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On the existence and stability of traversable wormhole solutions with novel shapefunctions in the framework of F (R ,Lm) gravity 论 F (R ,Lm) 引力框架下具有新形状函数的可穿越虫洞解的存在性和稳定性
Pub Date : 2024-03-19 DOI: 10.1088/1572-9494/ad3544
Sourav Chaudhary, Jitendra Kumar, S. Maurya, Sweeti Kiroriwal, Abdul Aziz
In this work, we have explored wormhole solutions in F (R ,Lm) gravity by assuming Morris-Thorne wormhole metric and F (R ,Lm) = R 2 + (1 + γR )Lm where γ is free model parameter. We determined the wormhole solutions by utilizing two newly developed shape functions (SF) that satisfy all basic conditions for a wormhole’s physical validity. We also observe that the null energy condition (NEC) behaves negatively. Finally, for both models, we use the volume integral quantifier (V IQ ) and Tolman-Oppenheimer-Volkoff (TOV) equation to determine how much exotic matter is needed near the wormhole throat and the stability of the wormhole. The extensive detailed discussions of the matter components have been done via graphical analysis. The obtained wormhole (WH) geometries meet the physically acceptable conditions for a stable wormhole..
在这项工作中,我们通过假设莫里斯-索恩虫洞度量和 F (R ,Lm) = R 2 + (1 + γR )Lm(其中 γ 是自由模型参数),探索了 F (R ,Lm) 引力中的虫洞解决方案。我们利用两个新开发的形状函数(SF)确定了虫洞解决方案,这两个函数满足虫洞物理有效性的所有基本条件。我们还观察到,空能量条件(NEC)表现为负值。最后,对于这两个模型,我们使用体积积分量子(V IQ)和托尔曼-奥本海默-沃尔科夫(Tolman-Oppenheimer-Volkoff,TOV)方程来确定虫洞咽喉附近需要多少奇异物质以及虫洞的稳定性。对物质成分的大量详细讨论是通过图形分析完成的。得到的虫洞(WH)几何形状符合稳定虫洞的物理可接受条件。
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引用次数: 0
Higher dimensional integrable deformations of the classical Boussinesq-Burgers system 经典 Boussinesq-Burgers 系统的高维可积分变形
Pub Date : 2024-03-19 DOI: 10.1088/1572-9494/ad3546
Xiaoyu Cheng, Qing Huang
In this paper, (1+1)-dimensional classical Boussinesq-Burgers (CBB) system is extended to a (4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm. The Lax integrability, symmetry integrability and a large number of reduced systems of the new higher dimensional CBB system are given. What's more, for illustration, we study a (1+1)-dimensional reduced system of higher dimensional system and its exact solution is constructed by using Lie symmetry analysis and the power series method.
本文利用(1+1)维经典布辛斯-伯格斯(CBB)系统的守恒定律和变形算法,将其扩展为(4+1)维CBB系统。给出了新的高维 CBB 系统的拉克斯可积分性、对称可积分性和大量还原系统。此外,为了说明问题,我们还研究了高维系统的 (1+1)-dimensional 简化系统,并利用李对称分析和幂级数法构建了其精确解。
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引用次数: 0
Diffusion of nanochannel-confined knot along a tensioned polymer 纳米通道约束结沿拉伸聚合物扩散
Pub Date : 2024-03-18 DOI: 10.1088/1572-9494/ad34c3
Guobing Cai, Yong Li, Yuyu Feng, Zhouhui Deng, Yanhui Liu
The knots frequently occur in biopolymer and their diffusion plays an active role in the gene regulation. To deeply understand this effect, in this work, Langevin dynamics simulations were carried out to detect the diffusion behaviors of a knot along a tensioned polymer in different spatial constraints. The polymer accommodating a knot was tethered to two macrospheres to block the unravelling of the knot. As a result, the curves for the diffusion coefficients of the knot with different bending stiffness as a function of the tension in different spatial constraints were obtained. In the space without constraints or with weak constraints, the corresponding curves for the knot with relatively large bending stiffness exhibited two turnover behaviours. On the contrary, for the knot with relatively small bending stiffness, the diffusion coefficients were monotonically reduced with increasing tension. However, in a space with strong constraints, all the curves showed one turnover behaviour regardless of the bending stiffness. The turnover behaviours divided the curves into different regimes, and the dominant diffusion mechanisms in the regimes, namely, knot-region breathing, self-reptation, and internal friction, were clearly identified. The effective friction coefficients ξ of the knots with 31, 41, 51 and 52 types as a function of the knot size N at a fixed tension were well fitted by the relationξ∝N. The effective friction coefficients of the knots at relatively large tension f>3 sharply increased with the knot complexity, which is not dependent on the spatial constraints. By contrast, the values of these coefficients at relatively small tension f≤3 were remarkably dependent on the spatial constraints. Our work provides not only valuable simulation results to assist the understanding of the diffusion of DNA knot, but also highlights the single-molecule design for the manipulation of DNA knots in future.
