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Building a network with assortative mixing starting from preference functions, with application to the spread of epidemics 从偏好函数出发构建同类混合网络,并应用于流行病的传播
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-05 DOI: 10.3389/fphy.2024.1435767
Razvan G. Romanescu
Compartmental models of disease spread have been well studied on networks built according to the Configuration Model, i.e., where the degree distribution of individual nodes is specified, but where connections are made randomly. Dynamics of spread on such “first order” networks were shown to be profoundly different compared to epidemics under the traditional mass action assumption. Assortativity, i.e., the preferential mixing of nodes according to degree, is a second order property that is thought to impact epidemic trajectory. We first show how assortative mixing can come about from individual preferences to connect with others of lower or higher degree, and propose an algorithm for constructing such a network. We then investigate via simulation how this network structure favors or inhibits diffusion processes, such as the spread of an infectious disease.
在根据配置模型(Configuration Model)构建的网络上,疾病传播的区隔模型得到了很好的研究,即单个节点的度分布是指定的,但连接是随机的。研究表明,在这种 "一阶 "网络上的传播动力学与传统的大规模行动假设下的流行病有很大不同。同类性,即节点根据程度优先混合,是一种二阶属性,被认为会影响流行病的轨迹。我们首先展示了同类混合是如何通过个人偏好与较低或较高程度的其他人建立联系而产生的,并提出了构建这种网络的算法。然后,我们通过模拟研究了这种网络结构如何促进或抑制扩散过程,如传染病的传播。
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引用次数: 0
On the ignition of H11B fusion fuel 关于 H11B 核聚变燃料的点火问题
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-05 DOI: 10.3389/fphy.2024.1405435
Esmat Ghorbanpour, Fabio Belloni
We have revisited recent results on the ideal ignition of H11B fuel, in the light of the latest available reactivity, an alternative self-consistent calculation of the electron temperature, an increased extent of the suprathermal effects and the impact of plasma density. At high density, we find that the ideal ignition temperature is appreciably relaxed (e.g., Ti150 keV for ni1026 cm3 and an optimal 11B/H concentration ε=0.15) and burn becomes substantial. We have then investigated central hot-spot ignition in both isobaric and isochoric inertial confinement configurations. Although implosion-driven ignition appears to be unfeasible, the isochoric self-heating conditions foster favourable preliminary conclusions on the utilization of proton fast ignition. In the isochoric case, we find a broad minimum in the ignition energy at ρR8.5 g/cm2 and 220Ti340 keV (80 Te95 keV), for ε=0.15.
我们根据最新的反应性、电子温度的另一种自洽计算方法、超热效应范围的扩大以及等离子体密度的影响,重新审视了最近关于H11B燃料理想点火的结果。在高密度条件下,我们发现理想的点火温度明显放宽(例如,当 ni∼1026 cm-3 和最佳 11B/H 浓度 ε=0.15 时,Ti≃150 keV),燃烧变得非常剧烈。我们随后研究了等压和等时惯性约束构型中的中心热点点火。虽然内爆驱动点火似乎不可行,但等时自热条件为质子快速点火的利用提供了有利的初步结论。在等时情况下,我们发现在ρR≃8.5 g/cm2和220≲Ti≲340 keV(80 ≲Te≲95 keV)处,ε=0.15时,点火能量有一个宽泛的最小值。
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引用次数: 0
Research on the identification method of cable insulation defects based on Markov transition fields and transformer networks 基于马尔可夫转换场和变压器网络的电缆绝缘缺陷识别方法研究
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-02 DOI: 10.3389/fphy.2024.1432783
Ning Zhao, Yongyi Fang, Siying Wang, Qian Li, Xiaonan Wang, Chi Feng
Identifying cable insulation defects is crucial for preventing system failures and ensuring the reliability of electrical infrastructure. This paper introduces a novel method leveraging the Markov transition field (MTF) and Transformer network to improve the precision of cable insulation defect identification and enhance the algorithm's noise resistance. Firstly, the algorithm performs modal transformation on the time series data acquired by the ultrasonic probe through MTF, generating corresponding images. Following this, the image data are input into a pre-trained Transformer network to achieve automated feature extraction. Subsequently, a multi-head attention mechanism is introduced, which assigns weights to the features extracted by the Transformer network, thereby emphasizing the most critical information for the identification task. Finally, more accurate defect identification is achieved based on the weighted features. The results demonstrate that this method achieves higher accuracy and stronger noise resistance compared to traditional image processing and recognition methods, making it a robust solution for cable insulation defect identification.
