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Related Concept Videos

Mechanisms of Heat Transfer I01:14

Mechanisms of Heat Transfer I

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.
Mechanisms of Heat Transfer II01:20

Mechanisms of Heat Transfer II

In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
Mechanisms of Heat Transfer01:14

Mechanisms of Heat Transfer

Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant heat.
Mechanism of heat transfer01:19

Mechanism of heat transfer

Understanding heat transfer mechanisms is essential for understanding how our bodies maintain balance in different environmental conditions. When the environment is thermoneutral, the body is in a state of balance, neither using nor releasing energy to maintain its core temperature. However, when the environment is not thermoneutral, the body employs four heat transfer mechanisms to maintain homeostasis: conduction, convection, evaporation, and radiation. These mechanisms facilitate heat...
Theory of Metallic Conduction01:17

Theory of Metallic Conduction

The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Temperature and Thermal Equilibrium01:11

Temperature and Thermal Equilibrium

Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
The concept of temperature has evolved from the common concepts of hot and cold. The scientific definition of temperature explains more than just our sense of hot and cold. Temperature is operationally defined as the quantity measured with a thermometer. Furthermore, temperature is...

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Characterization of Thermal Transport in One-dimensional Solid Materials
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Published on: January 26, 2014

Equilibration and universal heat conduction in fermi-pasta-ulam chains.

Trieu Mai1, Abhishek Dhar, Onuttom Narayan

  • 1Department of Physics, University of California, Santa Cruz, California 95064, USA.

Physical Review Letters
|May 16, 2007
PubMed
Summary

Numerical simulations reveal paradoxical local temperature behavior in Fermi-Pasta-Ulam (FPU) chains with alternating masses. Equal mass chains show diverging thermal conductivity, impacting one-dimensional heat conduction universality.

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Area of Science:

  • Nonlinear dynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • The Fermi-Pasta-Ulam (FPU) chain is a fundamental model for studying energy transfer and thermalization in nonlinear systems.
  • Understanding heat conduction in one-dimensional systems is crucial for fundamental physics and materials science.

Purpose of the Study:

  • To investigate the steady-state local temperature (LT) behavior in FPU chains with alternating masses and temperature gradients.
  • To analyze the thermal conductivity and its dependence on chain length (N) in these systems.
  • To clarify the universality of one-dimensional heat conduction and explain discrepancies in previous simulations.

Main Methods:

  • Numerical simulations of FPU chains with alternating masses.
  • Application of heat baths at different temperatures at the chain ends.
  • Analysis of local temperature profiles and thermal conductivity scaling with chain length.

Main Results:

  • Paradoxical behavior of local temperature on small scales in FPU chains with alternating masses under steady-state conditions.
  • For equal mass chains, thermal conductivity diverges as N(1/3) with increasing chain length.
  • Explanation provided for systematically higher exponents observed in earlier simulations.

Conclusions:

  • The study expands the understanding of thermalization and heat transport in FPU models.
  • The observed N(1/3) divergence challenges assumptions about universality in 1D heat conduction.
  • The findings offer insights into the complex dynamics of energy transport in disordered and mass-imbalanced systems.