Quantum point contacts as heat engines
arXiv:1506.01613 · doi:10.1016/j.physe.2015.08.003
Abstract
The efficiency of macroscopic heat engines is restricted by the second law of thermodynamics. They can reach at most the efficiency of a Carnot engine. In contrast, heat currents in mesoscopic heat engines show fluctuations. Thus, there is a small probability that a mesoscopic heat engine exceeds Carnot's maximum value during a short measurement time. We illustrate this effect using a quantum point contact as a heat engine. When a temperature difference is applied to a quantum point contact, the system may be utilized as a source of electrical power under steady state conditions. We first discuss the optimal working point of such a heat engine that maximizes the generated electrical power and subsequently calculate the statistics for deviations of the efficiency from its most likely value. We find that deviations surpassing the Carnot limit are possible, but unlikely.
9 pages, 2 figures. Contribution to the Physica E special issue on "Frontiers in quantum electronic transport" in memory of Markus Buttiker. Published version
References in corpus (11)
- Most efficient quantum thermoelectric at finite power output
- Optimal energy quanta to current conversion
- The unlikely Carnot efficiency
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Scattering theory of nonlinear thermoelectric transport
- Energy and power fluctuations in ac-driven coherent conductors
- Dynamic thermoelectric and heat transport in mesoscopic capacitors
- Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors
- Experimental verification of reciprocity relations in quantum thermoelectric transport
- Distribution of voltage fluctuations in a current-biased conductor
- Temperature Modulation of the Transmission Barrier in Quantum Point Contacts