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Related Experiment Video

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Evolution of Staircase Structures in Diffusive Convection

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Published on: September 5, 2018

Thermal equilibrium in Einstein's elevator.

Bernardo Sánchez-Rey¹, Guillermo Chacón-Acosta, Leonardo Dagdug

¹Departamento de Física Aplicada I, EPS, Universidad de Sevilla, Calle Virgen de África 7, 41011 Sevilla, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 18, 2013

Summary

This summary is machine-generated.

Thermal equilibrium is achieved for a classical gas in a uniformly accelerated container. Relativistic simulations show momentum distributions align with Jüttner and modified Jüttner functions, confirming the Tolman-Ehrenfest effect.

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Area of Science:

Relativistic statistical mechanics
Computational physics

Background:

Understanding thermal equilibrium in non-inertial frames is crucial for various physics domains.
The Jüttner function describes relativistic gases in flat spacetime.

Purpose of the Study:

To investigate thermal equilibrium of a classical gas within a uniformly accelerated container.
To verify the applicability of relativistic momentum distribution functions in accelerated frames.

Main Methods:

Fully relativistic molecular-dynamics simulations were employed.
Numerical experiments were conducted to analyze momentum distributions.

Main Results:

The simulations confirmed the appearance of thermal equilibrium.
Local momentum distributions were accurately approximated by the Jüttner function, validating the Tolman-Ehrenfest effect.
Global momentum distributions were described by the modified Jüttner function for large accelerations or container sizes.

Conclusions:

The study demonstrates that classical gases in uniformly accelerated containers reach thermal equilibrium.
Relativistic effects and spacetime curvature are important in understanding these systems.
The Jüttner and modified Jüttner functions are applicable in non-inertial, relativistic scenarios.