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Empirical rovibrational energy levels for carbonyl sulphide 羰基硫化物的经验旋转振动能级
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-09 DOI: 10.1080/00268976.2023.2279694
Even Xu, Jonathan Tennyson
An exhaustive review of the measured rovibrational transitions of the 16O12C32S isotopologue of carbonyl sulphide is undertaken. A comprehensive analysis of data from 100 papers is carried out using a consistent set of harmonic oscillator quantum numbers which are recommended for future studies. A corrected compilation of 14,071 OCS transitions is then subjected to a Measured Active Rotational-Vibrational Energy Levels (MARVEL) analysis, resulting in 5729 empirical energy levels. The uncertainties corresponding to these levels are analysed using different procedures; the newly implemented bootstrap method is used to provide final uncertainties.
对羰基硫化物16O12C32S同位素测量的旋转振动跃迁进行了详尽的回顾。对来自100篇论文的数据进行了综合分析,使用了一套一致的谐振子量子数,这些量子数被推荐用于未来的研究。对14071个OCS跃迁进行校正后的编译,然后进行测量的主动旋转振动能级(MARVEL)分析,得到5729个经验能级。使用不同的程序分析与这些水平相对应的不确定度;采用新实现的自举法来提供最终不确定性。
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引用次数: 0
Phase partitioning nature, interaction forces and thermodynamic parameters of triton X-100 and bovine serum albumin mixture: impacts of the composition of Na-salt triton X-100与牛血清白蛋白混合物的相分配性质、相互作用力和热力学参数:钠盐组成的影响
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-08 DOI: 10.1080/00268976.2023.2277823
Aysha Bente Akbor, Md. Rafikul Islam, Aboud Ahmed Awadh Bahajjaj, K. M. Anis-Ul-Haque, Md Abdul Goni, Md. Anamul Hoque, D. M. Shafiqul Islam
AbstractHerein, the assessment of interactions between a non-ionic surfactant (NIS) triton X-100 (TNX-100) and a globular protein bovine serum albumin (BSA) was explored through the determination of clouding nature in aqueous solution of sodium salts (Na-salts). Sodium chloride (NaCl), sodium acetate (NaOAc), sodium carbonate (Na2CO3), sodium oxalate (Na2Oxal), sodium sulphate (Na2SO4), and sodium phosphate (Na3PO4) have been chosen to assess their impacts on the clouding nature of TNX-100 + BSA mixture. The estimated cloud point (CP) values were noticed to be lowered with the enhancement of [Na-salts]. The lessening of CP values has been explained by the salting out effect of anions. The calculated standard Gibbs free energy change (ΔGco) was positive at all examined conditions which illustrates the nonspontaneity of phase change. The standard enthalpy (ΔHco) and entropy (ΔSco) changes exhibited negative values at low contents of aq. Na-salts and positive values at high aq. Na-salts content. These consequences illustrate the presence of electrostatic interactions at low Na-salts concentration and hydrophobic interactions at high Na-salts concentration. Furthermore, enthalpy-entropy parameters were successfully computed and explained with proper clarification.KEYWORDS: Triton X-100bovine serum albuminclouding naturethermodynamicssodium salts Disclosure statementNo potential conflict of interest was reported by the authors.Additional informationFundingThis work was funded by the Researchers Supporting Project Number (RSPD2023R763) King Saud University, Riyadh, Saudi Arabia.
