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Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
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Characterization of Thermal Transport in One-dimensional Solid Materials
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Electron transfer across a thermal gradient.

Galen T Craven1, Abraham Nitzan2

  • 1Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104;

Proceedings of the National Academy of Sciences of the United States of America
|July 25, 2016
PubMed
Summary
This summary is machine-generated.

This study presents a new theory for electron transfer across temperature differences, explaining how charge and heat move together at the nanoscale. This work unifies understanding of charge transport and heat conduction in bithermal systems.

Keywords:
Marcus theoryelectron transferheat transferthermal gradienttransition state theory

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Area of Science:

  • Physical Chemistry
  • Nanoscale Science
  • Theoretical Physics

Background:

  • Charge transfer is crucial in chemistry and biology.
  • Nanoscale charge and heat transport are increasingly studied.
  • Monitoring temperature at high resolution necessitates understanding thermal gradients in electron transfer.

Purpose of the Study:

  • To develop a theory for electron transfer rates and heat transport between donor-acceptor pairs at different temperatures.
  • To investigate the relationship between electronic driving bias and heat exchange.
  • To unify theories of charge transport and heat conduction.

Main Methods:

  • Generalized multidimensional transition state theory was applied.
  • A bithermal property replaced the traditional Arrhenius activation energy concept.
  • Statistical weighting over equienergetic configurations was used.

Main Results:

  • A theory for electron transfer rate and associated heat transport across thermal gradients was developed.
  • Relations for heat exchange were derived as functions of temperature difference and electronic bias.
  • Electron transfer channels enhance heat transport even in electronic equilibrium.

Conclusions:

  • The study provides a unified theory for charge transport and heat conduction between sites at different temperatures.
  • The findings are relevant for understanding nanoscale energy transfer phenomena.
  • This work bridges the gap between charge transfer and thermal transport theories.