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Certified three-dimensional Ising critical exponents from harmonized bootstrap series and interval Monte Carlo 从协调自举级数和区间蒙特卡罗证明三维伊辛临界指数
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-20 DOI: 10.1140/epjb/s10051-025-01109-8
Seer Kai

Rigorous, machine-checkable intervals for the critical exponents of the three-dimensional Ising universality class are established through a certificate-first methodology. Specifically, the objective is mathematical certainty for β, ν, η, and ω—rigorous enclosures rather than point estimates. This approach unifies conformal bootstrap, Borel-conformal resummation of perturbative and high-temperature series, and interval Monte Carlo under a single acceptance rule with machine-checkable certificates. Bootstrap islands for the leading operators are reconstructed using exact rational functionals, accompanied by feasibility or refutation logs, then mapped to exponents via exact scaling relations. Series expansions are resummed via Borel-conformal maps under explicit Gevrey control, yielding tail bounds and parameter boxes for rigorous enclosures. Monte Carlo outputs are enclosed using interval and ball arithmetic, combined with autocorrelation-aware concentration inequalities and finite-size scaling that incorporates verified crossings and sandwich fits. A topology-aware reconciliation enforces equality on overlaps and prevents cyclic tightening; acceptance requires unanimity across all anchors, subject to veto by any certified refutation. The main result is a theorem-level statement: the exponent set lies in the nonempty intersection of three independently certified boxes. The certified intervals are (upbeta in [text{0.32635,0.32650}]), (upnu in [text{0.62990,0.63005}]), (upeta in [text{0.03620,0.03640}]), and (upomega in [text{0.829,0.833}]) (closed, outward-rounded). These intervals match the sharpest values in the literature while providing solver-independent proofs and reproducible artifacts; they offer a transferable blueprint for other universality classes.

Graphical abstract

通过证书优先的方法建立了三维Ising通用性类的临界指数的严格的、机器可检查的区间。具体来说,目标是β, ν, η和ω的数学确定性-严格的外壳,而不是点估计。该方法将摄动序列和高温序列的保形自举、borel -保形恢复和区间蒙特卡罗在单一接受规则下统一起来,具有机器可检查的证书。使用精确有理函数重建领先算子的引导岛,伴随着可行性或反驳日志,然后通过精确缩放关系映射到指数。在显式Gevrey控制下,通过borel -保角映射恢复级数展开式,为严格的外壳提供尾界和参数框。蒙特卡罗输出使用区间和球算法封闭,结合自相关感知的浓度不等式和有限大小的缩放,包括验证交叉和三明治拟合。拓扑感知的和解强制重叠相等,并防止循环收紧;接受需要所有锚的一致同意,并受到任何经证实的反驳的否决。主要结果是一个定理级别的陈述:指数集位于三个独立认证框的非空交集中。认证间隔为(upbeta in [text{0.32635,0.32650}])、(upnu in [text{0.62990,0.63005}])、(upeta in [text{0.03620,0.03640}])和(upomega in [text{0.829,0.833}])(封闭、向外圆润)。这些区间匹配文献中最尖锐的值,同时提供求解器独立的证明和可重复的工件;它们为其他普遍性类提供了可转移的蓝图。图形摘要
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引用次数: 0
Transition metal (Ti, Zr, Pd, Pt) doping on boron nitride nanotubes for enhanced curcumin binding: A theoretical insight 氮化硼纳米管上过渡金属(Ti, Zr, Pd, Pt)掺杂增强姜黄素结合的理论见解
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-18 DOI: 10.1140/epjb/s10051-025-01107-w
Banchob Wanno, Chatthai Kaewtong, Wandee Rakrai, Chanukorn Tabtimsai, Thanawat Somtua

Detection and adsorption behavior of the curcumin molecule on pristine boron nitride nanotube (BNNT) and transition metal (TM = Ti, Zr, Pd, and Pt)-doped (5,5) armchair BNNT was investigated using a density functional theory (DFT) analysis. Structural, energetic, and electronic properties of pristine and TM-doped BNNT, as well as their complexes with curcumin, were systematically investigated to assess their potential as drug delivery or sensing materials. The computed results display that the adsorption processes for all curcumin/BNNT and curcumin/TM-doped BNNT complexes are exothermic reaction. Two adsorption sites on the curcumin molecule were analyzed: the M site (central carbonyl and hydroxyl groups) and the H site (terminal phenolic OH and methoxy groups). Whereas pristine BNNT shows weak interactions at both sites, TM-doped BNNTs exhibit strong binding, particularly at the M site, in both gas and aqueous phases. A short adsorption distance and substantial charge transfer indicate a strong adsorption ability of the TM-doped BNNTs toward the curcumin molecule. The electronic structures of both pristine BNNT and TM-doped BNNTs are altered upon curcumin adsorption, as evidenced by changes in the energy gap, quantum molecular descriptors, and density of states plots. Therefore, the TM-doped BNNTs serve as a promising material for the delivery and sensing of curcumin molecule.

