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Phytochemical-modulated combustion synthesis of CuFe2O4: defect architecture-driven enhancement in photocatalysis, antioxidant activity, and electrochemical sensing 植物化学调节燃烧合成CuFe2O4:缺陷结构驱动的光催化、抗氧化活性和电化学传感增强
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-026-07317-0
R. Chaithra, A. P. Nagendra Babu, K. Sphoorthi, C. G. Renuka

Long-term, high-performance nanocatalyst development requires environmentally friendly synthesis, defect engineering, and multifunctionality. CuFe2O4 nanospinels were ecologically produced using phytogenic combustion and bioactive fuels derived from Plumeria rubra and Caesalpinia pulcherrima. The lattice constants were 4.46 and 4.88 Å, while the Plumeria and Caesalpinia crystallites had sizes of 11.56 and 10.82 nm, respectively. FESEM analysis revealed semi-spherical nanoparticles with diameters of 35.0 and 36.7 nm. UV–Vis spectroscopy revealed that Plumeria and Caesalpinia defects serve as mediators of strong electronic transitions. The indirect bandgap is 2.22 eV, while the direct bandgap is adjustable up to 2.60 eV. Photoluminescence emission at 486–624 nm revealed oxygen vacancies, antisite disorder, mixed-valence Cu⁺/Cu3⁺ and Fe3⁺ centres, and Jahn–Teller distortions. Electrochemical profiling revealed reversible redox processes with peak currents of 1.95 mA and −1.83 mA, providing sensitive biosensing capabilities. The CuFe2O4 electrode's rapid electron-transfer kinetics and numerous electroactive sites resulted in low detection limits of 0.172 μM for L-histidine and 0.329 μM for D-fructose. Plumeria nanoparticles had a higher radical-quenching efficiency (IC50) of 107.42 mg mL−1 in DPPH-based antioxidant tests than Caesalpinia nanoparticles (IC50) of 978.16 mg mL−1. After 120 min of sunlight exposure, the Plumeria catalyst reduced anthocyanin dyes by 71.84%, while the Caesalpinia catalyst reduced them by 75.86%. Kinetic analysis confirmed the pseudo-first-order behaviour at rate constants of 0.0106 and 0.0114 per minute. The two catalysts' efficiency remained between 65 and 69% after four degradation cycles. This study uses phytogenic combustion to create CuFe₂O₄ nanospinels that are defect-free, optoelectronically flexible, and catalytically stable. They are scalable nanomaterials with a wide range of beneficial properties, including antioxidant, photocatalytic, structural, optical, electrochemical, and advanced biosensing capabilities, as well as pollution degradation and multifunctional catalysis.

长期、高性能纳米催化剂的发展需要环境友好型合成、缺陷工程和多功能性。利用植物源性燃烧和产自鹅毛Plumeria rubra和Caesalpinia pulcherrima的生物活性燃料生态生产CuFe2O4纳米尖晶石。晶格常数分别为4.46和4.88 Å,而Plumeria和Caesalpinia晶体的尺寸分别为11.56和10.82 nm。FESEM分析显示,纳米颗粒直径分别为35.0 nm和36.7 nm。紫外可见光谱分析表明,鸡蛋花和羽衣甘蓝缺陷是强电子跃迁的介质。间接带隙为2.22 eV,直接带隙可调至2.60 eV。486-624 nm处的光致发光显示出氧空位、反位紊乱、混合价Cu + /Cu3 +和Fe3 +中心以及Jahn-Teller畸变。电化学分析显示,可逆氧化还原过程的峰值电流为1.95 mA和- 1.83 mA,具有灵敏的生物传感能力。CuFe2O4电极具有快速的电子转移动力学和大量的电活性位点,使得l -组氨酸和d -果糖的检出限分别为0.172 μM和0.329 μM。在dpph基抗氧化实验中,鸡蛋花纳米粒子的自由基猝灭效率(IC50)为107.42 mg mL−1,而羽衣草纳米粒子的IC50为978.16 mg mL−1。光照120 min后,Plumeria催化剂对花青素的还原率为71.84%,Caesalpinia催化剂对花青素的还原率为75.86%。动力学分析证实了在速率常数为0.0106和0.0114 / min时的伪一阶行为。经过4次降解循环后,两种催化剂的效率保持在65 - 69%之间。本研究使用植物性燃烧制备CuFe₂O₄纳米尖晶石,该尖晶石具有无缺陷、光电柔性和催化稳定性。它们是可扩展的纳米材料,具有广泛的有益特性,包括抗氧化、光催化、结构、光学、电化学和先进的生物传感能力,以及污染降解和多功能催化。
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引用次数: 0
Design and fabrication of NdFeO3 adorned on MXene: a hybrid electrode for supercapacitor applications MXene上修饰NdFeO3的设计与制备:超级电容器用混合电极
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-025-07272-2
Wajih Ullah, Asghar Nazir, Sundas Rani, Albandari W. Alrowaily, B. M. Alotaibi, Haifa A. Alyousef, Eman Alzahrani, Abhinav Kumar, Rizwan Ul Hassan

