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Scalable, cloud-based simulations of blood flow and targeted drug delivery in retinal capillaries 可扩展的,基于云的模拟血液流动和视网膜毛细血管靶向药物输送
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-12-01 DOI: 10.1016/j.cpc.2025.109967
Lucas Amoudruz , Sergey Litvinov , Riccardo Murri , Volker Eyrich , Jens Zudrop , Costas Bekas , Petros Koumoutsakos
We investigate the capabilities of cloud computing for large-scale, tightly-coupled simulations of biological fluids in complex geometries, traditionally performed in supercomputing centers. We demonstrate scalable and efficient simulations in the public cloud. We perform meso-scale simulations of blood flow in image-reconstructed capillaries, and examine targeted drug delivery by artificial bacterial flagella (ABFs). The simulations deploy dissipative particle dynamics (DPD) with two software frameworks, Mirheo(developed by our team) and LAMMPS. Mirheoexhibits remarkable weak scalability for up to 512 GPUs. Similarly, LAMMPS demonstrated excellent weak scalability for pure solvent as well as for blood suspensions and ABFs in reconstructed retinal capillaries. In particular, LAMMPS maintained weak scaling above 90 % on the cloud for up to 2000 cores. Our findings demonstrate that cloud computing can support tightly coupled, large-scale scientific simulations with competitive performance.
我们研究了云计算在复杂几何中对生物流体进行大规模、紧密耦合模拟的能力,这些模拟传统上是在超级计算中心进行的。我们在公共云中演示了可扩展和高效的模拟。我们进行了图像重建毛细血管血流的中尺度模拟,并检查了人工细菌鞭毛(ABFs)的靶向药物递送。模拟使用两个软件框架,Mirheo(由我们的团队开发)和LAMMPS部署耗散粒子动力学(DPD)。mirheo表现出显著的弱可扩展性,最多可支持512个gpu。同样,LAMMPS在纯溶剂以及重建视网膜毛细血管中的血液悬浮液和abf中表现出优异的弱可扩展性。特别是,LAMMPS在高达2000核的云中保持了90%以上的弱扩展。我们的研究结果表明,云计算可以支持紧密耦合的、具有竞争力性能的大规模科学模拟。
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引用次数: 0
A Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes 三维非结构化网格上的内存缩减紧凑气体动力学方案
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-12-09 DOI: 10.1016/j.cpc.2025.109981
Hongyu Liu , Xing Ji , Yunpeng Mao , Zhe Qian , Kun Xu
This paper presents a memory-reduction third-order compact gas-kinetic scheme (CGKS) designed to solve compressible Euler and Navier-Stokes equations on 3D unstructured meshes. Utilizing the time-accurate gas distribution function, the gas kinetic solver provides a time-evolution solution at the cell interface, distinguishable from the Riemann solver with a constant solution. With the time evolution solution at the cell interface, evolving both the cell-averaged flow variables and the cell-averaged slopes of flow variables becomes feasible. Therefore, with the cell-averaged flow variables and their slopes inside each cell, the Hermite WENO (HWENO) techniques can be naturally implemented for the compact high-order reconstruction at the beginning of the next time step. However, the HWENO reconstruction method requires the storage of a reconstruction-coefficients matrix for the quadratic polynomial to achieve third-order accuracy, leading to substantial memory consumption. This memory overhead limits both computational efficiency and the scale of simulations.
A novel reconstruction method, built upon HWENO reconstruction, has been designed to enhance computational efficiency and reduce memory usage compared to the original CGKS. The simple idea is that the first-order and second-order terms of the quadratic polynomials are determined in a two-step way. In the first step, the second-order terms are obtained from the reconstruction of a linear polynomial of the first-order derivatives by only using the cell-averaged slopes, since the second-order derivatives are nothing but the ”derivatives of derivatives”. Subsequently, the first-order terms left can be determined by the linear reconstruction only using cell-averaged values. Thus, we successfully split one quadratic least-square regression into several linear least-square regressions, which are commonly used in a second-order finite volume code. Since only a 3 × 3 matrix inversion is needed in a 3-D linear least-square regression, the computational cost for the new reconstruction is dramatically reduced and the storage of the reconstruction-coefficient matrix is no longer necessary. The proposed memory reduction CGKS is tested for both inviscid and viscous flow at low and high speeds on hybrid unstructured meshes. The proposed new reconstruction technique can reduce the overall computational cost by about 20% to 30%. In the meantime, it also simplifies the algorithm. The challenging large-scale unsteady numerical simulation is performed, which demonstrates that the current improvement brings the CGKS to a new level for industrial applications.