Graphical abstract

利用密度泛函理论(DFT)研究了姜黄素分子在原始氮化硼纳米管(BNNT)和过渡金属(TM = Ti, Zr, Pd和Pt)掺杂(5,5)纳米管(BNNT)上的检测和吸附行为。系统地研究了原始和tm掺杂的BNNT及其与姜黄素配合物的结构、能量和电子特性,以评估其作为药物递送或传感材料的潜力。计算结果表明,所有姜黄素/BNNT和姜黄素/ tm掺杂BNNT配合物的吸附过程均为放热反应。分析了姜黄素分子上的两个吸附位点:M位点(中心羰基和羟基)和H位点(末端酚羟基和甲氧基)。而原始BNNT在两个位点都表现出弱相互作用,tm掺杂BNNT在气相和水相中都表现出强结合,特别是在M位点。吸附距离短,电荷转移量大,表明掺杂tm的bnnt对姜黄素分子具有较强的吸附能力。在姜黄素的吸附下,原始BNNT和掺杂tm的BNNT的电子结构都发生了改变,这可以从能量间隙、量子分子描述符和态密度图的变化中得到证明。因此,tm掺杂的bnnt作为姜黄素分子传递和传感的一种很有前景的材料。图形抽象
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引用次数: 0
Linear approximations of large deviations: cubic diffusion test 大偏差的线性近似:三次扩散试验
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-14 DOI: 10.1140/epjb/s10051-025-01108-9
Pelerine Tsobgni Nyawo, Hugo Touchette

We propose a method for approximating the large deviation rate function of time-integrated observables of diffusion processes, used in statistical physics to characterize the fluctuations of nonequilibrium systems. The method is based on linearizing the effective process associated with the large deviations of the process and observable considered, and is tested for a simple one-dimensional nonlinear diffusion model involving a cubic drift. The results show that the linear approximation compares well with the exact rate function, especially in the large fluctuation regime, and that its accuracy is related to the way the linearized process localizes in space. Possible extensions and applications to more complex diffusion models are proposed for future work.

我们提出了一种近似扩散过程的时间积分观测值的大偏差率函数的方法,该方法在统计物理中用于表征非平衡系统的波动。该方法是基于线性化与过程和观测值的大偏差相关的有效过程,并对涉及三次漂移的简单一维非线性扩散模型进行了测试。结果表明,线性近似与精确的速率函数比较好,特别是在大波动区,其精度与线性化过程在空间上的局部化方式有关。为今后的工作提出了可能的扩展和应用到更复杂的扩散模型。
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引用次数: 0
Exceptional low-temperature thermoelectric performance and spintronic properties of quaternary Heusler alloys LiXFeSb (X = Ba, Sr) 四元Heusler合金LiXFeSb (X = Ba, Sr)优异的低温热电性能和自旋电子性能
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-10 DOI: 10.1140/epjb/s10051-025-01113-y
Abhinav Nag, Anuja Kumari, Vaneet Kumar, Jagdish Kumar

The exploration of novel materials with half-metallic characteristics is essential for the advancement of both spintronic and thermoelectric technologies. In this study, we employ first-principles density functional theory to investigate the structural, electronic, magnetic, and thermoelectric properties of quaternary Heusler alloys LiXFeSb (X = Ba, Sr). Our calculations reveal that both the compounds crystallize in a stable type-I phase with F-43 m symmetry and exhibit ferromagnetic ground states, with total magnetic moments of 2.00 μB for LiBaFeSb and 1.99 μB for LiSrFeSb. The spin-resolved band structures confirm their half-metallic nature, with bandgaps of 0.47 eV (LiBaFeSb) and 0.2 eV (LiSrFeSb) in the up-spin channel and metallic character in the down-spin channel, resulting in 100% spin polarization. Importantly, thermoelectric analysis using the semi-classical Boltzmann transport theory and the Slack model shows that LiBaFeSb achieves a remarkable ZT ≈ 1.0 at 100 K in the up-spin channel, a rare feature for Heusler systems in the cryogenic regime. LiSrFeSb, on the other hand, exhibits ZT ≈ 0.63 at 800 K, demonstrating its potential at elevated temperatures. These results highlight the exceptional low-temperature thermoelectric efficiency and full spin polarization of LiBaFeSb, positioning the LiXFeSb family as a promising platform for multifunctional spin-caloritronic applications.