This study investigated the electrochemical characteristics of NdFeO3 nanocomposite improved with added small quantity of MXene. The NdFeO3/MXene was synthesized using a standard solve-thermal technique and analyzed using X-ray diffraction, Fourier Transform Infrared Spectroscopy, etc . The electrochemical efficiency of the composite was tested for supercapacitors (SCs). The compositive was investigated in 3 M KOH electrolytic solution where NdFeO3/MXene was pasted on nickel foam and served as working electrode. CV revealed that NdFeO3/MXene has reached the capacitance of 1148.12 F g−1 (5 mV s−1). GCD research revealed that NdFeO3 nanoparticles along with NdFeO3/MXene nanocomposite had capacitance values of 703.17 F g−1 as well as 1315.06 F g−1 at 1 A g−1. The NdFeO3/MXene indicated that greater Ed along with Pd is 17.99 Wh kg−1, 510 W kg−1. After 4700 cycles, the material containing NdFeO3/MXene nanocomposite remained stable. Chrono test confirmed high stability of composite material. The electrochemical investigation of generated NdFeO3 nanocomposite shown that addition of MXene caused in a hybrid capacitive nature, as the suggested NdFeO3/MXene can be used as SCs electrodes in energy storage. The NdFeO3/MXene nanocomposite exhibits excellent electrochemical performance as compared to previously reported perovskite–MXene, due to its optimized hetero-interface, greater electrical conductivity, as well as abundant redox active site. The incorporation of NdFeO3 enhanced pseudo-capacitive behavior, while MXene provides quick electron transport pathway, resulting in higher specific capacitance, outstanding rate capability, and cyclic stability to earlier perovskite–MXene.

Graphical abstract

研究了添加少量MXene后改善的NdFeO3纳米复合材料的电化学特性。采用标准溶剂热法合成了NdFeO3/MXene,并用x射线衍射、傅里叶变换红外光谱等方法对其进行了分析。在超级电容器(SCs)上测试了复合材料的电化学效率。在3 M KOH电解溶液中,将NdFeO3/MXene粘贴在泡沫镍上作为工作电极,对复合材料进行了研究。CV结果表明,NdFeO3/MXene的电容量达到1148.12 F g−1 (5 mV s−1)。GCD研究表明,NdFeO3纳米粒子与NdFeO3/MXene纳米复合材料在1 A g−1下的电容值分别为703.17 F g−1和1315.06 F g−1。NdFeO3/MXene表明,随着Pd的增加,Ed增大了17.99 Wh kg−1,510 W kg−1。循环4700次后,含NdFeO3/MXene纳米复合材料保持稳定。Chrono试验证实了复合材料的高稳定性。对制备的NdFeO3纳米复合材料的电化学研究表明,MXene的加入使其具有混合电容性,表明NdFeO3/MXene可以用作储能的SCs电极。与先前报道的钙钛矿- MXene相比,NdFeO3/MXene纳米复合材料由于其优化的异质界面、更高的导电性以及丰富的氧化还原活性位点,具有优异的电化学性能。NdFeO3的掺入增强了伪电容行为,而MXene提供了快速的电子传递途径,使得比电容更高,速率能力突出,循环稳定性优于早期的钙钛矿- MXene。图形抽象
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引用次数: 0
Molecular dynamics simulation of mechanical properties in polymer nanocomposites reinforced with hydrogen and fluorine-functionalized SWCNTs 氢氟功能化SWCNTs增强聚合物纳米复合材料力学性能的分子动力学模拟
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-026-07291-7
M. Eghbalian, R. Ansari, A. Nikparsa