针对三维非结构化网格上的可压缩欧拉方程和纳维-斯托克斯方程,提出了一种内存缩减型三阶紧凑气体动力学格式。利用时间精确的气体分布函数,气体动力学求解器提供了细胞界面的时间演化解,区别于具有常数解的黎曼求解器。有了单元界面处的时间演化解,单元平均流动变量和单元平均流动变量斜率的演化都变得可行。因此,有了单元平均流量变量及其在每个单元内的斜率,Hermite WENO (HWENO)技术可以在下一个时间步开始时自然地实现紧凑的高阶重建。然而,HWENO重建方法需要存储二次多项式的重建系数矩阵以达到三阶精度,导致大量内存消耗。这种内存开销限制了计算效率和模拟的规模。在HWENO重建的基础上,设计了一种新的重建方法,与原始CGKS相比,提高了计算效率并减少了内存使用。简单的想法是,二次多项式的一阶和二阶项是用两步的方式确定的。在第一步中,二阶项是通过仅使用单元平均斜率从一阶导数的线性多项式的重建中获得的,因为二阶导数只不过是“导数的导数”。随后,仅使用单元平均值进行线性重建即可确定剩余的一阶项。因此,我们成功地将一个二次最小二乘回归分解为几个线性最小二乘回归,这些回归通常用于二阶有限体积代码。由于在三维线性最小二乘回归中只需要3 × 3矩阵的反演,因此大大减少了新重构的计算成本,并且不再需要存储重构系数矩阵。在混合非结构化网格上,对所提出的内存减少CGKS进行了低速和高速无粘流和粘性流的测试。所提出的新重建技术可将总体计算成本降低约20% ~ 30%。同时,也简化了算法。进行了具有挑战性的大尺度非定常数值模拟,结果表明,目前的改进使CGKS达到了工业应用的新水平。
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引用次数: 0
RelExt: A new dark matter tool for the exploration of dark matter models 释放:一个新的暗物质工具,用于探索暗物质模型
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-12-06 DOI: 10.1016/j.cpc.2025.109968
Rodrigo Capucha , Karim Elyaouti , Margarete Mühlleitner , Johann Plotnikov , Rui Santos
We present the C++ program RelExt for Standard Model (SM) extensions that feature a Dark Matter (DM) candidate. The tool allows to efficiently scan the parameter spaces of these models to find parameter combinations that lead to relic density values which are compatible with the measured value within the uncertainty specified by the user. The code computes the relic density for freeze-out (co-)annihilation processes. The user can choose between several pre-installed models or any arbitrary other model featuring a discrete Z2 symmetry, by solely providing the corresponding FeynRules model files. The code automatically generates the required (co-)annihilation amplitudes and thermally averaged cross sections, including the total widths in the s-channel mediators, and solves the Boltzmann equation to determine the relic density. It can easily be linked to other tools like e.g. ScannerS to check for the relevant theoretical and experimental constraints, or to BSMPT to investigate the phase history of the model and possibly related gravitational waves signals.
我们提出了标准模型(SM)扩展的c++程序RelExt,该扩展具有暗物质(DM)候选。该工具可以有效地扫描这些模型的参数空间,找到在用户指定的不确定度范围内与测量值兼容的遗物密度值的参数组合。该代码计算了冻结(共)湮灭过程的遗迹密度。用户可以通过单独提供相应的FeynRules模型文件,在几个预装模型或具有离散Z2对称性的任意其他模型之间进行选择。该代码自动生成所需(共)湮灭振幅和热平均截面,包括s通道介质的总宽度,并求解玻尔兹曼方程以确定遗迹密度。它可以很容易地连接到其他工具,例如扫描仪,以检查相关的理论和实验约束,或BSMPT,以调查模型的相位历史和可能相关的引力波信号。
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引用次数: 0
MHIT36: Extension to wall-bounded turbulence and scalar transport equation 有壁湍流和标量输运方程的推广
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-25 DOI: 10.1016/j.cpc.2025.109956
Alessio Roccon
We present an extended version of MHIT36, a GPU-tailored solver for interface-resolved simulations of multiphase turbulence. The framework couples direct numerical simulation (DNS) of the Navier–Stokes equations, which describe the flow field, with a phase-field method to capture interfacial phenomena. In addition, the transport equation for a scalar can also be solved. The governing equations are discretized using a second-order finite difference scheme. The Navier–Stokes equations are time advanced with an explicit fractional-step method, and the resulting pressure Poisson equation is solved using a FFT-based method. The accurate conservative diffuse interface (ACDI) formulation is used to describe the transport of the phase-field variable. Simulations can be performed in two configurations: a triply-periodic cubic domain or a rectangular domain of arbitrary dimensions bounded by two walls. From a computational standpoint, MHIT36 employs a two-dimensional domain decomposition to distribute the workload across MPI tasks. The cuDecomp library is used to perform pencil transpositions and halo updates, while the cuFFT library and OpenACC directives are leveraged to offload the remaining computational kernels to the GPU. MHIT36 is developed using the managed memory feature and it provides a baseline code that is easy to further extend and modify. MHIT36 is released open source under the MIT license.
