Work done on a single-particle gas during an adiabatic compression/expansion process
arXiv:1909.11750 · doi:10.1103/PhysRevE.100.042110
Abstract
We compute the average work done by an external agent, driving a piston at constant speed, over a single particle gas going through an adiabatic compression and expansion process. To do so, we get the analytical expression relating the number of collisions between the piston and the particle with the position of the piston during the process. The ergodicity breaking of the system during the process is identified as the source of its irreversibility. In addition, we observe that by using particular initial distributions for the state of the particle, it is possible to preclude the possibility of a net energy transfer from the agent to the particle during the process.
arXiv comment12 pages, 8 figures, accepted for publication at Physical Review E
References in corpus (5)
- The Physics and Mathematics of the Second Law of Thermodynamics
- On practical applicability of the Jarzynski relation in statistical mechanics: a pedagogical example
- Carnot process with a single particle
- Two-time-scale relaxation towards thermal equilibrium of the enigmatic piston
- Macroscopic equations for the adiabatic piston