This study presents the first systematic molecular dynamics investigation of polyethylene (PE) and polypropylene (PP) nanocomposites reinforced with randomly functionalized single-walled carbon nanotubes (SWCNTs). Armchair (8,8) and zigzag (14,0) SWCNTs with nearly identical diameters (10 Å) were functionalized with hydrogen and fluorine atoms at 5–25% functionalization levels and incorporated into polymer matrices at 10% volume fraction. Representative volume elements (RVEs) were subjected to tensile loading simulations up to failure using Tersoff and Dreiding potentials to quantify Young’s modulus, maximum stress, failure strain, strain energy, and toughness. Results demonstrate that increasing functionalization consistently reduces mechanical properties across all systems, with Young’s modulus decreasing from range of 60–70 GPa to the range of 40–50 GPa and maximum stress declining from around 11 GPa. Zigzag SWCNTs generally outperformed armchair configurations in stiffness and strength, while armchair SWCNTs exhibited superior strain capacity. PE-based nanocomposites showed slightly better performance than PP-based systems for certain properties. Although CNT–polymer nanocomposites have been widely studied, a systematic comparison of randomly applied hydrogen and fluorine functionalization in both PE and PP matrices has not been conducted before. Comprehensive comparative analysis between functionalization types, polymer matrices, and nanotube chiralities provides essential design guidelines for optimizing nanocomposite performance in various applications.

本研究首次对随机功能化单壁碳纳米管(SWCNTs)增强聚乙烯(PE)和聚丙烯(PP)纳米复合材料进行了系统的分子动力学研究。直径几乎相同的扶手形(8,8)和锯齿形(14,0)SWCNTs (10 Å)被5-25%功能化水平的氢和氟原子功能化,并以10%的体积分数掺入聚合物基质中。使用Tersoff和Dreiding势来量化杨氏模量、最大应力、破坏应变、应变能和韧性,代表性体积单元(RVEs)受到拉伸加载模拟直至失效。结果表明,功能化程度的提高会降低所有体系的力学性能,杨氏模量从60-70 GPa下降到40-50 GPa,最大应力从11 GPa左右下降。锯齿形SWCNTs在刚度和强度方面普遍优于扶手椅构型,而扶手椅SWCNTs表现出更强的应变能力。聚乙烯基纳米复合材料在某些性能上略优于聚丙烯基纳米复合材料。虽然碳纳米管聚合物纳米复合材料已经得到了广泛的研究,但在PE和PP基质中随机应用氢和氟功能化的系统比较之前尚未进行过。功能化类型、聚合物基质和纳米管手性之间的综合比较分析为优化纳米复合材料在各种应用中的性能提供了必要的设计指导。
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引用次数: 0
Robust image hashing scheme with RFG-GRL and chaotic encryption for content authentication 基于RFG-GRL和混沌加密的鲁棒图像哈希方案用于内容认证
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-026-07328-x
Zhi-jie Kang, Xiu-fang Feng, Yu-li Yang, Shuang Zhou, Hao Zhang

In this paper, a secure image hashing algorithm is proposed for content authentication. A novel algorithm termed Robust Feature-Guided Gridded Region Localization is designed first. This algorithm is utilized to locate highly discriminative regions with both robustness and uniform distribution. Then, the local and global structural features are extracted in parallel from these regions by employing spatial-topological kernel principal component analysis and rapid structure-preserving two-dimensional principal component analysis, and are subsequently combined to form the intermediate hash. To enhance security, a two-dimensional tent cubic coupling mapping with hyperchaos is further proposed to encrypt the hash. Experimental results demonstrate that the proposed algorithm possesses good robustness and discriminative properties when compared with recent baseline algorithms.