Graphical abstract

探索具有半金属特性的新型材料对于自旋电子和热电技术的发展至关重要。在本研究中,我们采用第一性原理密度泛函理论研究了四元Heusler合金LiXFeSb (X = Ba, Sr)的结构、电子、磁性和热电性能。结果表明,这两种化合物均以F-43 m对称的i型相结晶,呈现铁磁基态,LiBaFeSb的总磁矩为2.00 μB, LiSrFeSb的总磁矩为1.99 μB。自旋分辨能带结构证实了其半金属性质,上自旋通道的带隙为0.47 eV (LiBaFeSb)和0.2 eV (LiSrFeSb),下自旋通道的带隙为金属性质,产生了100%的自旋极化。重要的是,使用半经典玻尔兹曼输运理论和Slack模型的热电分析表明,LiBaFeSb在100 K时在上自旋通道中达到了显著的ZT≈1.0,这是Heusler系统在低温状态下罕见的特征。另一方面,LiSrFeSb在800 K时表现出ZT≈0.63,表明其在高温下的潜力。这些结果突出了LiBaFeSb卓越的低温热电效率和全自旋极化,将LiXFeSb家族定位为多功能自旋热电子应用的有前途的平台。图形抽象
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引用次数: 0
Modification of PCBM electron transport layer (ETL) by potassium iodide in inverted type perovskite solar cells 倒置型钙钛矿太阳能电池中PCBM电子传递层(ETL)的碘化钾修饰
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-07 DOI: 10.1140/epjb/s10051-025-01114-x
Pelin Kavak

Over the past decade, perovskite solar cells have garnered significant attention owing to their exceptional optoelectronic properties. The performance of perovskite solar cells is highly dependent on the efficient operation of both hole transport layers and electron transport layers, making the selection of cost-effective and compatible charge transport materials critically important. Phenyl-C61-butyric acid methyl ester (PCBM) is widely utilized as an electron transport layer (ETL) in perovskite solar cells; however, several limitations persist, including low electron mobility, challenges in the deposition of uniform and high-quality films, and considerable interfacial recombination losses. In this study, potassium iodide (KI) doping of PCBM was investigated to enhance the photovoltaic parameters of perovskite solar cells. The incorporation of KI was found to enhance photovoltaic performance by optimizing surface morphology. Characterization techniques such as space charge limited current (SCLC) measurements confirmed a decrease in trap-state density within the perovskite layer, thereby mitigating charge recombination and contributing to improved device efficiency.

Graphical abstract

Device fabrication under ambient air

在过去的十年中,钙钛矿太阳能电池由于其特殊的光电性能而引起了人们的极大关注。钙钛矿太阳能电池的性能高度依赖于空穴传输层和电子传输层的有效运行,因此选择具有成本效益且兼容的电荷传输材料至关重要。苯基- c61 -丁酸甲酯(PCBM)作为电子传输层(ETL)广泛应用于钙钛矿太阳能电池中;然而,一些限制仍然存在,包括低电子迁移率,在均匀和高质量薄膜的沉积方面的挑战,以及相当大的界面复合损失。本研究通过在PCBM中掺杂碘化钾(KI)来提高钙钛矿太阳能电池的光伏参数。发现KI的加入通过优化表面形态来提高光伏性能。表征技术,如空间电荷限制电流(SCLC)测量证实了钙钛矿层内陷阱态密度的降低,从而减轻了电荷重组并有助于提高器件效率。图形文摘:环境空气下的器件制造
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引用次数: 0
Superconducting flux pumping for the high-field HTS magnet: the state of the art 高场高温超导磁体的超导磁通泵送:最新研究进展
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-07 DOI: 10.1140/epjb/s10051-025-01092-0
Gengyao Li, Chao Li, Ying Xin, Bin Li

High-temperature superconducting (HTS) magnets are promising in high-field applications. However, due to inevitable joint resistance, HTS magnets still face challenges in maintaining a persistent current in their closed-loop operation. HTS flux pumps are devices that can charge closed HTS magnets wirelessly in the way of electromagnetic coupling. Thus, high-capacity DC power supplies and thick resistive current leads, which are generally used for charging superconducting magnets, can be replaced by HTS flux pumps. Hence, on the one hand, the extra heat load caused by the resistive current leads are avoided, improving the safety operation of HTS magnets. On the other hand, the cost of charging HTS magnets can be reduced. In this review, published works about HTS flux pumps and dynamic resistance are summarized. These studies have laid a foundation for the follow-up researches of flux pumps applied in high-field HTS magnets.