识别电缆绝缘缺陷对于防止系统故障和确保电力基础设施的可靠性至关重要。本文介绍了一种利用马尔可夫变换场(MTF)和变压器网络的新方法,以提高电缆绝缘缺陷识别的精度并增强算法的抗噪声能力。首先,该算法通过 MTF 对超声波探头获取的时间序列数据进行模态变换,生成相应的图像。然后,将图像数据输入预先训练好的 Transformer 网络,实现自动特征提取。随后,引入多头关注机制,为 Transformer 网络提取的特征分配权重,从而强调识别任务中最关键的信息。最后,根据加权特征实现了更准确的缺陷识别。研究结果表明,与传统的图像处理和识别方法相比,该方法具有更高的准确性和更强的抗噪能力,是电缆绝缘缺陷识别的可靠解决方案。
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引用次数: 0
A phantom for 2D dose measurements in the vicinity of metal implants for photon and proton beams 用于光子和质子束金属植入物附近二维剂量测量的模型
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-02 DOI: 10.3389/fphy.2024.1433208
Wolfgang Lechner, Barbara Knäusl, Jacob Brunner, Dietmar Georg, Peter Kuess
This work aimed to characterize a dedicated phantom for assessing the dose near metal implants for radiotherapy with photons and protons. A dosimetry audit phantom was redesigned to position a Gafchromic EBT-3 film within a bisected titanium pedicle screw (6.5 mm diameter). The mass density and the water equivalent thickness (WET) of the phantom material were determined. The phantom was irradiated using a photon arc and a horizontal proton beam in combination with a couch rotation of 20°, with three repeated measurements each. Treatment plans utilizing a single field covering the screw and the EBT-3 film were optimized to deliver a physical dose of 2 Gy using a collapsed cone and Monte Carlo dose engine for photons and protons, respectively. The mass density and the WET of the phantom were determined as (1.033 ± 0.010) gcm3 and (1.022 ± 0.013), respectively. Ionisation chamber measurements agreed within 1% (photons) and 0.5% (protons) with the calculated dose values. Relative photon dosimetry measurements using EBT-3 films revealed an agreement between measured and calculated horizontal profiles within the confidence interval for areas beyond 5 mm from the center. For photon plans, significant deviations of more than 10% were found at the interfaces between phantom material and screw. The proton measurements showed a gradual decrease of 3% across both profiles. In contrast to photon plans, no dose increase was measured within the screw, but significant dose fluctuations (>5%) in the beam’s exit region. This study showed that the behavior of dose engine is affected by metal implants and thus dosimetric measurements are highly recommended. The presented phantom can serve as foundation for dedicated end-2-end phantoms.
这项研究旨在确定一个专用模型的特性,以评估使用光子和质子进行放射治疗时金属植入物附近的剂量。我们重新设计了一个剂量测定审核模型,将 Gafchromic EBT-3 薄膜放置在直径为 6.5 毫米的钛椎弓根螺钉内。测定了模型材料的质量密度和水等效厚度(WET)。使用光子弧和水平质子束结合旋转 20° 的沙发对模型进行照射,每次重复测量三次。利用覆盖螺钉和 EBT-3 薄膜的单场对治疗方案进行了优化,分别使用光子和质子的塌缩锥和蒙特卡洛剂量引擎,使物理剂量达到 2 Gy。模型的质量密度和 WET 分别确定为 (1.033 ± 0.010) gcm-3 和 (1.022 ± 0.013)。电离室测量结果与计算剂量值的吻合度分别为 1%(光子)和 0.5%(质子)。使用 EBT-3 胶片进行的相对光子剂量测定显示,在距离中心 5 毫米以外的区域,测量值和计算值的水平剖面一致性在置信区间内。对于光子计划,在模型材料和螺钉之间的界面上发现了超过 10% 的明显偏差。质子测量结果显示,两个剖面上的偏差逐渐减小了 3%。与光子计划不同的是,在螺钉内测得的剂量没有增加,但在射束出口区域测得的剂量波动很大(5%)。这项研究表明,剂量引擎的行为会受到金属植入物的影响,因此强烈建议进行剂量测定。该模型可作为专用端-2-端模型的基础。
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引用次数: 0
How fear emotion impacts collective motion in threat environment 恐惧情绪如何影响威胁环境中的集体运动
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-02 DOI: 10.3389/fphy.2024.1394983
Yi-Xuan Lü, Si-Ping Zhang, Guan-Yu Meng, Bing-Hui Guo, Xiao-Long Liang, Zhi-Xi Wu, Zi-Gang Huang