我们提出了一个扩展版本的MHIT36,一个gpu定制的求解器,用于多相湍流的界面解析模拟。该框架将描述流场的Navier-Stokes方程的直接数值模拟(DNS)与相场方法相结合,以捕捉界面现象。此外,还可以求解标量的输运方程。采用二阶有限差分格式对控制方程进行离散化。采用显式分步法对Navier-Stokes方程进行时间推进,并采用基于fft的方法求解得到的压力泊松方程。采用精确保守扩散界面(ACDI)公式来描述相场变量的输运。模拟可以在两种配置下进行:三周期立方域或任意尺寸的由两面墙包围的矩形域。从计算的角度来看,MHIT36采用二维域分解来跨MPI任务分配工作负载。cuDecomp库用于执行铅笔换位和光晕更新,而cuFFT库和OpenACC指令用于将剩余的计算内核卸载到GPU。MHIT36是使用托管内存特性开发的,它提供了一个易于进一步扩展和修改的基准代码。MHIT36是在MIT许可下开源发布的。
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引用次数: 0
Numerical implementation of the partial secular approximation and unified master equation in structured open quantum systems 结构开放量子系统中部分长期近似和统一主方程的数值实现
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-21 DOI: 10.1016/j.cpc.2025.109948
Antti Vaaranta , Marco Cattaneo
The Markovian dynamics of open quantum systems is typically described through Lindblad equations, which are derived from the Redfield equation via the full secular approximation. The latter neglects the rotating terms in the master equation corresponding to pairs of jump operators with different Bohr frequencies. However, for many physical systems this approximation breaks down, and thus a more accurate treatment of the slowly rotating terms is required. Indeed, more precise physical results can be obtained by performing the partial secular approximation, which takes into account the relevant time scale associated with each pair of jump operators and compares it with the time scale arising from the system-environment coupling. In this work, we introduce a general code for performing the partial secular approximation in the Redfield equation for structured open quantum systems. The code can be applied to a generic Hamiltonian of any multipartite system coupled to bosonic baths. Moreover, it can also reproduce the unified master equation, which captures the same physical behavior as the Redfield equation under the partial secular approximation, but is mathematically guaranteed to generate a completely positive dynamical map. Finally, the code can compute both the local and global version of the master equation for the same physical problem. We illustrate the code by studying the steady-state heat flow in a structured open quantum system composed of two superconducting qubits, each coupled to a bosonic mode, which in turn interacts with a thermal bath. The results in this work can be employed for the numerical study of a wide range of complex open quantum systems.
