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Updated: Jun 11, 2025

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Classical acceleration temperature (CAT) in a box
Ahsan Mujtaba1,2,3, Maksat Temirkhan4, Yen Chin Ong5,6
1Physics Department & Energetic Cosmos Laboratory, Nazarbayev University, 010000, Astana, Qazaqstan, Kazakhstan. ahsan.mujtaba@nu.edu.kz.
An accelerating electron emits thermal radiation, behaving like a black body. This study presents the first fully analyzed finite-distance worldline for this phenomenon, enabling table-top experiments.
Area of Science:
- Theoretical physics
- Quantum mechanics
- Electromagnetism
Background:
- Confined, accelerating charges are crucial in physics.
- Spatial constraints in laboratories limit studies of rectilinear motion.
- Finite travel distances offer a balance between theoretical simplicity and experimental feasibility.
Purpose of the Study:
- To demonstrate thermal radiation emission from a confined, non-relativistic, accelerating electron.
- To analyze the power, spectra, and energy of radiation from a finite-distance worldline.
- To establish a theoretical framework for table-top experiments on electron acceleration and radiation.
Main Methods:
- Theoretical analysis of an accelerated charge moving along an asymptotically static worldline.
- Parametrization of a finite total travel distance and non-relativistic maximum speed.
- Calculation of self-consistent analytic power, spectra, and energy.
Main Results:
- The accelerating electron emits classical thermal radiation.
- The emitted radiation follows a Planck distribution.
- An associated acceleration temperature is identified for the emitted radiation.
Conclusions:
- This work provides the first fully parametrized, spectrum-solved, finite-distance worldline for an accelerating charge.
- The findings suggest that thermal radiation from accelerating charges can be studied in controlled, table-top experimental settings.
- The concept of acceleration temperature offers a new perspective on radiation from accelerated charges.
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