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DFT computational modeling studies of electronic and magnetic features of transition metal doped ZnTe 过渡金属掺杂ZnTe的电子和磁性特征的DFT计算建模研究
Q2 Physics and Astronomy Pub Date : 2025-06-02 DOI: 10.1016/j.physo.2025.100275
M. Amzaoued , S. Zriouel , M. Mabrouki
This paper presents a first-principles investigation of the electronic structure and magnetism of dilute magnetic semiconductors (DMSs), with a particular focus on transition-metal-doped ZnTe systems relevant to spintronic applications. Using density functional theory within the local-density approximation, we explore how magnetic impurities influence the electronic states and magnetic interactions in Zn1xTMxTe where TM=3d transition metal atoms namely V, Cr, Mn, and Co and x is the fractional concentration of TM. The total and partial density of states, as well as the calculated Curie temperatures (TC), are carefully analyzed and discussed. Our results demonstrate that the electronic configuration of the dopant atoms plays a crucial role in stabilizing ferromagnetic ordering, revealing distinct trends across different transition-metal elements (TM). The emergence of half-metallic ferromagnetism in Zn1xTMxTe is interpreted in terms of the TM3d electronic states. Using a mean-field theoretical approach, we estimate the Curie temperatures for various DMS systems, obtaining values that align well with available experimental data. These findings provide valuable insights into the underlying mechanisms of magnetism in DMSs and support the development of a comprehensive model for understanding chemical trends, ultimately guiding the design of highTC materials for future spintronic technologies.
本文介绍了稀磁半导体(dms)的电子结构和磁性的第一性原理研究,特别关注与自旋电子应用相关的过渡金属掺杂ZnTe系统。利用局域密度近似下的密度泛函理论,我们探讨了磁性杂质如何影响Zn1−xTMxTe中的电子态和磁相互作用,其中TM=三维过渡金属原子,即V, Cr, Mn和Co, x为TM的分数浓度。对态的总密度和偏密度以及计算出的居里温度(TC)进行了仔细的分析和讨论。我们的研究结果表明,掺杂原子的电子构型在稳定铁磁有序中起着至关重要的作用,揭示了不同过渡金属元素(TM)之间的不同趋势。用TM - 3d电子态解释了Zn1 - xTMxTe中半金属铁磁性的出现。使用平均场理论方法,我们估计了各种DMS系统的居里温度,得到的值与现有的实验数据很好地吻合。这些发现为dms中磁性的潜在机制提供了有价值的见解,并支持开发理解化学趋势的综合模型,最终指导设计用于未来自旋电子技术的高- TC材料。
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引用次数: 0
A numerical model and comparative investigation of a thermoelectric generator with novel profile designs 一种新型型面设计热电发电机的数值模型及对比研究
Q2 Physics and Astronomy Pub Date : 2025-05-28 DOI: 10.1016/j.physo.2025.100283
Tan Nguyen Tien , Duc Tran Duy , Vinh Nguyen Duy , Dien Vu Minh , Hoa Binh Pham , Quang Khong Vu
Thermoelectric generators (TEGs), known as devices, convert waste heat to potential electricity. TEGs feature simple assembly, quiet work, non-exhaust, and stability based on thermodynamics together with Seebeck, Peltier, and Thomson effects. However, the performance of TEG is not high because the thermoelectric conversion inside TEG faces low efficiency. Typically, the cooling exchanger mounted in TEG partly affects the thermoelectric conversion. This paper offers three alternatives to the cooling exchanger based on a commercial model with different channel profiles. All are simulated and evaluated as thermodynamic and mass factors for TEG performance, such as temperature, pressure, and occupied solid volume. Then, two optimal alternatives based on three prior alternatives are analyzed, as well as properties and non-symmetric effects on TEG performance. Therefore, the results show that the different temperatures between the central fluid of the cooling exchanger and the top plate plane of TEG in optimized alternatives are larger than in the commercial model (i.e., 185 K and 183 K for optimal alternatives and 167 K for the commercial model with 5 L/min of mass flow rate inlet).