Graphical abstract

高温超导磁体在高场应用中具有广阔的应用前景。然而,由于不可避免的联合电阻,高温超导磁体在其闭环运行中仍然面临着保持持续电流的挑战。高温超导磁通泵是以电磁耦合的方式对封闭的高温超导磁体进行无线充电的装置。因此,通常用于超导磁体充电的大容量直流电源和厚阻性电流引线可以被高温超导磁通泵取代。因此,一方面避免了电阻电流引线带来的额外热负荷,提高了高温超导磁体的安全运行。另一方面,可以降低高温超导磁体的充电成本。本文对高温超导磁通泵和动态电阻的研究进展进行了综述。这些研究为后续研究应用于高场高温超导磁体的磁通泵奠定了基础。图形抽象
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引用次数: 0
Effect of anisotropy on the overall fluctuation instability of the interface morphology of deep cellular crystal 各向异性对深层胞状晶体界面形态整体波动不稳定性的影响
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-07 DOI: 10.1140/epjb/s10051-025-01110-1
Kai Chen, Han Jiang

In this paper, we constructed a mathematical model of deep cellular crystal growth under anisotropic surface tension and anisotropic interface kinetics during directional solidification. Using the multivariate expansion method and the matched asymptotic expansion method, the dispersion relation of the rate of change of the perturbation amplitude at the deep cellular crystal interface and the quantization condition of the interface morphology are deduced, analyzed the stability of the growth of deep cellular crystal under the influence of anisotropic surface tension and anisotropic interface kinetics in the directional solidification, and revealed the influence of anisotropic parameters on the size of the unstable region. The results show that in the directional solidification considering anisotropic surface tension and anisotropic interface kinetics, there are two overall instability mechanisms for the morphology of deep cellular crystal growth interfaces: global oscillatory (GTW) instability and low-frequency (LF) instability. The stability analysis shows that the anisotropic surface tension and anisotropic interface kinetics have a significant effect on the global oscillatory instability mechanism in the low-order approximation. As the anisotropy parameter increases, the stable region of global oscillatory instability gradually expands. Relatively, the influence of the anisotropic interface kinetics parameter on the overall fluctuation instability of the interface morphology is more remarkable than the anisotropic surface tension parameter.

Graphical abstracts

These two images respectively depict the curves of the zeroth-order and first-order approximation GTW-S neutral modes under the influence of anisotropic surface tension parameters and anisotropic interface kinetics parameters. Comparison reveals that the critical stability parameter under the first-order approximation is smaller than that under the zeroth-order approximation. In both cases, the (n = 0) mode represents the most unstable state.

These two images display the curves of the first-order approximation GTW-S neutral modes for (n = 0). With increasing anisotropic parameters, the stable region associated with the overall oscillatory instability of highly oscillatory dendritic structures expands. The influence of the anisotropic interface kinetics parameter on the overall fluctuation instability of the interface morphology is more remarkable than the anisotropic surface tension parameter.

本文建立了定向凝固过程中各向异性表面张力和各向异性界面动力学作用下深层胞状晶体生长的数学模型。采用多元展开法和匹配渐近展开法,推导了深层胞状晶体界面处微扰振幅变化率的色散关系和界面形态的量化条件,分析了定向凝固过程中各向异性表面张力和各向异性界面动力学影响下深层胞状晶体生长的稳定性。揭示了各向异性参数对不稳定区大小的影响。结果表明:在考虑各向异性表面张力和各向异性界面动力学的定向凝固过程中,深层胞状晶体生长界面形态存在两种总体不稳定机制:全局振荡(GTW)不稳定和低频(LF)不稳定。稳定性分析表明,在低阶近似下,各向异性表面张力和各向异性界面动力学对整体振荡不稳定机制有显著影响。随着各向异性参数的增大,全球振荡不稳定的稳定区域逐渐扩大。相对而言,各向异性界面动力学参数对界面形貌整体波动不稳定性的影响比各向异性表面张力参数更为显著。这两幅图分别描绘了各向异性表面张力参数和各向异性界面动力学参数影响下零阶和一阶近似GTW-S中性模式的曲线。比较表明,一阶近似下的临界稳定性参数小于零阶近似下的临界稳定性参数。在这两种情况下,(n = 0)模式代表最不稳定的状态。这两幅图显示了(n = 0)的一阶近似GTW-S中性模式曲线。随着各向异性参数的增加,与高振荡枝晶结构整体振荡不稳定性相关的稳定区域扩大。各向异性界面动力学参数对界面形貌整体波动不稳定性的影响比各向异性表面张力参数更显著。
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引用次数: 0
Quantum chemical exploration of piperazinium nitrate: molecular stability, reactivity descriptors, electronic excitations, intermolecular interactions, and NLO activity 硝酸哌嗪的量子化学探索:分子稳定性、反应性描述子、电子激发、分子间相互作用和NLO活性
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2026-01-07 DOI: 10.1140/epjb/s10051-025-01106-x
V. Vijayalakshmi, G. Suresh, S. Selvakumari, V. Ragavendran, J. Janczak, N. Kanagathara