开放量子系统的马尔可夫动力学通常通过Lindblad方程来描述,Lindblad方程是通过完全长期近似从Redfield方程导出的。后者忽略了主方程中对应于具有不同玻尔频率的跳跃算子对的旋转项。然而,对于许多物理系统,这种近似失效了,因此需要更精确地处理缓慢旋转的项。事实上,通过执行部分长期近似可以获得更精确的物理结果,该近似考虑了与每对跳跃算子相关的时间尺度,并将其与系统-环境耦合产生的时间尺度进行比较。在这项工作中,我们引入了一个通用代码,用于在结构化开放量子系统的Redfield方程中执行部分长期逼近。该代码可应用于与玻色子场耦合的任何多部系统的一般哈密顿量。此外,它还可以再现统一的主方程,它在部分长期近似下捕获与Redfield方程相同的物理行为,但在数学上保证生成完全正的动态映射。最后,代码可以计算同一物理问题的主方程的局部和全局版本。我们通过研究由两个超导量子比特组成的结构化开放量子系统中的稳态热流来说明代码,每个量子比特都耦合到玻色子模式,而玻色子模式又与热浴相互作用。这项工作的结果可用于广泛的复杂开放量子系统的数值研究。
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引用次数: 0
Physics-based super-resolved simulation of 3D elastic wave propagation adopting scalable diffusion transformer 采用可扩展扩散变压器的三维弹性波传播的物理超分辨模拟
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-14 DOI: 10.1016/j.cpc.2025.109930
Hugo Gabrielidis , Filippo Gatti , Stéphane Vialle
In this study, we develop a Diffusion Transformer (referred as to DiT1D) for synthesizing realistic earthquake time histories. The DiT1D generates realistic broadband accelerograms (0–30Hz resolution), constrained at low frequency by 3-dimensional (3D) elastodynamics numerical simulations, ensuring the fulfillment of the minimum observable physics. The DiT1D architecture, successfully adopted in super-resolution image generation, is trained on recorded single-station 3-components (3C) accelerograms. Thanks to Multi-Head Cross-Attention (MHCA) layers, we guide the DiT1D inference by enforcing the low-frequency part of the accelerogram spectrum into it. The DiT1D learns the low-to-high frequency map from the recorded accelerograms, duly normalized, and successfully transfer it to synthetic time histories. The latter are low-frequency by nature, because of the lack of knowledge on the underground structure of the Earth, demanded to fully calibrate the numerical model. We developed a CNN-LSTM lightweight network in conjunction with the DiT1D, so to predict the peak amplitude of the broadband signal from its low-pass-filtered counterpart, and rescale the normalized accelerograms rendered by the DiT1D. Despite the DiT1D being agnostic to any earthquake event peculiarities (magnitude, site conditions, etc.), it showcases remarkable zero-shot prediction realism when applied to the output of validated earthquake simulations. The generated time histories are viable input accelerograms for earthquake-resistant structural design and the pre-trained DiT1D holds a huge potential to integrate full-scale fault-to-structure digital twins of earthquake-prone regions. The pretrained DiT1D is available at https://github.com/HugoGabrielidis16/Seismic_DiT1D.
在这项研究中,我们开发了一个用于合成真实地震时程的扩散变压器(简称DiT1D)。DiT1D产生真实的宽带加速度图(0-30Hz分辨率),受三维(3D)弹性动力学数值模拟的低频限制,确保实现最小的可观察物理。DiT1D架构已成功用于超分辨率图像生成,并在记录的单站三分量加速度(3C)上进行了训练。得益于多头交叉注意(MHCA)层,我们通过将加速度谱的低频部分强制加入到DiT1D推断中来指导DiT1D推断。DiT1D从记录的加速度图中学习低频到高频的映射,适当地归一化,并成功地将其转换为合成时间历史。后者本质上是低频的,由于缺乏对地球地下结构的认识,需要对数值模型进行充分的校准。我们与DiT1D一起开发了一个CNN-LSTM轻量级网络,以便从其低通滤波对应的宽带信号中预测峰值幅度,并重新缩放由DiT1D呈现的归一化加速度图。尽管DiT1D对任何地震事件的特性(震级、场地条件等)都不可知,但当应用于经过验证的地震模拟输出时,它显示出显著的零射击预测真实感。生成的时间历史是抗震结构设计的可行输入加速度图,并且预训练的DiT1D具有巨大的潜力,可以整合地震易发地区的全尺寸断层-结构数字孪生。预训练的DiT1D可在https://github.com/HugoGabrielidis16/Seismic_DiT1D上获得。
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引用次数: 0
Hybrid spectral semi-Lagrangian method for electromagnetic gyrokinetic simulations of Tokamak plasma 托卡马克等离子体电磁陀螺动力学模拟的混合光谱半拉格朗日方法
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-16 DOI: 10.1016/j.cpc.2025.109953
Pengfei Zhao, Lei Ye, Xiaotao Xiao
The Numerical Lie Transform approach for gyrokinetic simulation has been extended to the electromagnetic model through integration with the mixed-variable and pull-back scheme. We developed a hybrid spectral semi-Lagrangian method for solving the gyrokinetic equation in toroidal geometry. The nonlinear Vlasov equation is expressed in a convective formalism aligned with unperturbed gyrocenter trajectories. Combined with toroidal spectral decomposition, this reformulation enables efficient semi-Lagrangian solutions through fixed-point interpolation method with 3D B-splines. The implemented algorithm in the NLT code facilitates electromagnetic turbulence simulations in tokamak plasmas. Verification was achieved through systematic benchmarking against electromagnetic instabilities including ion temperature gradient (ITG) modes, trapped electron modes (TEM), kinetic ballooning modes (KBM), toroidal Alfvén eigenmodes (TAE), and energetic particle-driven modes (EPM).