热电发电机(teg),被称为装置,将废热转化为势能。teg具有组装简单,工作安静,无排气和基于热力学以及塞贝克,珀尔蒂埃和汤姆森效应的稳定性。然而,由于TEG内部热电转换效率低,其性能不高。通常,安装在TEG中的冷却交换器会部分影响热电转换。本文基于一种具有不同通道型的商业模型,提出了三种冷却交换器的替代方案。所有这些都被模拟和评估为影响TEG性能的热力学和质量因素,如温度、压力和占据的固体体积。在此基础上,分析了基于三种优先方案的两种最优方案,以及性能和非对称对TEG性能的影响。因此,结果表明,优化方案中冷却器中心流体与TEG顶板平面之间的温度差大于商业模型(即最优方案为185 K和183 K,进口质量流量为5 L/min的商业模型为167 K)。
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引用次数: 0
Revisiting a Reynolds experiment: head loss in non-fully developed, unsteady flow 重新考察雷诺实验:非完全发展的非定常流中的水头损失
Q2 Physics and Astronomy Pub Date : 2025-05-23 DOI: 10.1016/j.physo.2025.100274
H.S. Tang, Priata Saha
Head loss plays a central role in fluid flows. The head loss in fully developed, steady flows is relatively clear, and its calculation has matured and been applied widely in practical problems with success. However, there is a lack of understanding and effective methods to estimate head loss in non-fully developed, unsteady flows. This paper revisits a Reynolds experiment, which, unlike the original experiment by Reynolds in 1883, adopts unsteady flows (with non-constant water heads) exhibiting negative inertia heads. It discusses their head loss in a tube section where the flows have not fully developed. It shows that the head loss is higher in unsteady flows than in steady flows, with the difference being about two orders of magnitude greater than the inertia head. Also, it illustrates that the Darcy-Weisbach equation cannot replicate the measurement data for the head loss in both steady and unsteady, non-fully developed flows. Moreover, the paper presents an expression for head loss in such unsteady flows in terms of steady-flow head loss and inertia head.
水头损失在流体流动中起着核心作用。充分发展的稳定流的水头损失是比较清晰的,其计算已经成熟,并在实际问题中得到了成功的应用。然而,在非完全发展的非定常流动中,对水头损失的估计缺乏认识和有效的方法。本文回顾了一个雷诺实验,与1883年雷诺的原始实验不同,该实验采用了具有负惯性头的非定常流(非恒定水头)。讨论了它们在流动未完全发展的管段中的水头损失。结果表明,非定常流场的水头损失比定常流场的水头损失大,其差异比惯性水头大两个数量级。此外,它还说明了Darcy-Weisbach方程不能复制稳定和非稳定、非完全发展流动中水头损失的测量数据。此外,本文还提出了这种非定常流场中水头损失的表达式,包括定常水头损失和惯性水头损失。
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引用次数: 0
3D modelling of hydrogen embrittlement in austenitic stainless steel and nickel-based superalloy: Physical metallurgy aspects on hydrogen entrapment 奥氏体不锈钢和镍基高温合金氢脆的三维建模:氢夹带的物理冶金方面
Q2 Physics and Astronomy Pub Date : 2025-05-22 DOI: 10.1016/j.physo.2025.100253
Behzad Sadeghi , Pasquale Cavaliere , Alicja Stanislawska
This study explores the intricate relationship between hydrogen and the microstructural elements of austenitic stainless steels and nickel-based superalloys, with particular focus on their propensity for hydrogen embrittlement (HE). Utilizing sophisticated simulation tools within the ANSYS framework, we have developed an in-depth 3D model that intricately portrays the subtle hydrogen diffusion dynamics as they interact with microstructural features, including grain boundaries, dislocations, precipitates, and the lattice framework. This model illuminates the pivotal roles these microstructural interfaces play in the transportation and trapping of hydrogen and their contribution to the vulnerability of these alloys to HE. Our findings reveal that dislocations serve as a critical factor in dictating hydrogen diffusion behavior, which offer alternative pathways significantly influencing hydrogen distribution throughout the microstructure. The behavior of these dislocations is found to be highly temperature-sensitive, exhibiting distinct properties under varying thermal conditions and over extended durations. The simulation results are consistent with established models of hydrogen behavior in metallic systems and confirm that both microstructural nuances and temperature have a significant influence on hydrogen diffusion, which is in line with theoretical expectations. The insights gleaned from this research will assist in the engineering of materials that are more resilient to the deleterious effects of hydrogen penetration, thereby enhancing the safety and dependability of components operating in hydrogen-intensive environments.