Single crystals of Piperazinium Nitrate were obtained by slow evaporation, crystallizing in a monoclinic system (P21/c), and stabilized by strong N–H···O hydrogen bonds in a three-dimensional network. structural integrity of the grown crystal was confirmed by X-ray diffraction (XRD) analysis. Experimental characterization using FT–IR and FT–Raman spectroscopy confirmed the presence of functional groups and characteristic vibrational modes corresponding to the molecular structure. Hirshfeld surface (HS) analysis and 2D fingerprint plots quantified the intermolecular contacts, highlighting the dominant role of hydrogen bonding in crystal packing and structural stability. HS analysis revealed that O···H interactions contribute 54.9% of the overall intermolecular contacts, confirming the dominance of hydrogen bonding in the crystal packing. Density Functional Theory (DFT) calculations at the B3LYP/6-311G (d, p) level were performed to optimize the molecular geometry and investigate the electronic structure, revealing a significant HOMO–LUMO energy gap of 5.391 eV, denoting the stability of molecule and low chemical reactivity. Time-Dependent DFT (TD-DFT) simulations of the UV–Visible (UV–Vis) spectrum provided insights into the electronic excitation behavior. The absorption peak at 255.76 nm, it exhibits the π → π* and n → π* electronic transitions in gas phase. Natural Bond Orbital (NBO) analysis indicated a strong intramolecular hyperconjugative interaction between the lone pair on LP(3) O2 and antibonding orbital of the N1–O4 bond, contributing 144.41 kJ mol−1 to molecular stabilization. Fukui function analysis identified the reactive sites susceptible to electrophilic and nucleophilic attack. Electron Localization Function (ELF) and Localized Orbital Locator (LOL) maps illustrated regions of electron localization and delocalization. Non-Covalent Interaction (NCI) analysis based on Reduced Density Gradient (RDG) plots revealed the presence of weak van der Waals forces and strong hydrogen bonding interactions. The calculated first-order hyperpolarizability (29.244 × 10⁻31 esu), which is 7.8 times greater than that of urea, and the calculated first-order hyperpolarizability confirms the strong NLO response and highlights the potential of the compound for nonlinear optical (NLO) and photonic applications.

Graphical abstract

通过缓慢蒸发,在单斜体系(P21/c)中结晶,得到硝酸哌嗪单晶,并通过强N-H···O氢键在三维网络中稳定。通过x射线衍射(XRD)分析证实了生长晶体的结构完整性。利用傅里叶变换红外光谱和傅里叶变换拉曼光谱的实验表征证实了与分子结构相对应的官能团和特征振动模式的存在。Hirshfeld表面(HS)分析和二维指纹图谱量化了分子间接触,突出了氢键在晶体堆积和结构稳定性中的主导作用。HS分析显示,O···H相互作用占整个分子间接触的54.9%,证实了氢键在晶体填充中的主导地位。在B3LYP/6-311G (d, p)水平上进行密度泛函理论(DFT)计算以优化分子几何结构并研究其电子结构,结果表明HOMO-LUMO能隙为5.391 eV,表明分子稳定且化学反应活性低。紫外-可见(UV-Vis)光谱的时间相关DFT (TD-DFT)模拟提供了对电子激发行为的见解。吸收峰在255.76 nm处,表现出π→π*和n→π*的气相电子跃迁。天然键轨道(NBO)分析表明,LP(3) O2上的孤对与N1-O4键的反键轨道之间存在很强的分子内超共轭相互作用,对分子稳定性的贡献为144.41 kJ mol−1。福井功能分析确定了易受亲电和亲核攻击的反应位点。电子局域化函数(ELF)和局域化轨道定位器(LOL)图显示了电子局域化和非局域化的区域。基于还原密度梯度(RDG)图的非共价相互作用(NCI)分析显示存在弱范德华力和强氢键相互作用。计算出的一阶超极化率(29.244 × 10⁻31 esu)是尿素的7.8倍,证实了该化合物对非线性光(NLO)的强烈响应,并强调了该化合物在非线性光学(NLO)和光子应用方面的潜力。图形抽象
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引用次数: 0
Multiple crossover in the decay of metastable volume fraction of a Blume–Capel ferromagnetic needle Blume-Capel铁磁针亚稳体积分数衰减中的多重交叉
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-26 DOI: 10.1140/epjb/s10051-025-01115-w
Ishita Tikader, Muktish Acharyya