摘要本文通过测定钠盐水溶液的混浊性质,探讨了非离子表面活性剂triton X-100 (TNX-100)与球形蛋白牛血清白蛋白(BSA)的相互作用。选择氯化钠(NaCl)、乙酸钠(NaOAc)、碳酸钠(Na2CO3)、草酸钠(Na2Oxal)、硫酸钠(Na2SO4)和磷酸钠(Na3PO4)来评估它们对TNX-100 + BSA混合物云雾性质的影响。估计的浊点(CP)值随着[钠盐]的增强而降低。CP值的降低可以用阴离子的盐析作用来解释。计算得到的标准吉布斯自由能变化(ΔGco)在所有检测条件下均为正,说明相变的非自发性。标准焓(ΔHco)和熵(ΔSco)的变化在aq. na盐含量低时呈负值,在aq. na盐含量高时呈正值。这些结果说明在低钠盐浓度下存在静电相互作用,在高钠盐浓度下存在疏水相互作用。此外,还成功地计算了焓熵参数,并对其进行了适当的解释。关键词:Triton x -100牛血清白蛋白混浊性热力学钠盐披露声明作者未报告潜在利益冲突。本工作由研究人员支持项目号(RSPD2023R763)资助,沙特阿拉伯利雅得沙特国王大学。
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引用次数: 0
Enthalpy of dissociation of the mixed methane + propane sII hydrate along the three-phase equilibrium line 混合甲烷+丙烷水合物在三相平衡线上的解离焓
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-08 DOI: 10.1080/00268976.2023.2276904
Stephan Mohr, Rémi Pétuya, Ioannis N. Tsimpanogiannis
AbstractWe present a detailed overview of the calculation of the enthalpy of dissociation of structure II pure propane or mixed methane + propane hydrates, focussing primarily on methods that are based on either the Clausius-Clapeyron equation or the direct calculation of the enthalpies of all the components that are involved in the hydrate dissociation reaction. Molecular dynamics simulations are used extensively in order to calculate the enthalpies and molar volumes of water, methane, propane, and the sII mixed hydrate (with variant degree of occupancy) at pressure and temperature conditions along the three-phase (Hydrate–Liquid water–Vapor or Hydrate–Liquid water–Liquid hydrocarbon) equilibrium line.KEYWORDS: Methane +propane hydratesmolecular dynamics simulationsenthalpy of dissociationClausius-Clapeyron AcknowledgmentsWe acknowledge PRACE for awarding us access to JUWELS at GCS@FZJ, Germany.Disclosure statementNo potential conflict of interest was reported by the author(s).
摘要本文详细介绍了结构II型纯丙烷或混合甲烷+丙烷水合物解离焓的计算方法,重点介绍了基于Clausius-Clapeyron方程或直接计算水合物解离反应中所有组分的焓的方法。分子动力学模拟被广泛用于计算水、甲烷、丙烷和sII混合水合物(不同占有程度)在压力和温度条件下沿三相(水合物-液态水-水蒸气或水合物-液态水-液态烃)平衡线的焓和摩尔体积。关键词:甲烷+丙烷水合物;分子动力学模拟;解离反应;克劳修斯-克拉珀龙致谢我们感谢PRACE授予我们访问JUWELS的权限(GCS@FZJ, Germany)。披露声明作者未报告潜在的利益冲突。
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引用次数: 0
Vibrational (FT-IR), electronic (UV-Vis), thermodynamic, and NBO analyses of amide ↔ imide forms of articaine: a computational perspective on prototropic tautomerism 对氨↔亚胺形式的articaine的振动(FT-IR)、电子(UV-Vis)、热力学和NBO分析:原生互变异构的计算视角
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-08 DOI: 10.1080/00268976.2023.2279261
Sümeyya Serin, Öznur Doğan Ulu
AbstractHerein, the molecular structures of amide ↔ imide tautomers of articaine (ART) were computationally investigated at the DFT/B3LYP/6–311++G (d,p) methodology. Experimental FT-IR and UV-Vis characterisation results of ART were compared with the theoretical results of amide (ART-A) and imide (ART-I) forms. Thermodynamic parameters computed for each phase revealed that the amide tautomer of ART was preferred with energy values in the range of 11.9–13.8 kcal/mol. The modification in surface properties as a function of prototropic tautomerism in the ART molecule was studied by electrostatic surface properties (ESP) analysis. Frontier molecular orbital (FMO), natural bond orbital (NBO), and nonlinear optical (NLO) analyses were performed. It is revealed that energy gap values of the ART-I (4.670–4.738 eV) for each phase are slightly higher than those of the corresponding phases in the ART-A (4.515–4.586 eV). Therefore, it can be concluded that the imide form exhibits lower chemical reactivity compared to the amide form. Regarding NLO characteristics, dipole moment (μtot), mean polarisability (αtot), and mean first-order hyperpolarisability (βtot) values of tautomers have been reported. It was determined that the βtot values computed for ART-A (0.653 × 10−30 esu) and ART-I (0.710 × 10−30 esu) were approximately twice the value of the standard urea.KEYWORDS: Prototropic tautomerismArticaineReactivityDFTNBO analysis AcknowledgementThe numerical calculations reported in this paper were fully performed at TUBITAK ULAKBIM, High Performance and Grid Computing Center (TRUBA resources).Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementThe datasets generated during and/or analysed the current study are available from the corresponding author on reasonable request.