本研究探讨了氢与奥氏体不锈钢和镍基高温合金微观组织元素之间的复杂关系,特别关注了它们的氢脆倾向。利用ANSYS框架内的复杂模拟工具,我们开发了一个深入的3D模型,该模型复杂地描绘了细微的氢扩散动力学,因为它们与微观结构特征相互作用,包括晶界,位错,沉淀和晶格框架。该模型阐明了这些微观结构界面在氢的运输和捕获中所起的关键作用,以及它们对这些合金对HE的脆弱性的贡献。我们的研究结果表明,位错是决定氢扩散行为的关键因素,它提供了显著影响氢在微观结构中的分布的替代途径。这些位错的行为被发现是高度温度敏感的,在不同的热条件和延长的持续时间下表现出不同的性质。模拟结果与已建立的氢在金属体系中的行为模型一致,并证实微观结构的细微差别和温度对氢的扩散都有显著影响,这与理论预期相符。从这项研究中收集到的见解将有助于材料的工程设计,使其更能抵御氢渗透的有害影响,从而提高在氢密集型环境中运行的部件的安全性和可靠性。
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引用次数: 0
Effects of applied mechanical stress on the properties of the boundary between circular domains in a cylindrical magnetic wire 外加机械应力对圆柱形磁丝圆畴边界性能的影响
Q2 Physics and Astronomy Pub Date : 2025-05-16 DOI: 10.1016/j.physo.2025.100279
Ján Ziman, Jozef Onufer, Peter Duranka, Mária Kladivová, Peter Vrábel
The paper presents the study of the motion of an individual domain wall in a cylindrical amorphous wire with negative magnetostriction and helical anisotropy induced by the simultaneous application of torsional and tensile mechanical stresses. The non-zero axial component of the magnetization made it possible to monitor the motion of the domain wall by means of suitably wound pick-up coils. Experimental results showed that the wall mobility increases significantly with the application of torsional stress. For a model of a planar domain wall, the calculated eddy currents damping of the wall motion is too strong to explain this increase. Presence of a non-zero axial component of the magnetization can cause the transformation of a planar wall to a deformed wall, axial length of which increases with the applied torsion. It can be expected that the damping of the propagating deformed wall is lower and thus its mobility increases.
本文研究了具有负磁致伸缩和螺旋各向异性的圆柱形非晶态金属丝在扭转和拉伸机械应力同时作用下单个畴壁的运动。磁化的非零轴向分量使得通过适当缠绕的拾取线圈来监测畴壁的运动成为可能。实验结果表明,在扭转应力的作用下,壁面的流动性显著增加。对于平面畴壁面模型,计算出的壁面运动涡流阻尼太大,无法解释这种增加。存在非零的轴向磁化分量可以使平面壁转变为变形壁,其轴向长度随着施加的扭转而增加。可以预期,变形墙体的传播阻尼降低,因而其迁移率增加。
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引用次数: 0
Thermo-magnetic characterization of Mn55Al45C2 for high temperature devices 高温器件用Mn55Al45C2的热磁特性
Q2 Physics and Astronomy Pub Date : 2025-05-16 DOI: 10.1016/j.physo.2025.100282
Mahmoud A. Hamad , Tahani R. Aldhafeeri , Hatem R. Alamri , Mohamed E. Harb
The magnetocaloric effectin Mn55Al45C2 alloys synthesized via induction heating is investigated, ranging from 450 to 650 K. The experimental and modelled thermo-magnetization for Mn55Al45C2 alloys at 0.1 T agree well, highlighting that PM is a reliable method for simulating thermo-magnetization for Mn55Al45C2 alloys. The maximum values magnetic entropy changes for Mn55Al45C2 alloys are 55 mJ/kg.K and 47 mJ/kg.K, respectively, with full-width at half-maximum of 70 and 65 K. The relative cooling power and refrigerant capacity values reaches 3.88 J/kg and 2.8 J/kg, respectively. It is proposed that Mn55Al45C2 be used as attracting magnets in magnetic refrigeration to address the issue of rising battery and motor temperatures, hence improving the electric and hybrid vehicles' performance.
