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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
Continuous sample space reducing stochastic process 连续样本空间缩减随机过程
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-23 DOI: 10.1140/epjb/s10051-025-01112-z
Rahul Chhimpa, Avinash Chand Yadav

We propose a simple model for a sample space reducing (SSR) stochastic process, where the dynamical variable denoting the size of the state space is continuous. In general, one can view the model as a constrained multiplicative stochastic process such that the size of the state space cannot be smaller than a visibility parameter (epsilon .) We study the survival time statistics that reveal a subtle difference from the discrete version of the process. A straightforward generalization can explain the noisy SSR process, characterized by a tunable parameter (lambda in [0, 1].) We also examine the statistics of the size of the state space that follows a power-law distributed probability ({mathbb {P}}_{epsilon }(zle epsilon ) sim z^{-alpha },) with a nontrivial value of the exponent as a function of the tunable parameter (alpha = 1+lambda .)

我们提出了一个样本空间缩减(SSR)随机过程的简单模型,其中表示状态空间大小的动态变量是连续的。一般来说,可以将模型视为一个受约束的乘法随机过程,使得状态空间的大小不能小于可见性参数(epsilon .)我们研究了生存时间统计数据,该统计数据揭示了与该过程的离散版本的细微差异。一个简单的概括可以解释以可调参数为特征的有噪声SSR过程(lambda in [0, 1].)我们还研究了状态空间大小的统计数据,该统计数据遵循幂律分布概率({mathbb {P}}_{epsilon }(zle epsilon ) sim z^{-alpha },),其指数是非平凡值作为可调参数的函数 (alpha = 1+lambda .)
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引用次数: 0
Artificial intelligence and machine learning for phases and transitions in the Ising model: an overview 人工智能和机器学习在Ising模型中的阶段和过渡:概述
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-22 DOI: 10.1140/epjb/s10051-025-01105-y
Vasanth Kumar Babu, Rahul Pandit

The Ising spin model has long been the foundational model for studying phase transitions in theoretical statistical physics. In the wake of the explosion of machine-learning (ML) techniques in recent years, the Ising model has been used for ML applications to phase transitions. In this overview, we discuss the applications of ML, via both supervised and unsupervised learning, to the study of phases and transitions in the Ising model. We also discuss transfer learning and provide some examples of its use for neural networks trained on Ising model spin configurations. We conclude with a summary and some future directions.

伊辛自旋模型一直是理论统计物理中研究相变的基础模型。随着近年来机器学习(ML)技术的爆炸式发展,Ising模型已被用于机器学习的相变应用。在这篇综述中,我们讨论了机器学习的应用,通过监督和无监督学习,来研究伊辛模型中的阶段和过渡。我们还讨论了迁移学习,并提供了一些在伊辛模型自旋配置上训练的神经网络的例子。最后,我们进行了总结和一些未来的发展方向。
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引用次数: 0
Enhanced electrochemical performance of Ba-doped CoMoO3 for supercapacitor applications 增强ba掺杂CoMoO3在超级电容器中的电化学性能
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-17 DOI: 10.1140/epjb/s10051-025-01088-w
Haifa A. Alyousef, Shaimaa A. M. Abdelmohsen, Areej Saleh Alqarny, Najla Alotaibi, Younis Ejaz, Muhammad Imran, Hafiz Muhammd Tahir Farid

The rapid progress of various renewable energy conversion methods has driven an increasing demand for efficient energy storage systems. Transition metal oxides are widely utilized as electrodes in supercapacitor devices; nonetheless, however, they suffer from significant drawbacks such as limited surface area and inadequate conductivity. Doping has been recognized as an efficient approach to overcome these limitations. This current research utilized a hydrothermal technique to increase the capacitive characteristics of CoMoO3 by doping with barium ion (Ba2+). Several physical studies were utilized to confirm the crystal structure, enhanced morphology and surface area of Ba-doped CoMoO3, while the physiochemical parameters of doped electrode sample were assessed using several analytical techniques. The examination of energy storage applications included a 3.0 M KOH for performing cyclic voltammetry (CV) studies, galvanic charge–discharge (GCD), and electrochemical impedance spectroscopy (EIS). Ba-doped CoMoO3 nanocomposites exhibit significant Cs values of approximately 1001 F/g with Ed of (20.48 Wh/kg) and Pd of (192 W/kg) showcasing superior charge–discharge cyclic performance. The Ba-doped CoMoO3 electrode material exhibited superior electrochemical properties, rendering it a viable candidate for future supercapacitor devices.