本文提出了一种用于内容认证的安全图像哈希算法。首先设计了一种鲁棒特征引导网格区域定位算法。该算法既具有鲁棒性,又具有均匀分布的特点。然后,通过空间拓扑核主成分分析和快速结构保持二维主成分分析,从这些区域中并行提取局部和全局结构特征,并将其组合形成中间哈希。为了提高安全性,进一步提出了一种带超混沌的二维帐篷立方耦合映射对哈希进行加密。实验结果表明,与现有的基线算法相比,该算法具有良好的鲁棒性和判别性。
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引用次数: 0
Superheavy nuclei ground-state masses and separation energies in the two-body model 两体模型中超重核的基态质量和分离能
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-025-07251-7
A. Armat, S. Mohammad Moosavi Nejad

In the region of superheavy nuclei, where experimental data are scarce, theoretical calculations of separation energies and masses are vital for understanding their properties and potential stability. In this work, we calculate the proton and neutron separation energies for superheavy nuclei in the framework of a two-body model. To this aim, we first consider a nucleus as a two-body system, so using the Schrödinger equation in the presence of a nonrelativistic potential including the magnetic moments and Coulomb interactions, we determine the mass equation of the nuclei, analytically. Having the analytical solutions, we compute the ground-state mass of superheavy nuclei including Rf, Db, Sg, Bh, Hs, Mt, Ds, and Rg as well as the one- and two-nucleon separation energies. Our theoretical results are compared with the existing experimental data.

在实验数据匮乏的超重核区域,分离能和质量的理论计算对于理解它们的性质和潜在稳定性至关重要。本文在二体模型的框架下,计算了超重核的质子和中子分离能。为此,我们首先考虑一个核作为一个两体系统,所以使用Schrödinger方程在一个非相对论的势存在,包括磁矩和库仑相互作用,我们确定原子核的质量方程,解析。有了解析解,我们计算了包括Rf、Db、Sg、Bh、Hs、Mt、Ds和Rg在内的超重核的基态质量以及一核子和二核子的分离能。我们的理论结果与已有的实验数据进行了比较。
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引用次数: 0
Deep learning-based speech enhancement via adaptive Trans-UNet with novel loss function using enhanced aquila optimization algorithm 基于深度学习的语音增强:基于新型损失函数的自适应Trans-UNet
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-026-07299-z
Senthamizh Selvi R, Resmi R. Nair, Suresh G. R

Background

In audio and speech signal processing, speech enhancement is thought of as a significant task. Speech improvement intends to improve the accessibility and excellence of an audio signal that has been weakened by ambient noise. The research on speech enrichment is the toughest process because of the degree of degradation of the speech signals. Diverse strategies for speech improvement are used based on the type of weakening and noise in the speech signal. As a result, the research in this area is still difficult, particularly when handling reverberation and extremely irregular noise. In this study, an enhanced speech enhancement framework is created using optimized deep learning techniques to improve both the quality and clarity of speech signals. At first, the required speech signal is collected from online resources. Further, the collected speech signal is directly passed to atrous convolution-based adaptive Trans-UNet (ACAT-UNet) with a novel loss function to attain the enhanced speech signal. Here, the loss function is incorporated with the deep learning model to enhance speech intelligibility. Furthermore, the speech enhancement performance of the ACAT-UNet is enhanced by fine-tuning the hyperparameters using the Updated Randomized Variable-based Aquila Optimizer (URVAO). The efficacy of the recommended speech improvement system is evaluated by conducting extensive simulations and experiments by contrasting it with other existing SE techniques. The numerical findings revealed that the suggested approach attained a root mean square error (RMSE) value of 0.226779.