研究了在450 ~ 650 K范围内感应加热合成的Mn55Al45C2合金的磁热效应。0.1 T下Mn55Al45C2合金的热磁化实验结果与模拟结果吻合较好,表明PM是一种可靠的模拟Mn55Al45C2合金热磁化的方法。Mn55Al45C2合金的磁熵变化最大值为55 mJ/kg。K和47mj /kg。全宽分别为70k和65k。相对制冷功率3.88 J/kg,制冷剂容量2.8 J/kg。提出将Mn55Al45C2用作磁制冷中的吸引磁体,解决电池和电机温度升高的问题,从而提高电动和混合动力汽车的性能。
{"title":"Thermo-magnetic characterization of Mn55Al45C2 for high temperature devices","authors":"Mahmoud A. Hamad ,&nbsp;Tahani R. Aldhafeeri ,&nbsp;Hatem R. Alamri ,&nbsp;Mohamed E. Harb","doi":"10.1016/j.physo.2025.100282","DOIUrl":"10.1016/j.physo.2025.100282","url":null,"abstract":"<div><div>The magnetocaloric effectin Mn<sub>55</sub>Al<sub>45</sub>C<sub>2</sub> alloys synthesized via induction heating is investigated, ranging from 450 to 650 K. The experimental and modelled thermo-magnetization for Mn<sub>55</sub>Al<sub>45</sub>C<sub>2</sub> alloys at 0.1 T agree well, highlighting that PM is a reliable method for simulating thermo-magnetization for Mn<sub>55</sub>Al<sub>45</sub>C<sub>2</sub> alloys. The maximum values magnetic entropy changes for Mn<sub>55</sub>Al<sub>45</sub>C<sub>2</sub> alloys are 55 mJ/kg.K and 47 mJ/kg.K, respectively, with full-width at half-maximum of 70 and 65 K. The relative cooling power and refrigerant capacity values reaches 3.88 J/kg and 2.8 J/kg, respectively. It is proposed that Mn<sub>55</sub>Al<sub>45</sub>C<sub>2</sub> be used as attracting magnets in magnetic refrigeration to address the issue of rising battery and motor temperatures, hence improving the electric and hybrid vehicles' performance.</div></div>","PeriodicalId":36067,"journal":{"name":"Physics Open","volume":"24 ","pages":"Article 100282"},"PeriodicalIF":0.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Anisotropic and tunable properties of hydrogen/halogen-terminated germanene nanoribbons for advanced optoelectronics 用于先进光电子学的端氢/卤素锗纳米带的各向异性和可调特性
Q2 Physics and Astronomy Pub Date : 2025-05-14 DOI: 10.1016/j.physo.2025.100280
K. Gherbi , M.T. Kadri , H. Belkhir , K. Zanat
This study explores the structural, electronic, and optical characteristics of X-terminated germanene nanoribbons (GeNRs) featuring armchair (7-AGeNR) and zigzag (5-ZGeNR) arrangements through first-principles calculations. The findings illustrate how halogen edge functionalization (H, F, Cl, Br, I) significantly modifies the geometric, electronic, and optical traits of GeNRs. Specifically, the Ge-Ge bond length (2.44 Å) and the buckling height (0.69 Å) of the 7-AGeNRs are affected by the size of the X-terminated atoms, with larger halogens leading to increased bond lengths and changes in electronic properties. The analysis of the electronic band structure indicates that halogen passivation introduces a bandgap in the nanoribbons, with 7-AGeNRs-F displaying the largest bandgap of 0.60 eV, as opposed to 0.37 eV for 7-AGeNRs-I. We provide new insights into the tunable anisotropy of the dielectric constant and distinct optical transitions induced by halogen edge functionalization. The optical properties exhibit notable anisotropy, with 7-AGeNR-H showing a dielectric constant of ε1xx(0)=12.984 and ε1yy(0)=4.127, while I-termination leads to reduced values of 7.762 and 5.031, respectively. Furthermore, a redshift in absorption is observed for 7-AGeNRs with heavier halogens, while 5-ZGeNRs demonstrate a blueshift. Reflectivity and plasma frequency analyses point to an optical anisotropy, where H-terminated 7-AGeNR shows a high reflectivity of Rxx(0)=0.320, which diminishes with heavier halogens. These adjustable properties indicate the potential application of GeNRs in optoelectronic devices, including infrared (IR) detectors, ultraviolet (UV) sensors, and photovoltaic systems.