Graphical abstract

各种可再生能源转换方法的快速发展推动了对高效储能系统的需求不断增长。过渡金属氧化物作为电极广泛应用于超级电容器器件中;然而,它们也有明显的缺点,如表面积有限和导电性不足。兴奋剂已被认为是克服这些限制的有效方法。本研究利用水热技术通过掺杂钡离子(Ba2+)来提高CoMoO3的电容特性。利用多项物理研究证实了ba掺杂CoMoO3的晶体结构、增强形貌和表面积,同时利用多种分析技术对掺杂电极样品的理化参数进行了评估。对储能应用的研究包括3.0 M KOH,用于循环伏安法(CV)研究、原电充放电(GCD)和电化学阻抗谱(EIS)。ba掺杂CoMoO3纳米复合材料的Cs值约为1001 F/g, Ed为20.48 Wh/kg, Pd为192 W/kg,具有优异的充放电循环性能。ba掺杂的CoMoO3电极材料表现出优异的电化学性能,使其成为未来超级电容器器件的可行候选材料。图形抽象
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引用次数: 0
Finite population dynamics resolve the central paradox of the Inspection Game 有限种群动态解决了检验博弈的中心悖论
IF 1.7 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER Pub Date : 2025-12-08 DOI: 10.1140/epjb/s10051-025-01104-z
Bianca Y. S. Ishikawa, José F. Fontanari

The Inspection Game is the canonical model for the strategic conflict between law enforcement (inspectors) and citizens (potential criminals). Its classical Mixed-Strategy Nash Equilibrium (MSNE) is afflicted by a paradox: the equilibrium crime rate is independent of both the penalty size (p) and the crime gain (g), undermining the efficacy of deterrence policy. We re-examine this challenge using evolutionary game theory, focusing on the long-term fixation probabilities of strategies in finite, asymmetric population sizes subject to demographic noise. The deterministic limit of our model exhibits stable limit cycles around the MSNE, which coincides with the neutral fixed point of the equilibrium analysis. Crucially, in finite populations, demographic noise drives the system away from this cycle and toward absorbing states. Our results demonstrate that high absolute penalties p are highly effective at suppressing crime by influencing the geometry of the deterministic dynamics, which in turn biases the fixation probability toward the criminal extinction absorbing state, thereby restoring the intuitive role of p. Furthermore, we reveal a U-shaped policy landscape where both high penalties and light penalties (where (p approx g)) are successful suppressors, maximizing criminal risk at intermediate penalty levels. Most critically, we analyze the realistic asymptotic limit of extreme population sizes asymmetry, where inspectors are exceedingly rare. In this limit, the system’s dynamic outcome is entirely decoupled from the citizen payoff parameters p and g, and is instead determined by the initial frequency of crime relative to the deterrence threshold (the ratio of inspection cost to reward for catching a criminal). This highlights that effective crime suppression requires managing the interaction between deterministic dynamics, demographic noise, and initial conditions.

检查博弈是执法人员(检查人员)和公民(潜在罪犯)之间战略冲突的典型模型。其经典的混合策略纳什均衡(MSNE)受到一个悖论的困扰:均衡犯罪率与惩罚规模(p)和犯罪收益(g)都无关,这削弱了威慑政策的有效性。我们使用进化博弈论重新审视这一挑战,重点关注受人口统计学噪声影响的有限、不对称人口规模下策略的长期固定概率。我们模型的确定性极限在MSNE附近表现出稳定的极限环,这与平衡分析的中性不动点一致。至关重要的是,在有限的人口中,人口噪声会使系统远离这个循环,走向吸收状态。我们的研究结果表明,高绝对刑罚p通过影响确定性动力学的几何形状,在抑制犯罪方面非常有效,这反过来又使固定概率倾向于犯罪灭绝吸收状态,从而恢复p的直观作用。此外,我们揭示了一个u型政策景观,其中高刑罚和轻刑罚(其中(p approx g))都是成功的抑制者,在中等刑罚水平上最大化犯罪风险。最关键的是,我们分析了极端人口规模不对称的现实渐近极限,其中检查员非常罕见。在这个极限中,系统的动态结果与公民收益参数p和g完全解耦合,而是由犯罪的初始频率相对于威慑阈值(检查成本与抓获罪犯的奖励之比)决定。这突出表明,有效的犯罪抑制需要管理确定性动态,人口噪声和初始条件之间的相互作用。
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引用次数: 0
期刊
The European Physical Journal B
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