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Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators

Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature ${T}_{h}$ and ${T}_{c}$ ($<{T}_{h}$) is optimized. It is found that the coefficient of performance at maximum figure of merit is bounded between 0 and $(\sqrt{9+8{\ensuremath{\varepsilon}}_{c}}\ensuremath{-}3)/2$ for the low-dissipation refrigerators, where ${\ensuremath{\varepsilon}}_{c}={T}_{c}/({T}_{h}\ensuremath{-}{T}_{c})$ is the Carnot coefficient …