结在生物聚合物中经常出现,其扩散在基因调控中发挥着积极作用。为了深入理解这一效应,本研究通过朗格文动力学模拟来检测结在不同空间约束条件下沿张力聚合物的扩散行为。容纳绳结的聚合物被拴在两个大球上,以阻止绳结的解开。结果得到了在不同空间约束条件下,不同弯曲刚度的结的扩散系数随张力变化的曲线。在无约束或弱约束的空间中,弯曲刚度相对较大的绳结的相应曲线表现出两种周转行为。相反,对于弯曲刚度相对较小的绳结,扩散系数随着张力的增加而单调降低。然而,在具有较强约束的空间中,无论弯曲刚度如何,所有曲线都表现出一种转换行为。翻转行为将曲线划分为不同的区段,并明确了区段中的主要扩散机制,即结区呼吸、自回复和内摩擦。在固定张力下,31、41、51 和 52 型绳结的有效摩擦系数ξ与绳结尺寸 N 的函数关系ξ∝N 得到了很好的拟合。在相对较大的张力 f>3 下,绳结的有效摩擦系数随着绳结复杂程度的增加而急剧增加,这与空间限制无关。相比之下,在相对较小的张力 f≤3 时,这些系数的值明显取决于空间约束条件。我们的工作不仅为理解 DNA 结的扩散提供了有价值的模拟结果,还为今后操纵 DNA 结的单分子设计提供了亮点。
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引用次数: 0
Investigating the impact of the universal function of nuclear proximity potential in the heavy-ion fusion cross sections 研究重离子聚变截面中核临近势普遍函数的影响
Pub Date : 2024-03-15 DOI: 10.1088/1572-9494/ad3437
R. Gharaei, E. Sarvari
The fusion barriers and cross sections of 15 colliding systems with $320leq Z_1Z_2 leq 1512$ are investigated in detail to understand the influence of the universal function of proximity potential formalism in the heavy-ion fusion mechanism. To realize this goal, we select three versions of the phenomenological proximity potentials, including Prox. 77, Zhang 2013, and Guo 2013, to calculate the nucleus-nucleus potential. The experimental fusion cross sections for the selected reactions are analyzed via the standard coupled-channels (CC) calculations, including couplings to the low-lying $2^+$ and $3^-$ states in target and projectile. The calculated results show the universal functions of the Guo 2013 and Prox. 77 models provide the lowest and highest fusion barriers, respectively. In addition, it is found that the height of fusion barriers is enhanced by increasing the mass number of the projectile from light to heavy ones. The highest sensitivity to the mass number of the projectile belongs to the results of Prox. 77. A discussion is also presented about the influence of universal function on the radial behavior of the interaction potential in the allowed region for overlapping configurations. Our results reveal that the best fit to the experimental data of the fusion cross sections for the reactions involving light and medium nuclei is obtained using the universal function of the Zhang 2013 model. For the heavier systems, the results of the Guo 2013 model at sub-barrier energies provide a good description of the available data.