通过与混合变量和回拉方案的集成,将用于陀螺动力学仿真的数值李变换方法扩展到电磁模型中。提出了一种求解环面几何陀螺动力学方程的混合谱半拉格朗日方法。非线性Vlasov方程用无摄动陀螺仪中心轨迹对齐的对流形式表示。结合环面谱分解,通过三维b样条不动点插值法实现了高效的半拉格朗日解。在NLT代码中实现的算法便于在托卡马克等离子体中进行电磁湍流模拟。通过对电磁不稳定性进行系统基准测试,包括离子温度梯度(ITG)模式、捕获电子模式(TEM)、动力学气球模式(KBM)、环形alfv本征模式(TAE)和高能粒子驱动模式(EPM),验证了该方法。
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引用次数: 0
Automated workflow for non-empirical Wannier-localized optimal tuning of range-separated hybrid functionals 范围分离混合泛函的非经验wanner -局域优化调整的自动化工作流程
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-12-18 DOI: 10.1016/j.cpc.2025.109995
Stephen E. Gant , Francesco Ricci , Guy Ohad , Ashwin Ramasubramaniam , Leeor Kronik , Jeffrey B. Neaton
We introduce an automated workflow for generating non-empirical Wannier-localized optimally-tuned screened range-separated hybrid (WOT-SRSH) functionals. WOT-SRSH functionals have been shown to yield highly accurate fundamental band gaps, band structures, and optical spectra for bulk and 2D semiconductors and insulators. Our workflow automatically and efficiently determines the WOT-SRSH functional parameters for a given crystal structure and composition, approximately enforcing the correct screened long-range Coulomb interaction and an ionization potential ansatz. In contrast to previous manual tuning approaches, our tuning procedure relies on a new search algorithm that only requires a few hybrid functional calculations with minimal user input. We demonstrate our workflow on 23 previously studied semiconductors and insulators, reporting the same high level of accuracy. By automating the tuning process and improving its computational efficiency, the approach outlined here enables applications of the WOT-SRSH functional to compute spectroscopic and optoelectronic properties for a wide range of materials.
我们介绍了一个自动化的工作流,用于生成非经验的WOT-SRSH (WOT-SRSH)泛函。WOT-SRSH功能已被证明可以为块状和2D半导体和绝缘体产生高精度的基本带隙、带结构和光谱。我们的工作流程自动有效地确定给定晶体结构和组成的WOT-SRSH功能参数,大致执行正确筛选的远程库仑相互作用和电离势分析。与以前的手动调优方法相比,我们的调优过程依赖于一种新的搜索算法,该算法只需要少量混合函数计算和最少的用户输入。我们在23个先前研究的半导体和绝缘体上展示了我们的工作流程,报告了相同的高精确度。通过自动化调谐过程并提高其计算效率,本文概述的方法使WOT-SRSH函数的应用能够计算各种材料的光谱和光电子特性。
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引用次数: 0
ggxy: A flexible library to compute gluon-induced cross sections 一个灵活的计算胶子诱导截面的库
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-14 DOI: 10.1016/j.cpc.2025.109933
Joshua Davies , Kay Schönwald , Matthias Steinhauser , Daniel Stremmer
We present the library ggxy, written in C++, which can be used to compute partonic and hadronic cross sections for gluon-induced processes with at least one closed heavy quark loop. It is based on analytic ingredients which avoids, to a large extent, expensive numerical integration. This results in significantly shorter run-times than other similar tools. Modifying input parameters, changing the renormalization scheme and varying renormalization and factorization scales is straightforward. In Version 1 of ggxy we implement all routines which are needed to compute partonic and hadronic cross sections for Higgs boson pair production up to next-to-leading order in QCD. We provide flexible interfaces and allow the user to interact with the built-in amplitudes at various levels. PROGRAM SUMMARY Program title: ggxy Developer’s repository link: https://gitlab.com/ggxy/ggxy-release Licensing provisions: GNU General Public License Version 3 Programming language: C++ and Fortran External routines/libraries used: