不可逆量子自旋布雷顿制冷机最优性能

本文建立了以无相互作用1/2自旋系统为工质的不可逆量子布雷顿制冷循环模型,循环由两个等磁场过程和两个不可逆绝热过程组成。模型考虑了热阻、内摩擦、旁通热漏三种不可逆损失。应用有限时间热力学理论、量子主方程和量子半群方法,本文导出了该制冷机的循环周期、制冷率和制冷系数。应用数值计算和图例,给出了量子布雷顿制冷机的制冷率和制冷系数最优性能,并分析了量子摩擦和旁通热漏对其最优性能的影响。     

量子斯特林制冷循环性能研究

建立了以无数个无限深势阱中的粒子为工质的不可逆量子斯特林制冷循环模型。势阱中粒子在能级上的分布由吉布斯分布函数决定。该制冷循环由两个等能量过程与两个等势阱壁宽度过程组成,具有高低温热源间的热漏和不完全回热因素。导出了性能系数、致冷率、熵产率和生态学目标函数性能解析式,制冷率与生态学函数的关系曲线是回原点的扭叶型。分析了热漏系数与不完全回热因子对性能系数、制冷率和生态学函数的影响。     

不可逆费米奥托制冷循环性能分析

基于回热式不可逆奥托制冷循环和理想费米气体的状态方程,导出以费米气体为工质的奥托制冷循环的输入功、制冷量、制冷系数等重要性能参数的表达式,以此讨论费米气体的量子简并性、回热及内不可逆性对循环性能的影响,给出以理想费米气体为工质的回热式不可逆奥托制冷循环的性能特征。所得结果有助于进一步了解经典气体奥托制冷循环与量子气体奥托制冷循环的区别和联系。     

玻色气体的量子简并性对不可逆布雷顿制冷循环性能的影响

基于不可逆布雷顿制冷循环模型和理想玻色气体的状态方程,导出以玻色气体为工质的布雷顿制冷循环的输入功、制冷系数、制冷量等重要参数的表示式,由此讨论玻色气体的量子简并性和不可逆绝热过程对循环性能的影响,揭示以玻色气体为工质的不可逆布雷顿制冷循环的一般性能特性,从而导出一些重要结论．进而给出几种特殊情况下循环的性能特性．得到的结果有助于进一步了解经典布雷顿制冷循环和量子布雷顿制冷循环之间的区别和联系．     

以一维谐振子势阱中的单粒子为工质的量子热机性能分析

建立了以一维谐振子势阱中的单粒子为工质的量子热机模型.当势阱壁宽度和粒子的量子态缓慢改变时, 该热机类似于经典卡诺热机对外做功.假设势阱壁移动速度非常缓慢并且考虑热漏, 推导出量子热机循环的输出功率和效率等重要性能参数的一般表达式.通过优化分析, 获得了热机循环中各主要性能参数的最佳优化值和优化区间.     

磁场方向调制的InAs量子点分子量子比特

在有效质量近似条件下研究了由两个垂直耦合自组织InAs量子点组成的双电子量子点分子的电子结构，在此基础上利用系统的总自旋提出了一种磁场方向调制的量子比特方案.电子的相关效应可以导致系统的总自旋在0和1之间转换，值得注意的是，通过调节外部磁场的方向来实现这种转换，而不是像以往那样通过改变外部磁场的大小.结果支持利用系统的总自旋作为磁场方向调制的量子比特的可能性，而且因为高质量的垂直耦合量子点分子的制作工艺已经成熟，所以这是一个非常现实的量子比特设计方案. 关键词： 量子点分子 磁场方向调制 量子比特     

谐振子量子制冷循环

本文基于量子主方程和半群方法,分析了以谐振子系统为工质的量子制冷循环中的回热特征及时间演化公式,推导出制冷系数、制冷率和输入功率的一般表达式,在高温极限下详细推导出它们的具体优化特征.这里所获得的结论可以与经典制冷循环的结论进行比较,发现有许多类似之处.     

以理想费米气体为工质的量子制冷循环

本文基于理想费米气体的状态方程，分析了以理想费米气体为工质的量子Ericsson制冷循环中的回热特征，推导出其制冷循环的制冷系数表达式。并在高温和低温条件下对制冷系数进行了讨论。这将对低温制冷机的研究提供理论依据。     

量子简并性对气体斯特林制冷循环性能的影响

基于理想量子气体的状态方程，分析了量子气体斯特林制冷循环中的回热特征，推导出循环的制冷系数一般表达式.获得了在强简并和弱简并条件下循环的制冷系数，对全面理解气体斯特林制冷机的性能有所帮助. 关键词： 量子简并性 斯特林制冷循环     

压缩/喷射制冷循环中喷射器引射室的最优压降

建立了蒸气压缩/喷射制冷循环稳定运行时两相喷射器的热力学模型,以常压沸点相差较大的制冷剂为工质,比较了两相喷射器引射室压降最优范围的差异,并在同一工况下,研究了不同工质压缩/喷射制冷循环的性能。结果表明:喷射器引射室压降存在最佳范围使压缩/喷射制冷循环性能接近最优值;在相同工况下不同制冷工质这个最佳范围不相同;在同一工况下,当采用压缩/喷射制冷循环时,不同工质的循环性能系数和单位容积制冷能力相比基本循环均增强了。研究结果为压缩/喷射制冷循环制冷工质的选择及两相喷射器结构的优化设计提供理论参考。     

