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Related Concept Videos

Maxwell-Boltzmann Distribution: Problem Solving01:20

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
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The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
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The Relativistic Boltzmann Equation and Two Times.

L P Horwitz1,2,3

  • 1School of Physics, Tel Aviv University, Ramat Aviv 69978, Israel.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a relativistic Boltzmann equation where observed time can decrease, defining antiparticles. It explores how particle-antiparticle interactions, like pair annihilation, can lead to decreasing antiparticle entropy.

Keywords:
Einstein-Maxwell timeSHP theoryantiparticlesentropy flowinvariant world timerelativistic Boltzmann equation

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Area of Science:

  • Relativistic statistical mechanics
  • Particle physics
  • Cosmology

Background:

  • The standard Boltzmann equation describes particle systems in spacetime.
  • Relativistic effects and particle-antiparticle distinctions require advanced theoretical frameworks.

Purpose of the Study:

  • To present a covariant relativistic Boltzmann equation.
  • To explore the implications for entropy evolution, particularly concerning antiparticles.

Main Methods:

  • Developed a covariant relativistic Boltzmann equation using a universal invariant parameter τ.
  • Analyzed the relationship between observed time (t) and τ, considering particle interactions.

Main Results:

  • Observed time (t) is not always monotonic with τ; decreasing t(τ) signifies antiparticles.
  • Demonstrated that in pair annihilation regions, antiparticle entropy can decrease.

Conclusions:

  • The covariant relativistic Boltzmann equation provides a novel framework for understanding particle and antiparticle behavior.
  • Entropy evolution in relativistic systems, especially during annihilation, exhibits complex dynamics.