Introduction: The emergence of collective behavior often depends on the adequate interaction of individuals through self-organization and the exchange of local information. When facing external threats, communication among individuals requires both rapid and effective information exchange to characterize sudden events. In this paper, we introduce the mechanism of emotions into the modeling of dynamics to study collective avoidance behavior in response to threats.Methods: A scenario involving a hidden dynamic threat is constructed to test the avoidance and survival capabilities of the collective when faced with a lack of effective information. By employing the activation and spread of emotion in modeling, the collective may self-organized and adeptly mitigate risks and enhance their own benefits.Results: Through adjustments to the intensity of emotional activation, spread, and decay, rich behaviors emerge. Relying on the regulation of emotion, the collective exhibits different response strategies and action patterns when facing threats, in which the optimal performance from the macroscopic level is expectable.Discussion: By analyzing these phenomena, it can enhance our understanding of the emotional states of collective in response to threats and the methods of controlling in intelligent collective motion.
引言集体行为的出现往往取决于个体之间通过自组织和局部信息交流进行充分互动。当面临外部威胁时,个体间的交流需要快速有效的信息交换,以描述突发事件的特征。在本文中,我们将情感机制引入动力学建模,研究应对威胁时的集体规避行为:方法:我们构建了一个涉及隐性动态威胁的场景,以测试集体在面临缺乏有效信息时的规避和生存能力。通过在建模中运用情绪的激活和扩散,集体可以自我组织并巧妙地降低风险,提高自身利益:结果:通过调整情绪激活、扩散和衰减的强度,可以产生丰富的行为。依靠对情绪的调节,集体在面临威胁时表现出不同的应对策略和行动模式,其中从宏观层面来看,最佳表现是可以预期的:通过分析这些现象,可以加深我们对集体应对威胁时的情绪状态以及智能集体运动控制方法的理解。
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引用次数: 0
Surface roughness measurement using microscopic vision and deep learning 利用显微视觉和深度学习测量表面粗糙度
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.3389/fphy.2024.1444266
Chuhan Shang, Zhang Lieping, Khaled A. Gepreel, Huaian Yi
Due to the self-affine property of the grinding surface, the sample images with different roughness captured by the micron-scale camera exhibit certain similarities. This similarity affects the prediction accuracy of the deep learning model. In this paper, we propose an illumination method that can mitigate the impact of self-affinity using the two-scale fractal theory as a foundation. This is followed by the establishment of a machine vision detection method that integrates a neural network and correlation function. Initially, a neural network is employed to categorize and forecast the microscopic image of the workpiece surface, thereby determining its roughness category. Subsequently, the corresponding correlation function is determined in accordance with the established roughness category. Finally, the surface roughness of the workpiece was calculated based on the correlation function. The experimental results demonstrate that images obtained using this lighting method exhibit significantly enhanced accuracy in neural network classification. In comparison to traditional lighting methods, the accuracy of this method on the micrometer scale has been found to have significantly increased from approximately 50% to over 95%. Concurrently, the mean squared error (MSE) of the surface roughness calculated by the proposed method does not exceed 0.003, and the mean relative error (MRE) does not exceed 5%. The two-scale fractal geometry offers a novel approach to image processing and machine learning, with significant potential for advancement.
