arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.04332cond-mat.mes-hall
收藏

量子形状效应

Quantum Shape Effects

Alhun Aydin

摘要:

我们能否在不改变其大小的情况下改变域的形状?通过引入一个尺寸不变的形状变换,我们提出了一种新的量子尺度上的物理效应的存在性,并探讨了这种效应的后果,我们称之为“量子形状效应”。通过完全分离的形状效应的尺寸效应,我们表明,形状单独成为一个控制参数的热力学态函数的限制系统在纳米尺度。我们发展了一种重叠量子边界层方法来解析预测量子形状效应,将热力学问题转化为几何问题,揭示了量子尺度下几何与热力学之间的深刻联系.此外,我们介绍的isoform,形状保持,过程开辟了新一代的热力学循环在纳米尺度上运行的独特功能的可能性。总之,本论文是对量子形状效应在热力学中的理论、方法论的构建和应用的探索的一个命题和全面的研究。

英文摘要:

Can we change the shape of a domain without altering its sizes? By introducing a size-invariant shape transformation, we propose the existence and explore the consequences of a new type of physical effect appearing at the quantum scales, which we call here as "quantum shape effect". By completely separating the shape effects from size effects, we show that shape alone becomes a control parameter on the thermodynamic state functions of confined systems at nanoscale. We develop an overlapped quantum boundary layer method to analytically predict the quantum shape effects, reducing a thermodynamic problem into a geometric one and revealing the profound link between the geometry and thermodynamics at the quantum scales. Furthermore, we introduce the isoformal, shape preserving, process which opens up the possibility of a new generation of thermodynamic cycles operating at nanoscale with unique features. As a whole, this thesis constitutes the proposition and a comprehensive investigation of the theory, construction of the methodology and exploration of the applications of quantum shape effects in thermodynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