一维盒子中非相互作用费米子的量子布雷顿引擎
Quantum Brayton Engine of Non-Interacting Fermions in a One-Dimensional Box
摘要：
我们考虑量子布雷顿循环，从非相互作用的费米子，被困在一个一维的盒子。这个循环中的功和热是从哈密顿量的期望值计算出来的。我们分析计算了循环的效率，效率在最大工作和克劳修斯关系的长度比的函数。我们发现，循环的效率不依赖于费米子的数量。它取决于周期长度的比率。而功率取决于费米子的数量。循环的不可逆性也不依赖于粒子的数量。它只取决于盒子长度的比例。此外，还分析了势壁运动速度有限时循环的效率和功率。我们发现，当我们减少的长度比，在最大功率和最大功率的循环的效率增加。
英文摘要：
We consider the quantum Brayton cycle, constructed from non-interacting fermions, trapped in a one-dimensional box. The work and heat in this cycle are calculated from the expectation values of the Hamiltonian. We analytically calculated the efficiency of the cycle, efficiency at maximum work and Clausius relation as the function of the ratio of the lengths. We found that the efficiency of the cycle does not depend on the number of fermions. It depends on the ratios of the lengths of the cycle. While the power depends on the number of fermions. The irreversibility of the cycle also does not depend on the number of particles. It only depends on the ratio of the box lengths. Moreover, We also analysed the efficiency and the power of the cycle for the finite speed of the movement of the potential wall. We found that as we decrease the ratio of the lengths, the efficiency at maximum power and the maximum power of the cycle increases.
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