Related Experiment Video
Updated: Apr 25, 2026

Optical Trap Loading of Dielectric Microparticles In Air
Published on: February 5, 2017
Equilibration of a Tonks-Girardeau gas following a trap release
Mario Collura1, Spyros Sotiriadis1, Pasquale Calabrese1
1Dipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy.
Abstract:
We study the nonequilibrium dynamics of a Tonks-Girardeau gas released from a parabolic trap to a circle. We present the exact analytic solution of the many body dynamics and prove that, for large times and in a properly defined thermodynamic limit, the reduced density matrix of any finite subsystem converges to a generalized Gibbs ensemble. The equilibration mechanism is expected to be the same for all one-dimensional systems.
Related Concept Videos
The Joule and Joule–Thomson Experiments
Le Chatelier's Principle: Changing Volume (Pressure)
Joule-Thomson Effect
This experiment forces high-pressure gas through a throttle valve or a porous plug to a lower-pressure region. The gas expands as it passes through to...
Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:
Path Between Thermodynamics States
Equilibrium Conditions for a Particle
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...