在音频和语音信号处理中,语音增强被认为是一项重要的任务。语音改进旨在提高被环境噪声削弱的音频信号的可访问性和质量。由于语音信号的退化程度,语音富集的研究是最困难的过程。基于语音信号中弱化和噪声的类型,采用了不同的语音改善策略。因此,这方面的研究仍然很困难,特别是在处理混响和极其不规则的噪声时。在本研究中,使用优化的深度学习技术创建了一个增强的语音增强框架,以提高语音信号的质量和清晰度。首先,从在线资源中采集所需的语音信号。然后,将采集到的语音信号直接传递到基于亚鲁斯卷积的自适应跨单元网络(ACAT-UNet)中,并采用一种新的损失函数来获得增强的语音信号。在这里,损失函数与深度学习模型相结合,以提高语音的可理解性。此外,ACAT-UNet的语音增强性能是通过使用更新的基于随机变量的Aquila优化器(URVAO)微调超参数来提高的。通过大量的模拟和实验,并与其他现有的语音识别技术进行对比,对所推荐的语音改进系统的效果进行了评估。数值结果表明,该方法的均方根误差(RMSE)值为0.226779。
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引用次数: 0
Analytical results for classical stable states of one-electron diatomic molecules: beyond Born–Oppenheimer approximation 单电子双原子分子经典稳定态的分析结果:超越玻恩-奥本海默近似
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-025-07252-6
Eugene Oks
<div><p>Classical models of various quantum systems have been successfully used by many authors. Such models provide the physical insight that quantum calculations lack. Classical models of molecules are indispensable in a variety of branches of chemical research. In our previous papers we had presented classical studies of quasimolecules ZeZ<sub>1</sub>, i.e., one-electron diatomic molecules consisting of the two nuclei of charges Z and Z<sub>1</sub> ≥ Z, separated by the distance R, and one electron. In plasmas there can be <i>transient</i> one-electron diatomic <i>quasi</i>-molecules containing nuclei of Z<sub>1</sub> ≥ Z >  > 1, which can form during charge exchange between multicharged ions in plasmas. We had shown analytically that the dependence of the scaled energy on the scaled internuclear distance has three branches, i.e., three “classical energy terms”, what was a counterintuitive result. Moreover, two out of these three classical energy terms cross, what allowed constructing a classical model of charge exchange, thus showing that charge exchange actually is not a purely quantum phenomenon, but has classical roots. In the present paper the focus is not on the <i>transient</i> quasimolecules ZeZ<sub>1</sub>, but rather on <i>stable</i> molecules ZeZ<sub>1</sub>, i.e., pure atomic physics (no plasmas). We perform the classical analytical study of such molecules where, in addition to the conditions of the 3D-equilibrium of the electron, we also take into account the condition of the 1D-equilibrium of the nuclei. The latter condition would be irrelevant in the model, used in the great many works on diatomic molecules, where the nuclei are assumed to have infinite masses, what amounts to the Born–Oppenheimer approximation. Thus, by including the condition of the nuclear equilibrium, we go beyond the Born–Oppenheimer approximation – classically. We show that out of the entire set of 6903 pairs of Z<sub>1</sub> > Z (among the currently known nuclei of charges from 1 to 118), the above equilibrium conditions are met only for 117 pairs, where Z = 1 and Z<sub>1</sub> ranges from 2 to 118. For such stable molecules, we derive analytically parameters of the stable equilibrium orbit of the electron, as well as – for the ground state –the electron total energy and the electron kinetic energy, the latter representing also the ionization energy of these molecules. We provide the corresponding numerical data for the stable ZeZ<sub>1</sub> molecules, where Z = 1 and Z<sub>1</sub> ranges from 2 to 10. We compare our results for the electron total energy in the ground state with quantum calculations in the literature available for only few such molecules, the quantum calculations being performed within the Born–Oppenheimer approximation. The comparison shows a good agreement: the relative difference is just ~ 10%. Such good accuracy of the classical calculations even for the ground state of the molecules ZeZ<sub>1</sub> is a <i>counterintuitive
许多作者已经成功地使用了各种量子系统的经典模型。这些模型提供了量子计算所缺乏的物理洞察力。经典的分子模型在化学研究的各个分支中都是不可或缺的。在我们之前的论文中,我们已经介绍了准分子ZeZ1的经典研究,即由两个电荷为Z和Z1≥Z的原子核组成的单电子双原子分子,它们之间的距离为R,并且有一个电子。在等离子体中,可形成原子核Z1≥Z >; >; 1的瞬态单电子双原子准分子,这些准分子可在等离子体中多电荷离子之间的电荷交换过程中形成。我们已经分析地表明,标度能量对标度核间距离的依赖有三个分支,即三个“经典能量项”,这是一个违反直觉的结果。此外,这三个经典能量项中的两个相互交叉,从而可以构建电荷交换的经典模型,从而表明电荷交换实际上不是纯粹的量子现象,而是有经典根源的。本文的重点不是瞬态准分子ZeZ1,而是稳定分子ZeZ1,即纯原子物理(无等离子体)。我们对这类分子进行经典的分析研究,除了电子的三维平衡条件外,我们还考虑了原子核的一维平衡条件。后一种情况在模型中是不相关的,在大量关于双原子分子的著作中,原子核被假定具有无限质量,相当于玻恩-奥本海默近似。因此,通过包括核平衡条件,我们超越了经典的玻恩-奥本海默近似。我们证明了在6903对Z1 >; Z(在目前已知的电荷为1 ~ 118的原子核中)中,满足上述平衡条件的只有117对,其中Z = 1, Z1范围为2 ~ 118。对于这些稳定的分子,我们推导出了电子稳定平衡轨道的解析参数,以及——对于基态——电子总能量和电子动能,后者也代表这些分子的电离能。我们为稳定的ZeZ1分子提供了相应的数值数据,其中Z = 1, Z1的范围为2 ~ 10。我们将基态电子总能量的计算结果与文献中仅有的几个分子的量子计算结果进行了比较,这些量子计算是在Born-Oppenheimer近似下进行的。结果表明,两者的相对差值仅为10%左右。即使对于分子的基态ZeZ1,经典计算也有如此高的精度,这是一个违反直觉的结果。
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引用次数: 0
Ramsauer–townsend effect in muon scattering by nuclei in relativistic and nonrelativistic modified quantum mechanics 相对论和非相对论修正量子力学中介子散射的拉姆绍尔-汤森德效应
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-28 DOI: 10.1140/epjp/s13360-025-07254-4
A. Armat, S. Mohammad Moosavi Nejad