The transient behaviours of a Blume–Capel ferromagnetic needle have been studied extensively by Monte-Carlo simulation. The needle has an elongated length in one direction compared to its cross-section. In the context of transient behaviour, we have captured the decay of the metastable state and the magnetic relaxation behaviours in our study. The dependence of metastable behaviour on anisotropy (single site) has been studied. Interestingly, we have observed multiple (different values of n in different time domains) crossover in the decay of metastable volume fraction (obeying Avrami’s law (beta sim textrm{exp}(-Kt^n))). We have identified the crossover time, and the values of n are estimated precisely. The mean (magnetic) reversal time has been studied as a function of anisotropy. It is observed to be almost independent of anisotropy for its negative value; however, it is found to decrease exponentially with positive anisotropy. The exponential relaxation behaviour (in the corresponding paramagnetic phase) is observed. The relaxation time was found to depend on the strength of anisotropy.

采用蒙特卡罗模拟方法对Blume-Capel铁磁针的瞬态行为进行了广泛的研究。相对于它的横截面,针在一个方向上有拉长的长度。在瞬态行为的背景下,我们在研究中捕获了亚稳态的衰变和磁弛豫行为。研究了亚稳行为与各向异性(单位点)的关系。有趣的是,我们在亚稳体积分数的衰减中观察到多次(不同时域的不同n值)交叉(符合Avrami定律(beta sim textrm{exp}(-Kt^n)))。我们已经确定了交叉时间,并精确地估计了n的值。研究了平均(磁)反转时间作为各向异性的函数。观察到它的负值几乎与各向异性无关;然而,发现正各向异性呈指数下降。指数弛豫行为(在相应的顺磁相)被观察到。发现弛豫时间依赖于各向异性的强度。
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引用次数: 0
Dynamical quantum phase transitions in the Lipkin–Meshkov–Glick model with longitudinal and transverse magnetic fields 纵向和横向磁场下Lipkin-Meshkov-Glick模型的动态量子相变
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-24 DOI: 10.1140/epjb/s10051-025-01111-0
D. S. Lohr-Robles, M. Grether, E. López-Moreno, P. O. Hess

The dynamical properties of the Lipkin–Meshkov–Glick model with longitudinal and transverse fields are studied by considering quantum quenches. The model describes a many-body quantum system with long-range interactions. A semiclassical analysis is performed to obtain the critical points of quantum phase transitions. These critical points consist in the static separatrix, which is found by analyzing the stability structure of the semiclassical potential and is useful in the identification of ground state and excited states quantum phase transitions, and in the dynamical separatrix, which depends on initial conditions and is found by studying the classical equations of motion for the Hamiltonian. The static and dynamical separatrices divide the parameter space in regions of different dynamical behavior, and it is found that both separatrices play an important role in the determination of the occurrences of the dynamical quantum phase transitions.

考虑量子猝灭,研究了纵向场和横向场下Lipkin-Meshkov-Glick模型的动力学性质。该模型描述了具有远程相互作用的多体量子系统。采用半经典分析方法得到了量子相变的临界点。这些临界点存在于静态分离矩阵和动态分离矩阵中。静态分离矩阵是通过分析半经典势的稳定性结构得到的,可用于基态和激发态量子相变的识别。动态分离矩阵依赖于初始条件,是通过研究经典哈密顿运动方程得到的。静态和动态分离在不同动力学行为的区域划分了参数空间,并发现这两种分离在决定动态量子相变的发生方面起着重要作用。
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引用次数: 0
期刊
The European Physical Journal B
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