由于磨削表面的自仿射特性,微米级相机捕捉到的不同粗糙度的样本图像表现出一定的相似性。这种相似性会影响深度学习模型的预测精度。本文以双尺度分形理论为基础,提出了一种可以减轻自相似性影响的照明方法。随后,我们建立了一种集成了神经网络和相关函数的机器视觉检测方法。首先,利用神经网络对工件表面的微观图像进行分类和预测,从而确定其粗糙度类别。随后,根据确定的粗糙度类别确定相应的相关函数。最后,根据相关函数计算出工件的表面粗糙度。实验结果表明,使用这种照明方法获得的图像在神经网络分类中的准确性显著提高。与传统的照明方法相比,这种方法在微米尺度上的准确率从大约 50% 显著提高到 95% 以上。同时,该方法计算出的表面粗糙度的平均平方误差 (MSE) 不超过 0.003,平均相对误差 (MRE) 不超过 5%。双尺度分形几何为图像处理和机器学习提供了一种新方法,具有巨大的发展潜力。
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引用次数: 0
Theory of Turing pattern formation and its experimental realization in the CIMA reaction system in the presence of materials lowering the diffusivity of activators 图灵模式形成的理论及其在 CIMA 反应体系中的实验实现,在存在降低活化剂扩散性的材料的情况下
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.3389/fphy.2024.1358766
Amiko Aizawa, Kouichi Asakura
In 1952, Alan Turing accomplished a pioneering theoretical study to show that the coupling of nonlinear chemical reactions and diffusion leads to the instability of spatially homogeneous states. The activator and inhibitor are synthesized as intermediates of the reaction system in the Turing model. Turing found that spatially periodic stationary concentration patterns are spontaneously generated when the diffusion coefficient of the activator is lower than that of the inhibitor. The first experimental realization of the Turing pattern was achieved in 1990 in a chlorite–iodide–malonic acid (CIMA) reaction system. Iodide and chlorite anions act as the activator and inhibitor of this reaction system, respectively. Although there is no significant difference in the diffusion coefficient of iodide and chlorite anions, the Turing pattern was generated because starch was added to the gel reactor to enhance the color tone. This formed a complex with iodide to inhibit its diffusion to satisfy the condition for the Turing instability. Several examples were found after this finding. We focused on the high affinity of quaternary alkyl ammonium cations to iodide. The CIMA reaction was performed in an open gel reactor by adding a quaternary alkyl ammonium cationic surfactant. In addition, the polymer gel consists of the quaternary alkyl ammonium group as the side chain was utilized for the open gel reactor. The micelles of the surfactants and the polymer gels trapped iodide in their vicinity as a counter anion to lower the effective diffusivity to satisfy the condition for the Turing instability.
1952 年,阿兰-图灵完成了一项开创性的理论研究,证明非线性化学反应和扩散的耦合会导致空间均质态的不稳定性。在图灵模型中,激活剂和抑制剂是作为反应系统的中间产物合成的。图灵发现,当激活剂的扩散系数低于抑制剂的扩散系数时,空间周期性静止浓度模式就会自发产生。图灵模式的首次实验实现于 1990 年的氯石-碘化物-丙二酸(CIMA)反应体系。碘离子和亚氯酸盐阴离子分别作为该反应体系的活化剂和抑制剂。虽然碘离子和亚氯酸根阴离子的扩散系数没有明显差异,但图灵模式的产生是因为在凝胶反应器中加入了淀粉以提高色调。这与碘化物形成了复合物,抑制了碘化物的扩散,从而满足了图灵不稳定性的条件。在这一发现之后,我们又发现了几个例子。我们重点研究了季烷基铵阳离子与碘化物的高亲和性。通过添加季烷基铵阳离子表面活性剂,CIMA 反应在开放式凝胶反应器中进行。此外,开放式凝胶反应器还使用了由季烷基铵基作为侧链的聚合物凝胶。表面活性剂和聚合物凝胶的胶束将碘化物作为反阴离子截留在其附近,从而降低了有效扩散率,满足了图灵不稳定性的条件。
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引用次数: 0
MOSkin dosimetry for an ultra-high dose-rate, very high-energy electron irradiation environment at PEER PEER 超高剂量率、超高能量电子辐照环境下的 MOSkin 剂量测量法
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.3389/fphy.2024.1401834
James Cayley, Yaw-Ren E. Tan, Marco Petasecca, Dean Cutajar, Thomas Breslin, Anatoly Rosenfeld, Michael Lerch
FLASH radiotherapy, which refers to the delivery of radiation at ultra-high dose-rates (UHDRs), has been demonstrated with various forms of radiation and is the subject of intense research and development recently, including the use of very high-energy electrons (VHEEs) to treat deep-seated tumors. Delivering FLASH radiotherapy in a clinical setting is expected to place high demands on real-time quality assurance and dosimetry systems. Furthermore, very high-energy electron research currently requires the transformation of existing non-medical accelerators into radiotherapy research environments. Accurate dosimetry is crucial for any such transformation. In this article, we assess the response of the MOSkin, developed by the Center for Medical Radiation Physics, which is designed for on-patient, real-time skin dose measurements during radiotherapy, and whether it exhibits dose-rate independence when exposed to 100 MeV electron beams at the Pulsed Energetic Electrons for Research (PEER) end-station. PEER utilizes the electron beam from a 100 MeV linear accelerator when it is not used as the injector for the ANSTO Australian Synchrotron. With the estimated pulse dose-rates ranging from (7.84±0.21)×105 Gy/s to (1.28±0.03)×107 Gy/s and an estimated peak bunch dose-rate of (2.55±0.06)×108 Gy/s, MOSkin measurements were verified against a scintillating screen to confirm that the MOSkin responds proportionally to the charge delivered and, therefore, exhibits dose-rate independence in this irradiation environment.
