      Destination: section.6
      Children: 
       Item: 
        Title: A Mathematical Model for a Thermal Transistor Based on Mobile Defects
        Destination: subsection.6.1
       Item: 
        Title: Steady-State Nonlinear Heat Transport in Superlattices with Mobile Defects 
        Destination: subsection.6.2
       Item: 
        Title: Charged Mobile Defects: Electrical Production of Heat Waves
        Destination: subsection.6.3
       Item: 
        Title: Coupled Defect Waves and Temperature Waves
        Destination: subsection.6.4
       Item: 
        Title: Coupled Electronic Waves and Dislocation Waves
        Destination: subsection.6.5
       Item: 
        Title: Temperature Waves
        Destination: subsection.6.6
     Item: 
      Title: Summary and Outlook
      Destination: section.7
     Item: 
      Title: References
      Destination: section.8
   Info: 
    Title: Non-Equilibrium Thermodynamics of Heat Transport in Superlattices, Graded Systems, and Thermal Metamaterials with Defects
    Author: David Jou and Liliana Restuccia
    Subject: In this review, we discuss a nonequilibrium thermodynamic theory for heat transport in superlattices, graded systems, and thermal metamaterials with defects. The aim is to provide researchers in nonequilibrium thermodynamics as well as material scientists with a framework to consider in a systematic way several nonequilibrium questions about current developments, which are fostering new aims in heat transport, and the techniques for achieving them, for instance, defect engineering, dislocation engineering, stress engineering, phonon engineering, and nanoengineering. We also suggest some new applications in the particular case of mobile defects. 
    Keywords: continuum thermodynamics; heat transport; non-equilibrium thermodynamics; superlattices; thermal metamaterials; graded systems
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