In the present work, we intend to study the Ramsauer–Townsend effect in the scattering of muon by light and heavy nuclei. This scattering provides a precise probe of nuclear charge and matter distributions, playing a critical role in testing nuclear structure models and refining fundamental interaction theories. For our purpose, we investigate the scattering of muon in the framework of generalized uncertainty principle (GUP). We first derive the modified nonrelativistic and relativistic wave equations due to the minimal length in the GUP framework and then determine the wave function of the incident particle by applying the scattering potential due to the nuclear mean field. In the following, we calculate the transmission and reflection probabilities from the square potential well. Finally, the Ramsauer–Townsend effect will be studied, and it will be shown that some exotic phenomena occur in this framework, which cannot be explained by conventional quantum mechanics.

在本工作中,我们打算研究轻核和重核对μ子的散射中的Ramsauer-Townsend效应。这种散射提供了对原子核电荷和物质分布的精确探测,在检验核结构模型和完善基本相互作用理论方面发挥着关键作用。为此,我们在广义不确定原理(GUP)的框架下研究了μ子的散射。首先在GUP框架下导出了修正的非相对论性和相对论性最小长度波方程,然后利用核平均场散射势确定了入射粒子的波函数。下面,我们从平方势阱中计算透射和反射概率。最后,我们将研究Ramsauer-Townsend效应,并证明在这个框架中会出现一些传统量子力学无法解释的奇异现象。
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引用次数: 0
Nonlinear vibro-impact dynamics induced by clearance and friction in a belt-driven oscillator 带驱动振荡器中由间隙和摩擦引起的非线性振动冲击动力学
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1140/epjp/s13360-025-07205-z
Yuqing Shi, Longfei He, Hailin Wang, Zhilong Wang, Guanwei Luo

A single-degree-of-freedom periodically forced oscillator with coupled clearance and friction nonlinearities is investigated. By analyzing the phase-space conditions governing free sliding, impact, and stick motion, and employing associated Poincaré maps, the dynamics of stick–slip periodic motions are systematically characterized. Particular emphasis is placed on the distribution and transition of periodic motions in the two-parameter space. The occurrence of bursting oscillations in the low-frequency region is revealed and the influence of key structural parameters on stick–slip behavior is examined. The results indicate that stick–slip motion predominantly occurs in regions characterized by low-frequency and small-clearance. Under the induction of grazing bifurcations, the transition toward stick motion is marked by an increase in the number of impacts, a decrease in impact velocity, and a contraction of the frequency band. The transitions between adjacent periodic motions are primarily governed by the synergistic effects of grazing, saddle-node, and sliding bifurcations. Owing to the irreversibility of the transition paths, multi-stability regions emerge, including co-existing states induced by grazing-(saddle-node), grazing-sliding, and doubling-sliding bifurcations. Furthermore, the increase in damping ζ suppresses multi-impact motions, resulting in improved system smoothness and stability along with reduced structural wear; however, it concurrently induces a rise in energy consumption.