我们详细研究了15个320leq Z_1Z_2 leq 1512$对撞系统的核聚变势垒和截面,以理解接近势形式主义的普遍函数在重离子核聚变机制中的影响。为了实现这一目标,我们选择了三个版本的现象学接近势,包括 Prox.通过标准耦合通道(CC)计算分析了所选反应的实验聚变截面,包括与靶和射弹中低洼的2^+$和3^-$态的耦合。计算结果表明,Guo 2013 和 Prox.此外,研究还发现,当抛射体的质量数从轻到重增加时,聚变势垒的高度也会增加。Prox. 77 的结果对弹丸质量数的敏感度最高。我们还讨论了通用函数对重叠构型允许区域内相互作用势径向行为的影响。我们的研究结果表明,对于涉及轻核和中核的反应,使用 Zhang 2013 模型的通用函数最符合聚变截面的实验数据。对于较重的系统,郭 2013 模型在亚边界能量下的结果很好地描述了现有数据。
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引用次数: 0
Dynamics of $2times2$ matrix non-Hermitian quantum systems on Bloch sphere 布洛赫球上2美元/次2美元矩阵非赫米提量子系统的动力学
Pub Date : 2024-03-11 DOI: 10.1088/1572-9494/ad3223
Li-Bin Fu
By casting evolution to Bloch sphere, the dynamics of $2times2$ matrix non-Hermitian systems is investigated in detail. It shows that there are four kinds of dynamical mode for such systems. The different modes are classified by different kinds of fixed points, namely, the elliptic point, spiral point, critical node, and degenerate point. The Hermitian systems and the unbroken $mathcal{PT}$ non-Hermitian cases belong to the category with elliptic points. The degenerate point just corresponds to the systems with exceptional point (EP). The topological properties of the fixed point are also discussed. It is interesting that the topological charge for degenerate point is $2$ while the others are $1$.
通过将演化投射到布洛赫球,详细研究了2times2$ 矩阵非赫米提系统的动力学。研究表明,此类系统存在四种动力学模式。不同的模式按不同的定点分类,即椭圆点、螺旋点、临界点和退化点。赫米特系统和未断裂的 $mathcal{PT}$ 非赫米特情况属于有椭圆点的类别。退化点只对应于有例外点(EP)的系统。我们还讨论了定点的拓扑性质。有趣的是,退化点的拓扑电荷为 2 美元,而其他点的拓扑电荷为 1 美元。
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引用次数: 0
Exploring Dielectric Phenomena in Sulflower-Like Nanostructure via Monte Carlo technique 通过蒙特卡洛技术探索向日葵状纳米结构中的介电现象
Pub Date : 2024-03-11 DOI: 10.1088/1572-9494/ad3221
N. Saber, Z. Fadil, Hussein Sabah, A. Mhirech, B. Kabouchi, L. Bahmad, C. Raorane, S. S. Sana, Hassan Fouad, Mohamed Hashem
This research focuses on the electric behavior of a mixed ferrielectric Sunflower-like nanostructure. The structure includes a Core with spin S_i^Z-1 atoms and a Shell with spin σ_j^Z-5/2 atoms. The Blume-Capel model and Monte Carlo technique (MCt) with the Metropolis algorithm are employed. Diagrams are established for absolute zero, investigating stable spin configurations correlated with various physical parameters. The MCt method explores phase transition behavior and electric hysteresis cycles under different physical parameters.
这项研究的重点是铁电混合向日葵状纳米结构的电学行为。该结构包括一个具有自旋 S_i^Z-1 原子的 Core 和一个具有自旋 σ_j^Z-5/2 原子的 Shell。研究采用了布卢姆-卡佩尔模型和使用 Metropolis 算法的蒙特卡罗技术(MCt)。建立了绝对零度图,研究了与各种物理参数相关的稳定自旋构型。MCt 方法探索了不同物理参数下的相变行为和电滞后周期。
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引用次数: 0
Theoretical study of the nonlinear force loading control in single molecule stretching experiments 单分子拉伸实验中的非线性力加载控制理论研究
Pub Date : 2024-03-11 DOI: 10.1088/1572-9494/ad3226
Xingyu Qi, Zilong Guo, Shimin Le, Hu Chen
Force spectrum measurements with constant loading rate are widely used in single molecule manipulation experiments to study the mechanical stability and force response of biomolecules. Force-dependent transition rates can be obtained from the transition force distribution, but it is limited to the force range with non-zero force distribution. Though constant loading rate control can be realized in magnetic tweezers, but the loading rate range is limited due to the slow movement of permanent magnets. Non-linear exponential and exponential squared force loading functions are more feasible in magnetic tweezers, while there is no theoretical result available for these two kinds of non-linear force loading functions. In this study we solved the unfolding process of a protein following Bell's model under nonlinear exponential and exponential squared force loading functions, which offer a broader range of unfolding force distribution compared to the traditional constant loading rate experiments. Furthermore, we derived two force loading functions which can produce uniform unfolding force distribution. This research contributes fundamental equations for the analysis of experimental data obtained through single molecule manipulation under nonlinear force loading controls, and pave the way of using nonlinear force control in magnetic tweezers experiment.