本研究通过第一性原理计算,探讨了具有扶手椅(7- genr)和之字形(5-ZGeNR)排列的x端锗烯纳米带(GeNRs)的结构、电子和光学特性。这些发现说明了卤素边缘功能化(H, F, Cl, Br, I)如何显著地改变了genr的几何、电子和光学特性。具体来说,7- agrs的Ge-Ge键长(2.44 Å)和屈曲高度(0.69 Å)受x端原子大小的影响,较大的卤素导致键长增加,电子性质发生变化。电子能带结构分析表明,卤素钝化在纳米带中引入了带隙,其中7-AGeNRs-F的带隙最大,为0.60 eV,而7-AGeNRs-I的带隙最大,为0.37 eV。我们对介电常数的可调各向异性和卤素边缘功能化引起的不同光学跃迁提供了新的见解。7-AGeNR-H的介电常数ε1xx(0)=12.984, ε1yy(0)=4.127,而i -末端的介电常数分别降低了7.762和5.031。此外,在含有较重卤素的7- zgenr中观察到吸收红移,而5- zgenr则表现出蓝移。反射率和等离子体频率分析指出了其光学各向异性,其中h端7-AGeNR显示出高反射率,Rxx(0)=0.320,随着卤素的增加,反射率降低。这些可调节的特性表明了genr在光电器件中的潜在应用,包括红外(IR)探测器、紫外(UV)传感器和光伏系统。
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引用次数: 0
Sensing response of aluminum-side-polished fiber-based surface plasmon resonance sensors to surface roughness 铝侧抛光纤维表面等离子体共振传感器对表面粗糙度的传感响应
Q2 Physics and Astronomy Pub Date : 2025-05-14 DOI: 10.1016/j.physo.2025.100281
Yuqi Han , Jieyuan Tang , Jianshang Liao , Li Tan
Aluminum is a widely used and cost-effective material for marine equipment because of its strong adhesion and simple coating processes. This study utilizes finite element numerical analysis to examine the sensing characteristics and sensitivity of aluminum-side-polished fiber (SPF) surface plasmon resonance (SPR) sensors with varying aluminum film thicknesses. Additionally, it investigates the response characteristics of these sensors to different surface roughness morphologies. The simulation results reveal that for SPF-based SPR sensors with a remaining thickness of 1 μm under a wavelength of 1550 nm, the coupling depth of the SPR resonance peak initially deepens and then shallow increases as the aluminum film thickness increases from 20 nm to 50 nm, achieving maximum coupling depth and sensitivity of 857 nm/RIU at 30 nm thickness. Models of aluminum-SPF-based SPR sensors were developed for ideally smooth, periodically rough, and randomly rough surface morphologies. The simulations reveal that as the surface morphology of the fiber transitions from smooth to periodically rough to randomly rough, the SPR resonance peak shifts from 961 nm to 954 nm and then to 885 nm, with the blue shift range increasing as the random roughness of the fiber surface intensifies. These simulations confirm the efficacy of aluminum-SPF-based SPR sensors in detecting variations in surface roughness morphology, establishing a theoretical foundation for the further application of these sensors in developing new sensing platforms for detecting corrosion in marine equipment materials in marine environments.