avhlib, boost, Collier, CuTtools, eigen, LHAPDF, lievaluate, OneLOop, Recola, CRunDec Nature of problem: The computation of partonic and hadronic cross sections for gluon-induced processes. In Version 1, the Higgs boson pair production process is implemented at next-to-leading order in Quantum Chromodynamics. Solution method: For the virtual corrections, deep expansions around the forward and high energy limit are used. Restrictions: The run-times depend crucially on the requested precision. Results at the per-mille level can be obtained in about 30 minutes using a single core on a AMD Ryzen Threadripper PRO 3955WX processor. References and Links: are provided in the paper
我们提出了用c++编写的库ggxy,它可以用于计算至少有一个闭合重夸克环的胶子诱导过程的部分子和强子截面。它基于解析成分,在很大程度上避免了昂贵的数值积分。与其他类似的工具相比,这大大缩短了运行时间。修改输入参数,改变重整化方案,改变重整化和分解尺度是很简单的。在ggxy的版本1中,我们实现了计算希格斯玻色子对产生的局部和强子横截面所需的所有例程,直到QCD中的次领先顺序。我们提供灵活的界面,并允许用户与不同级别的内置振幅进行交互。程序摘要程序标题:ggxy开发人员的存储库链接:https://gitlab.com/ggxy/ggxy-release许可条款:GNU通用公共许可证版本3编程语言:c++和Fortran使用的外部例程/库:avhlib, boost, Collier, CuTtools, eigen, LHAPDF, lievaluate, OneLOop, Recola, CRunDec问题的性质:计算胶子诱导过程的局部和强子截面。在版本1中,希格斯玻色子对的产生过程在量子色动力学中处于次领先的顺序。求解方法:对于虚修正,采用正向和高能极限附近的深度展开。限制:运行时间主要取决于所请求的精度。在AMD Ryzen Threadripper PRO 3955WX处理器上使用单核可以在大约30分钟内获得每英里级别的结果。论文中提供了参考文献和链接
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引用次数: 0
A Wigner matrix based convolution algorithm for matrix elements in the LCAO method LCAO方法中基于Wigner矩阵的矩阵元素卷积算法
IF 3.4 2区 物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-03-01 Epub Date: 2025-11-15 DOI: 10.1016/j.cpc.2025.109950
Tyler C. Sterling
The linear combination of atomic orbitals (LCAO) method uses a small basis set in exchange for expensive matrix element calculations. The most efficient approximation for the matrix element calculations is the two-center approximation (2CA) in tight binding (TB). In the 2CA, a variety of matrix elements are neglected with only “two-center integrals” (2CI) remaining. The 2CI are calculated efficiently by rotating to symmetrical coordinates where the integral is parameterized. This makes TB fast in exchange for diminished transferability. An ideal electronic structure method has both the efficiency of TB and the transferability of ab-initio methods. In this work, I expand the full crystal potential into multipoles where the resulting matrix elements are transformed into the form of 2CI between high angular momentum functions. The usual Slater-Koster formulae for TB are limited to l ≤ 3; to enable efficient evaluation of the full crystal potential 2CI, I derive a Wigner matrix based convolution algorithm (WMCA) that works for arbitrary angular momentum. Given a suitable method for generating a local ab-initio Kohn-Sham potential, the algorithm for calculating matrix elements is applicable to fully ab-initio LCAO methods (this is the subject of forthcoming work). In this paper, I apply the WMCA to silicon using a model crystal potential.
原子轨道线性组合(LCAO)方法使用一个小的基集,以换取昂贵的矩阵元素计算。对于矩阵单元的计算,最有效的近似是紧结合(TB)中的双中心近似(2CA)。在2CA中,忽略了各种矩阵元素,只剩下“两中心积分”(2CI)。通过旋转到对称坐标,其中积分是参数化的,可以有效地计算2CI。这使得结核病发展迅速,以减少可转移性为代价。理想的电子结构方法既具有TB的效率,又具有ab-initio方法的可转移性。在这项工作中,我将全晶体势扩展为多极,由此产生的矩阵元素转换为高角动量函数之间的2CI形式。TB通常的Slater-Koster公式限于1 ≤ 3;为了能够有效地评估全晶体电位2CI,我推导了一个基于Wigner矩阵的卷积算法(WMCA),适用于任意角动量。给定一种合适的生成局部从头算Kohn-Sham势的方法,计算矩阵元素的算法适用于完全从头算LCAO方法(这是即将开展的工作的主题)。在本文中,我使用模型晶体电位将WMCA应用于硅。
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