恒定加载速率下的力谱测量被广泛应用于单分子操作实验,以研究生物分子的机械稳定性和力响应。与力相关的转换率可从转换力分布中获得,但仅限于力分布不为零的力范围。磁镊虽然可以实现恒定加载速率控制,但由于永磁体运动缓慢,加载速率范围有限。非线性指数力加载函数和指数平方力加载函数在磁镊中更为可行,但这两种非线性力加载函数目前尚无理论结果。在本研究中,我们按照贝尔模型求解了非线性指数和指数平方力加载函数下的蛋白质展开过程,与传统的恒定加载速率实验相比,这两种加载函数的展开力分布范围更广。此外,我们还推导出了两种能产生均匀展开力分布的力加载函数。这项研究为分析非线性力加载控制下的单分子操作实验数据提供了基本方程,为在磁镊实验中使用非线性力控制铺平了道路。
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引用次数: 0
The Stokes-Einstein-Debye relation in ortho-terphenyl liquid 邻位三联苯液体中的斯托克斯-爱因斯坦-德贝关系
Pub Date : 2024-03-11 DOI: 10.1088/1572-9494/ad321f
Gan Ren
The Stokes-Einstein-Debye (SED) relation is proposed to be breakdown in supercooled liquids by many studies. However, the conclusions are usually drawn by testing some variants of the SED relation rather than its original formula. In this work, the rationality of the SED relation and its variants is examined by performing molecular dynamics simulations with the Lewis-Wahnstrom model of ortho-terphenyl (OTP). The results indicate the original SED relation is valid for OTP but the three variants are all breakdown. The inconsistency between SED relation and its variants is analyzed from the heterogeneous dynamics, the adopted assumptions and approximations as well as the interactions among molecules. Therefore, care should be taken when employing the variants to judge the validity of the SED relation in supercooled liquids.
许多研究都提出了斯托克斯-爱因斯坦-德贝(SED)关系在过冷液体中的分解。然而,这些结论通常是通过测试 SED 关系的一些变体而不是其原始公式得出的。在这项工作中,通过对原三联苯(OTP)的 Lewis-Wahnstrom 模型进行分子动力学模拟,检验了 SED 关系及其变体的合理性。结果表明,原始 SED 关系对 OTP 是有效的,但三种变体都是失效的。SED 关系及其变体之间的不一致是从异质动力学、所采用的假设和近似以及分子间的相互作用等方面进行分析的。因此,在使用这些变体来判断 SED 关系在过冷液体中的有效性时应小心谨慎。
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引用次数: 0
The multi-channel rumor propagation model considering individual game behavior and time delay 考虑个体游戏行为和时间延迟的多渠道谣言传播模型
Pub Date : 2024-03-11 DOI: 10.1088/1572-9494/ad3222
Yafang Dong, Liang’an Huo, Xiaoxiao Xie, Ming Li
The rapid development of the Internet has accelerated the spread of rumors, posing challenges to social cohesion and stability. To address this, a multi-channel rumor propagation model incorporating individual game behavior and time delay is proposed. It depicts individuals strategically choosing propagation channels in the rumor spread process, capturing real-world intricacies more faithfully. Specifically, the model allowing spreaders to choose between text and video information base channels. Strategy adoption hinges on benefits versus costs, with payoffs dictating strategy and the propagation process determining an individual's state. By theoretical analysis of the model, the propagation threshold and equilibrium points are obtained. Then the stability of the model is further demonstrated based on Routh-Hurwitz judgment and Descartes' Rule of Signs. Then numerical simulations are conducted to verify the correctness of the theoretical results and the sensitivity of the model to key parameters. The outcomes reveal that increasing the propagation cost of spreaders can significantly curb the spread of rumors. In contrast to the classical model, rumors spread faster and more widely in the improved multi-channel rumor propagation model in this paper, which is a feature more aligned with real-world scenarios. Finally, the validity and predictive ability of the model are verified by using real rumor propagation data sets, indicating that the improved multi-channel rumor propagation model has good practical application and predictive value.