铝因其附着力强、涂装工艺简单,是一种应用广泛、性价比高的船用设备材料。本研究利用有限元数值分析研究了不同铝膜厚度的铝侧抛光纤维(SPF)表面等离子体共振(SPR)传感器的传感特性和灵敏度。此外,它还研究了这些传感器对不同表面粗糙度形态的响应特性。仿真结果表明,对于剩余厚度为1 μm的SPR传感器,在1550 nm波长下,随着铝膜厚度从20 nm增加到50 nm, SPR共振峰的耦合深度先加深后变浅,在30 nm厚度时达到最大耦合深度和灵敏度857 nm/RIU。针对理想光滑、周期性粗糙和随机粗糙的表面形貌,开发了基于铝- spf的SPR传感器模型。仿真结果表明,当光纤表面形貌从光滑到周期性粗糙再到随机粗糙时,SPR共振峰从961 nm移到954 nm,再移到885 nm,蓝移范围随着光纤表面随机粗糙度的增强而增大。这些模拟结果证实了基于SPR的铝- spf传感器在检测表面粗糙度形态变化方面的有效性,为这些传感器在开发海洋环境中海洋设备材料腐蚀检测新传感平台中的进一步应用奠定了理论基础。
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引用次数: 0
First-principles investigation of NaGeX3 (X = Cl, Br, I) perovskites for eco-friendly photovoltaic and optoelectronic applications NaGeX3 (X = Cl, Br, I)钙钛矿的第一性原理研究
Q2 Physics and Astronomy Pub Date : 2025-05-13 DOI: 10.1016/j.physo.2025.100278
Mohammad Nazmul Hasan , Md N.J. Rifat , Jahid Kabir Rony , Md Saiduzzaman , Minhajul Islam
Cubic-structured perovskite compounds used in solar cells, made without lead (Pb) or other harmful materials, are becoming increasingly important as photovoltaic systems gain commercial viability. This investigation models the structural, mechanical, electronic, bonding, and optical behavior of Pb-free inorganic metal-halide cubic perovskite compounds NaGeX3 (X = Cl, Br, I) for advanced microelectronics using first-principles density functional theory calculations. The lattice constants for NaGeCl3 (5.226 Å), NaGeBr3 (5.498 Å), and NaGeI3 (5.893 Å) show excellent agreement with previously published data. The studied compounds are semiconductors with optimized band gaps and are found to be structurally, thermodynamically, mechanically, and vibrationally stable. The sX functional was utilized to enhance the accuracy of the energy band gap calculations, resulting in significantly improved band gap values for NaGeCl3 (1.76 eV), NaGeBr3 (1.65 eV), and NaGeI3 (1.22 eV). The calculated ductility, Vickers hardness, and machinability index values exhibit the following trend: NaGeCl3 > NaGeBr3 > NaGeI3. The compounds are suited for use in photovoltaic devices such as solar cells and other optoelectronic sensor systems because they have excellent optical conductivity, a high absorption coefficient, and low reflectance. It can be considered whether germanium (Ge) could serve as a suitable substitute for Pb, given its optical properties, as Ge-containing compounds demonstrate enhanced optical absorption and optical conductivity. In accordance with a comparative assessment of the compounds' electronic, optical, and mechanical behavior, NaGeI3-based perovskite is the optimal comparative to Pb-free inorganic metal-halide perovskite semiconductor for the usage of solar cells. This investigation offers valuable insights for developing lead-free inorganic perovskites suitable for optoelectronic applications and serves as a theoretical foundation to support future experimental validation of the selected compounds for practical use.
