论文标题
一维盒子中非相互作用费米的多级量子柴油发动机
Multi-level quantum Diesel engine of non-interacting fermions in a one-dimensional box
论文作者
论文摘要
我们考虑量子柴油周期的玩具模型，而没有由非相互作用的fermions构成的温度，这些温度被困在一维盒中。从周期中提取的工作和能量是通过改变哈密顿的预期值。我们通过分析计算了根据压缩比的最大工作效率和效率的效率。我们发现发动机的效率取决于压缩比和截止比率。相比之下，最大工作的效率只能作为压缩比的函数编写。此外，我们计算了循环的克劳西乌斯关系。周期的不可逆性程度仅取决于截止比率。我们还研究了循环的功率与效率之间的关系。 还研究了功率输出作为压缩比的函数。已经发现，对于截止比的给定值，无量纲功率输出随着压缩比的增加而降低。
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.
