Heat flux in one-dimensional systems.

Area of Science:

• Theoretical Physics
• Condensed Matter Physics

Background:

• Heat transport in one-dimensional (1D) systems presents unique challenges due to macroscopic inhomogeneities, long-range correlations, and large fluctuations.
• These phenomena violate locality, impacting bulk material properties and complicating the interpretation of microscopic quantities in thermodynamic terms.

Purpose of the Study:

• To investigate heat conduction in classical nonlinear oscillator chains.
• To analyze the contributions of convective and conductive heat flux components.

Main Methods:

• Utilized both Lagrangian and Eulerian approaches to model heat transport.
• Examined the behavior of heat flux components under varying temperature conditions and pressures.

Main Results:

• The Eulerian definition of heat flux comprises convective and conductive components.
• The convective component becomes dominant at high temperatures, where the system behaves more like a gas.
• A negative convective heat flux component was observed in the presence of negative pressure.

Conclusions:

• The study provides insights into anomalous energy transport in 1D systems.
• Understanding the interplay between temperature, pressure, and heat flux components is crucial for 1D systems.
• The findings contribute to the theoretical understanding of heat conduction in classical nonlinear systems.