用于太阳能电池的立方结构钙钛矿化合物,不含铅(Pb)或其他有害材料,随着光伏系统获得商业可行性,正变得越来越重要。本研究利用第一性原理密度泛函理论计算,模拟了无铅无机金属卤化物立方钙钛矿化合物NaGeX3 (X = Cl, Br, I)的结构、机械、电子、键合和光学行为。NaGeCl3 (5.226 Å)、NaGeBr3 (5.498 Å)和NaGeI3 (5.893 Å)的晶格常数与先前发表的数据非常吻合。所研究的化合物是具有优化带隙的半导体,并且在结构、热力学、机械和振动方面都是稳定的。利用sX函数提高了能带隙计算的精度,得到了NaGeCl3 (1.76 eV)、NaGeBr3 (1.65 eV)和NaGeI3 (1.22 eV)带隙值的显著提高。计算得到的延展性、维氏硬度和可加工性指数值呈现如下趋势:NaGeBr3祝辞NaGeI3。该化合物适合用于光伏器件,如太阳能电池和其他光电传感器系统,因为它们具有优异的光学导电性,高吸收系数和低反射率。考虑到锗(Ge)的光学性质,可以考虑锗是否可以作为铅的合适替代品,因为含锗化合物具有增强的光吸收和光导电性。根据化合物的电子,光学和机械行为的比较评估,nagei3基钙钛矿是太阳能电池使用的无铅无机金属卤化物钙钛矿半导体的最佳选择。该研究为开发适合光电应用的无铅无机钙钛矿提供了有价值的见解,并为支持所选化合物的实际应用的未来实验验证提供了理论基础。
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引用次数: 0
The mean first passage time as a natural diffusion distance 平均首次通过时间作为自然扩散距离
Q2 Physics and Astronomy Pub Date : 2025-05-06 DOI: 10.1016/j.physo.2025.100271
Maxim J. Goldberg , Seonja Kim
Given an irreducible finite Markov chain, we propose the mean first passage time (MFPT) as a diffusion distance. We motivate this definition by considering a compact Riemannian manifold, and the submanifold resulting from removing the closure of a small ball. The steady-state solution to an associated inhomogeneous heat flow problem on the submanifold is non-negative and can be viewed as having large values at locations which are “far” away from the removed ball. The same function is also shown, at any point, to “count”, via probability, the paths starting at that point which miss the ball. As a third viewpoint, the same function gives the expected value of the first hitting time of the removed ball. The latter interpretation leads to our proposing the MFPT as a diffusion distance for a given finite set of states (samples) and an associated transition matrix. Even if the transition matrix does not arise from heat flow, and may in fact be non-symmetric and non-bistochastic, we note that the MFPT satisfies the triangle inequality. Moreover, various efficient ways to compute the MFPT, and approximations to the MFPT, have been proposed in the literature.
Additionally, we establish a novel connection between certain mean first passage times and the sum of squares of Coifman-Lafon diffusion distances across all scales.
给定一个不可约有限马尔可夫链,我们提出平均首次通过时间作为扩散距离。我们通过考虑紧致黎曼流形和去掉小球闭合后的子流形来激发这个定义。子流形上相关的非均匀热流问题的稳态解是非负的,并且可以被视为在远离被移走的球的位置具有较大的值。同样的函数也显示,在任何点,通过概率“计数”,从该点开始的路径错过了球。作为第三个视点,同样的函数给出被移走的球的第一次击球时间的期望值。后一种解释导致我们提出MFPT作为给定有限状态集(样本)和相关转移矩阵的扩散距离。即使转移矩阵不是由热流产生的,并且实际上可能是非对称和非双随机的,我们注意到MFPT满足三角不等式。此外,文献中还提出了各种计算MFPT的有效方法以及MFPT的近似值。此外,我们建立了一定的平均首次通过时间和Coifman-Lafon扩散距离平方和之间的新联系。
{"title":"The mean first passage time as a natural diffusion distance","authors":"Maxim J. Goldberg ,&nbsp;Seonja Kim","doi":"10.1016/j.physo.2025.100271","DOIUrl":"10.1016/j.physo.2025.100271","url":null,"abstract":"<div><div>Given an irreducible finite Markov chain, we propose the mean first passage time (MFPT) as a diffusion distance. We motivate this definition by considering a compact Riemannian manifold, and the submanifold resulting from removing the closure of a small ball. The steady-state solution to an associated inhomogeneous heat flow problem on the submanifold is non-negative and can be viewed as having large values at locations which are “far” away from the removed ball. The same function is also shown, at any point, to “count”, via probability, the paths starting at that point which miss the ball. As a third viewpoint, the same function gives the expected value of the first hitting time of the removed ball. The latter interpretation leads to our proposing the MFPT as a diffusion distance for a given finite set of states (samples) and an associated transition matrix. Even if the transition matrix does not arise from heat flow, and may in fact be non-symmetric and non-bistochastic, we note that the MFPT satisfies the triangle inequality. Moreover, various efficient ways to compute the MFPT, and approximations to the MFPT, have been proposed in the literature.</div><div>Additionally, we establish a novel connection between certain mean first passage times and the sum of squares of Coifman-Lafon diffusion distances across all scales.</div></div>","PeriodicalId":36067,"journal":{"name":"Physics Open","volume":"24 ","pages":"Article 100271"},"PeriodicalIF":0.0,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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