研究了具有间隙非线性和摩擦非线性耦合的单自由度周期性受迫振荡器。通过分析控制自由滑动、冲击和粘滞运动的相空间条件,并采用相关的庞加莱图,系统地表征了粘滞滑动周期运动的动力学特性。特别强调了周期运动在双参数空间中的分布和跃迁。揭示了低频区爆破振荡的发生,并分析了关键结构参数对粘滑性能的影响。结果表明,粘滑运动主要发生在低频和小间隙区域。在放牧分岔的诱导下,向棍击运动的过渡表现为撞击次数的增加、撞击速度的降低和频带的收缩。相邻周期运动之间的过渡主要由放牧、鞍节点和滑动分岔的协同效应控制。由于过渡路径的不可逆性,出现了多稳定区域,包括放牧-(鞍-节点)分岔、放牧-滑动和双滑动分岔引起的共存状态。此外,阻尼ζ的增加抑制了多重冲击运动,从而提高了系统的平稳性和稳定性,同时减少了结构磨损;然而,它同时引起了能源消耗的增加。
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引用次数: 0
Effect of electromagnetic induction on the nonlinear excitation in the FitzHugh-Nagumo cardiac model through the cubic-quintic complex Ginzburg-Landau equation 电磁感应对FitzHugh-Nagumo心脏模型非线性激励的影响(通过三次五次复Ginzburg-Landau方程)
IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-27 DOI: 10.1140/epjp/s13360-025-07159-2
Blaise Dzou Tabi, Didier Belobo Belobo, Conrad Bertrand Tabi, Timoléon Crépin Kofané

Electromagnetic induction is crucial for understanding the heart’s electrical and chemical dynamics and detecting functional abnormalities. In this study, we examine a modified FitzHugh-Nagumo (FHN) model incorporating standard diffusion and a feedback gain parameter. Through multiple-scale expansion, we derive a cubic-quintic complex Ginzburg-Landau (CQCGL) equation governing action potential dynamics, and we construct traveling wave solutions using a modified Hirota bilinear method (HBM). The feedback gain markedly affects action potentials: (i) On the left side, it reduces amplitude, period, and depolarization/repolarization duration before the transition region. (ii) On the right side, it produces a quasi-periodic structure at (k_{0}=,0.64), favoring rhythm stabilization. Modulational instability (MI) analysis shows that values of (k_{0}) below or above 0.64 destabilize the system. Numerical simulations closely match the analytical results, confirming the model’s validity. Biologically, these findings highlight electromagnetic induction as a key modulator of cardiac function, influencing action potentials through ion-channel regulation and gap junction coupling, and shaping arrhythmia dynamics.

Graphical abstract

电磁感应对于了解心脏的电和化学动力学以及检测功能异常至关重要。在本研究中,我们研究了一个包含标准扩散和反馈增益参数的修正FitzHugh-Nagumo (FHN)模型。通过多尺度展开,导出了控制动作势动力学的三次五次复Ginzburg-Landau (CQCGL)方程,并利用改进的Hirota双线性方法(HBM)构造了行波解。反馈增益显著影响动作电位:(1)在左侧,它减少了过渡区域前的振幅、周期和去极化/复极化持续时间。(ii)在右侧,它在(k_{0}=,0.64)处产生一个准周期结构,有利于节奏稳定。调制不稳定性(MI)分析表明,(k_{0})值低于或高于0.64会使系统不稳定。数值模拟结果与分析结果吻合较好,验证了模型的有效性。在生物学上,这些发现强调了电磁感应作为心功能的关键调节剂,通过离子通道调节和间隙连接耦合影响动作电位,并形成心律失常动力学。图形摘要
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The European Physical Journal Plus
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