FLASH 放射治疗是指以超高剂量率(UHDRs)进行放射治疗,已在各种形式的放射治疗中得到证实,也是近期研究和开发的热点,包括使用超高能电子(VHEEs)治疗深部肿瘤。在临床环境中进行 FLASH 放射治疗预计会对实时质量保证和剂量测定系统提出很高的要求。此外,超高能电子研究目前需要将现有的非医用加速器改造成放射治疗研究环境。精确的剂量测定对于任何此类改造都至关重要。在本文中,我们将评估由医用辐射物理中心开发的MOSkin的响应情况,该系统设计用于在放疗过程中对患者进行实时皮肤剂量测量,当暴露在用于研究的脉冲高能电子(PEER)终端站的100兆电子束中时,MOSkin是否表现出剂量率独立性。PEER 在不用作 ANSTO 澳大利亚同步加速器的注入器时,使用 100 MeV 直线加速器的电子束。脉冲剂量率估计范围为(7.84±0.21)×105 Gy/s到(1.28±0.03)×107 Gy/s,峰值束剂量率估计为(2.55±0.06)×108 Gy/s,MOSkin测量结果与闪烁屏进行了验证,以确认MOSkin对输送电荷的反应成正比,因此在这种辐照环境下表现出剂量率独立性。
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引用次数: 0
Perspective of perovskite-based X-ray hybrid pixel array detectors 基于包晶的 X 射线混合像素阵列探测器展望
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.3389/fphy.2024.1395690
Michael Fiederle, Tilo Baumbach
Compound semiconductors are playing a major role in the production of X-ray pixel detectors for the application in laboratories and beamlines at photon sources. The performance of these detectors has constantly been improved for the last decades but experiments are still limited by the properties of the detector material, especially under high flux illumination. The fast development of perovskite crystals opens the possibility for new materials to be used as highly efficient X-ray pixel detectors. The published data until now, of the transport properties, demonstrate the large potential of perovskite semiconductors. The achieved values are comparable with the ones of CdTe-based detectors. This paper presents potential perovskite-based detector materials and compares their performance with the state-of-the-art CdTe-based detectors. The perspectives of perovskite semiconductors are promising for the production of large area X-ray detectors but still some challenges remain.