Performance of an irreversible quantum refrigeration cycle

A new model of a quantum refrigeration cycle composed of two adiabatic and two isomagnetic field processes is established. The working substance in the cycle consists of many non-interacting spin-1/2 systems. The performance of the cycle is investigated, based on the quantum master equation and semi-group approach. The general expressions of several important performance parameters, such as the coefficient of performance, cooling rate, and power input, are given. It is found that the coefficient of performance of this cycle is in the closest analogy to that of the classical Carnot cycle. Furthermore, at high temperatures the optimal relations of the cooling rate and the maximum cooling rate are analysed in detail. Some performance characteristic curves of the cycle are plotted, such as the cooling rate versus the maximum ratio between high and low ``temperatures' of the working substances, the maximum cooling rate versus the ratio between high and low ``magnetic fields' and the ``temperature' ratio between high and low reservoirs. The obtained results are further generalized and discussed, so that they may be directly applied to describing the performance of the quantum refrigerator using spin-$J$ systems as the working substance. Finally, the optimum characteristics of the quantum Carnot and Ericsson refrigeration cycles are derived by analogy.     

Parametric optimum analysis of an irreversible Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas

An irreversible model of an Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas is established, which is composed of two isothermal and two isobaric processes. The influence of both the quantum degeneracy and the finite-rate heat transfer between the working fluid and the heat reservoirs on the performance of the cycle is investigated, based on the theory of statistical mechanics and thermodynamic properties of an ideal Fermi gas. The inherent regeneration losses of the cycle are analyzed. Expressions for several important performance parameters such as the coefficient of performance, cooling rate and power input are derived. By using numerical solutions, the cooling rate of the cycle is optimized for a given power input. The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal regions of the coefficient of performance and power input are determined. Especially, the optimal performance of the cycle in the strong and weak gas degeneracy cases and the high temperature limit is discussed in detail. The analytic expressions of some optimized parameters are derived. Some optimum criteria are given. The distinctions and connections between the Ericsson refrigeration cycles working with the Fermi and classical gases are revealed.      

The performance characteristics of an irreversible quantum Otto harmonic refrigeration cycle

In this paper, an irreversible quantum Otto refrigeration cycle working with harmonic systems is established. Base on Heisenberg quantum master equation, the equations of motion for the set of harmonic systems thermodynamic observables are derived. The simulated diagrams of the quantum Otto refrigeration cycle are plotted. The relationship between average power of friction, cooling rate, power input, and the time of adiabatic process is analyzed by using numerical calculation. Moreover, the influence of the heat conductance and the time of iso-frequency process on the performance of the cycle is discussed.     

二级不可逆磁Brayton制冷循环性能分析及参数优化

建立受有限速率热传导和绝热过程不可逆性影响的二级磁Brayton制冷循环模型,导出循环的性能系数和制冷率表达式,分析等磁场过程的磁场比、绝热不可逆因子、等磁中冷过程等对二级不可逆磁Brayton制冷循环最大制冷率及相关参数的影响,所得结论能为提高磁制冷机的循环性能提供参数设计参考.     

Ecological optimization for an irreversible magnetic Ericsson refrigeration cycle

An irreversible Ericsson refrigeration cycle model is established, in which multi-irreversibilities such as finite-rate heat transfer, regenerative loss, heat leakage, and the efficiency of the regenerator are taken into account. Expressions for several important performance parameters, such as the cooling rate, coefficient of performance （COP）, power input, exergy output rate, entropy generation rate, and ecological function are derived. The influences of the heat leakage and the time of the regenerative processes on the ecological performance of the refrigerator are analyzed. The optimal regions of the ecological function, cooling rate, and COP are determined and evaluated. Furthermore, some important parameter relations of the refrigerator are revealed and discussed in detail. The results obtained here have general significance and will be helpful in gaining a deep understanding of the magnetic Ericsson refrigeration cycle.     

铁磁质斯特林制冷循环的优化分析

铁磁质斯特林制冷循环的优化分析林国星，严子浚（厦门大学物理系厦门３６１００５）关键词：铁磁质，制冷循环，优化分析一、引言磁制冷机在制冷效率和可靠性方面都优于传统的气体制冷机，且可减少环境污染，得到了世界各国普遍重视。而磁斯特林制冷循环是磁制冷机研制中...     

耦合高压斯特林制冷效应的复合磁制冷循环的数值模拟

本文借助计算流体力学软件, 对复合磁制冷机进行整机数值模拟分析. 以复合磁制冷机为建模原形, 分别计算了主动式磁制冷循环以及复合磁制冷循环. 利用模型计算分析了利用系数, 工作频率对主动式磁制冷的制冷效果影响, 同时模拟计算了不同相位角、不同频率下的复合磁制冷机的制冷效果, 计算得到适合复合磁制冷循环的最佳匹配相位角. 模拟计算结果对后续实验台的设计搭建有很好的指导作用.