互联网的快速发展加速了谣言的传播,给社会凝聚力和稳定带来了挑战。针对这一问题,我们提出了一个包含个体博弈行为和时间延迟的多渠道谣言传播模型。该模型描述了个人在谣言传播过程中对传播渠道的策略性选择,更忠实地反映了现实世界的复杂性。具体来说,该模型允许传播者在文本和视频信息基础渠道之间进行选择。策略的采取取决于收益与成本,收益决定策略,传播过程决定个体的状态。通过对模型的理论分析,得出了传播阈值和平衡点。然后根据 Routh-Hurwitz 判断和笛卡尔符号法则进一步证明了模型的稳定性。然后进行数值模拟,以验证理论结果的正确性以及模型对关键参数的敏感性。结果表明,增加传播者的传播成本可以大大抑制谣言的传播。与经典模型相比,在本文改进的多渠道谣言传播模型中,谣言传播的速度更快、范围更广,这也是更符合现实世界场景的特征。最后,利用真实的谣言传播数据集验证了模型的有效性和预测能力,表明改进后的多渠道谣言传播模型具有良好的实际应用和预测价值。
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引用次数: 0
Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity 拉斯塔尔引力中理性非线性电动力学 AdS 黑洞的相结构和临界行为
Pub Date : 2024-03-07 DOI: 10.1088/1572-9494/ad30f4
Y. Sekhmani, D. J. Gogoi, R. Myrzakulov, J. Rayimbaev
This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its critical behavior. The phase structure is examined using the extended first law of thermodynamics, with the cosmological constant $Lambda$ serving as pressure $P$. The isotherms exhibit van der Waals behavior at small values of horizon $r_+$. The paper also investigates the Gibbs free energy behavior and finds two critical points with two pressures where the reentrant phase transition occurs and disappears. On the other hand, we explore the prevalent microstructure of black holes in Ruppeiner geometry, uncovering significant deviations in the nature of particle interactions from conventional practice. Moreover, the thermodynamic geometry is analyzed using the Ruppeiner formalism, with the normalized Ricci scalar indicating possible point-phase transitions of the heat capacity, and the normalized extrinsic curvature having the same sign as the normalized Ricci scalar. The three-phase transitions of the heat capacity are those that we find for the normalized Ruppeiner curvatures. Thus, there is an absolute correspondence.
这篇研究论文介绍了拉斯塔尔引力框架中带有合理非线性电动力学源的黑洞解。论文分析了该方案在正常相空间中的热力学性质,并探讨了其临界行为。使用扩展的热力学第一定律考察了相结构,宇宙常数 $Lambda$ 充当压力 $P$。等温线在地平线 $r_+$ 的小值时表现出范德华行为。本文还研究了吉布斯自由能行为,并发现了两个临界点和两个压力,在这两个临界点上,重入相变发生并消失。另一方面,我们探索了鲁普埃纳几何中黑洞的普遍微观结构,发现粒子相互作用的性质与传统做法存在重大偏差。此外,我们还利用鲁普埃纳形式主义分析了热力学几何,归一化利玛窦标量表示热容量的可能点相转换,归一化外曲率与归一化利玛窦标量的符号相同。热容量的三相转换与我们发现的归一化鲁佩纳曲率的三相转换相同。因此,这两者是绝对对应的。
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引用次数: 0
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Communications in Theoretical Physics
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