一维盒子中非相互作用费米子的多能级量子柴油机
Multi-level quantum Diesel engine of non-interacting fermions in a one-dimensional box
摘要：
本文考虑了由非相互作用的费米子构成的无温度量子狄塞尔循环玩具模型，费米子被囚禁在一维盒子中。通过改变哈密顿量的期望值，从循环中提取功和能。我们分析计算的效率的循环和效率在最大的工作作为一个函数的压缩比。我们发现，发动机的效率取决于压缩比和截止比。相反，在最大功时的效率可以仅写为压缩比的函数。此外，我们还计算了循环的克劳修斯关系。循环的不可逆程度只取决于截止比。我们还研究了功率和循环效率之间的关系。还研究了输出功率与压缩比的关系。研究发现，对于给定的截止比，无量纲功率输出随着压缩比的增加而减小。
英文摘要：
We consider the toy model of quantum Diesel cycle without temperature constructed from non-interacting fermions, which are trapped in a one-dimensional box. The work and energy are extracted from the cycle are by changing the expectation value of Hamiltonian. We analytically calculated the efficiency of the cycle and efficiency at maximum work as a function of compression ratio. We found that the efficiency of the engine depends on both compression ratio and cut-off ratio. In contrast, the efficiency at the maximum work can be written as a function of the compression ratio only. Moreover, we calculate the Clausius relation of the cycle. The degree of the irreversibility of the cycle depends only on the cut-off ratio. We also study the relation between power and efficiency of the cycle. The power output is also studied as the function of the compression ratio. It is found that for a given value of the cutoff ratio, the dimensionless power output decreases as the compression ratio increases.
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