Table 1 Work and heat fluctuations for each type of process
From: Universal relations and bounds for fluctuations in quasistatic small heat engines
Process | \(\left\langle \Delta {W}_{i\to i+1}^{2}\right\rangle\) | \(\langle \Delta {Q}_{i\to i+1}^{2}\rangle\) |
|---|---|---|
(1) Isothermal | 0 | \(\left\langle \Delta {E}_{i}^{2}\right\rangle +\left\langle \Delta {E}_{i+1}^{2}\right\rangle\) |
(2) Adiabatic | \({\left[1-({T}_{i+1}/{T}_{i})\right]}^{2}\left\langle \Delta {E}_{i}^{2}\right\rangle ={\left[({T}_{i}/{T}_{i+1})-1\right]}^{2}\left\langle \Delta {E}_{i+1}^{2}\right\rangle\) | 0 |
(3) Isochoric | 0 | \(\left\langle \Delta {E}_{i}^{2}\right\rangle +\left\langle \Delta {E}_{i+1}^{2}\right\rangle\) |
(4) Isobaric | 0 | \(\left\langle \Delta {E}_{i}^{2}\right\rangle +\left\langle \Delta {E}_{i+1}^{2}\right\rangle\) |