化合物半导体在实验室和光子源光束线应用的 X 射线像素探测器生产中发挥着重要作用。过去几十年来,这些探测器的性能不断提高,但实验仍然受到探测器材料特性的限制,特别是在高通量照明下。包晶晶体的快速发展为新材料用作高效 X 射线像素探测器提供了可能。迄今为止已公布的传输特性数据证明了包晶体半导体的巨大潜力。所达到的数值可与基于碲化镉的探测器相媲美。本文介绍了潜在的光致发光半导体探测器材料,并将其性能与最先进的碲化镉探测器进行了比较。透辉石半导体在生产大面积 X 射线探测器方面前景广阔,但仍存在一些挑战。
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引用次数: 0
Core and edge modeling of JT-60SA H-mode highly radiative scenarios using SOLEDGE3X–EIRENE and METIS codes 利用 SOLEDGE3X-EIRENE 和 METIS 代码对 JT-60SA H 模式高辐射情景进行核心和边缘建模
IF 3.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.3389/fphy.2024.1422286
L. De Gianni, G. Ciraolo, G. Giruzzi, G. Falchetto, N. Rivals, K. Gałązka, L. Balbinot, N. Varadarajan, S. Sureshkumar, J. F. Artaud, H. Bufferand, R. Düll, A. Gallo, P. Ghendrih, V. Quadri, G. Rubino, P. Tamain
In its first phase of exploitation, JT-60SA will be equipped with an inertially cooled divertor, which can sustain heat loads of 10 MW/m2 on the targets for a few seconds, which is much shorter than the intended discharge duration. Therefore, in order to maximize the duration of discharges, it is crucial to develop operational scenarios with a high radiated fraction in the plasma edge region without unacceptably compromising the scenario performance. In this study, the core and edge conditions of unseeded and neon-seeded deuterium H-mode scenarios in JT-60SA were investigated using METIS and SOLEDGE3X–EIRENE codes. The aim was to determine whether, and under which operational conditions, it would be possible to achieve heat loads at the targets significantly lower than 10 MW/m2 and potentially establish a divertor-detached regime while keeping favorable plasma core conditions. In first analysis, an investigation of the edge parameter space of unseeded scenarios was carried out. Simulations at an intermediate edge power of 15 MW indicate that, without seeded impurities, the heat loads at the targets are higher than 10 MW/m2 in attached cases, and achieving detachment is challenging, requiring upstream electron densities at least above 4 × 1019 m−3. This points toward the need for impurity injection during the first period of exploitation of the machine. Therefore, neon seeding simulations were carried out, performing a seeding rate scan and an injected power scan while keeping the upstream electron density at the separatrix at 3 × 1019 m−3. They show that at 15 MW of power injected into the edge plasma, the inner target is easily detached and presents low heat loads when neon is injected. However, at the outer target, the heat fluxes are not lowered below 10 MW/m2, even when the power losses in the edge plasma are equal to 50% of the power crossing the separatrix. Therefore, the tokamak will probably need to be operated in a deep detached regime in its first phase of exploitation for discharges longer than a few seconds. In the framework of core–edge integrated modeling, using METIS, the power radiated in the core was computed for the most interesting cases.
在第一阶段利用中,JT-60SA 将配备一个惯性冷却分流器,它可以在目标上承受 10 兆瓦/平方米的热负荷几秒钟,这比预定的放电持续时间短得多。因此,为了最大限度地延长放电持续时间,必须在等离子体边缘区域开发具有高辐射分数的运行方案,同时又不对方案性能造成不可接受的影响。在本研究中,使用 METIS 和 SOLEDGE3X-EIRENE 代码对 JT-60SA 中未掺杂和掺杂氖的氘 H 模式情景的核心和边缘条件进行了研究。目的是确定在哪些运行条件下,是否有可能使目标的热负荷大大低于 10 MW/m2,并有可能在保持良好的等离子体核心条件的同时,建立一个脱离岔流器的机制。在第一项分析中,对非种子方案的边缘参数空间进行了研究。在中等边缘功率(15 兆瓦)下进行的模拟表明,在没有杂质种子的情况下,目标处的热负荷在附着情况下高于 10 兆瓦/平方米,实现脱离具有挑战性,要求上游电子密度至少高于 4 × 1019 m-3。这表明,在机器投入使用的第一阶段需要注入杂质。因此,在将分离矩阵的上游电子密度保持在 3 × 1019 m-3 的情况下,进行了霓虹灯播种模拟,执行了播种率扫描和注入功率扫描。结果表明,在向边缘等离子体注入 15 兆瓦功率的情况下,注入氖后,内靶很容易脱离,热负荷也很低。然而,在外部目标处,即使边缘等离子体中的功率损耗等于穿过分离矩阵的功率的 50%,热通量也不会低于 10 MW/m2。因此,托卡马克在开发利用的第一阶段,放电时间超过几秒钟时,很可能需要在深度分离状态下运行。在堆芯-边缘综合建模框架内,利用 METIS 对最有趣的情况计算了堆芯辐射功率。
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