本文采用DFT/B3LYP/ 6-311 ++G (d,p)方法对青蒿素(ART)的酰胺↔亚胺互变异构体的分子结构进行了计算研究。ART的实验FT-IR和UV-Vis表征结果与酰胺(ART- a)和亚胺(ART- i)形式的理论结果进行了比较。热力学参数计算表明,ART的酰胺互变异构体的能量值在11.9 ~ 13.8 kcal/mol之间。采用静电表面性质(ESP)分析方法研究了ART分子的表面性质随原向变性的变化。前沿分子轨道(FMO)、自然键轨道(NBO)和非线性光学(NLO)进行了分析。结果表明,ART-I各相的能隙值(4.670 ~ 4.738 eV)略高于ART-A各相的能隙值(4.515 ~ 4.586 eV)。因此,可以得出结论,与酰胺形式相比,亚胺形式具有较低的化学反应性。在NLO特性方面,偶极矩(μtot)、平均极化率(αtot)和平均一阶超极化率(βtot)均有报道。结果表明,ART-A (0.653 × 10−30 esu)和ART-I (0.710 × 10−30 esu)的βtot值约为标准尿素的两倍。关键词:原生互变异构,海洋化学,反应活性,dftnbo分析确认本文的数值计算完全在TUBITAK ULAKBIM,高性能和网格计算中心(TRUBA资源)进行。披露声明作者未报告潜在的利益冲突。数据可用性声明当前研究期间生成和/或分析的数据集可根据通讯作者的合理要求提供。
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引用次数: 0
Occurrence state and nuclear magnetic resonance relaxation characteristics of confined water in quartz nanopores 石英纳米孔中承压水赋存状态及核磁共振弛豫特征
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-06 DOI: 10.1080/00268976.2023.2274964
Qing Sun, Yansong Gu, Zhiyang Xie, Leyang Yu, Xinmin Ge, Wenjing Fang, Bing Liu
AbstractWater in the shale obstructs the enrichment and transportation of shale gas, so it is crucial to identify the occurrence mechanism of water in shale. In this work, molecular dynamics (MD) simulation had been performed to explore the occurrence state, dynamic characteristics, and nuclear magnetic resonance (NMR) relaxation properties of confined water in shale inorganic nanopores (quartz). The results show that the number of adsorbed layers, diffusion coefficients (D) and rotational correlation time (τc) of water in quartz pores are strongly influenced by pore width (H). Layer analysis of water held in confinement indicates that the D value increases and the τc value decreases as the water approaches the centre of the pore. Furthermore, varying occurrence states lead to different NMR relaxation mechanisms. With the increase of H, the transverse relaxation time of adsorbed water is basically stable at 10−1 s. Finally, an exponential formula for evaluating pore size distribution is established. The total thickness of the water layer with the ratio of the intramolecular relaxation rate to the total relaxation rate less than 40% is defined as the thickness of the adsorbed water film.KEYWORDS: Quartz nanopores; confined water; occurrence state; nuclear magnetic resonance AcknowledgementThis research was financially supported by the Natural Science Foundation of Shandong Province (ZR2022MA052), the Independent Innovation Research Program of China University of Petroleum (East China) (22CX03004A), and the National Natural Science Foundation of China (42174142).Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work was supported by National Natural Science Foundation of China: [Grant Number 42174142]; Natural Science Foundation of Shandong Province: [Grant Number ZR2022MA052]; the Independent Innovation Research Program of China University of Petroleum (East China): [Grant Number 22CX03004A].
页岩中水阻碍了页岩气的富集和输运,因此明确页岩中水的赋存机制至关重要。本文通过分子动力学(MD)模拟研究页岩无机纳米孔(石英)中承压水的赋存状态、动态特征及核磁共振弛豫特性。结果表明,石英孔隙中水的吸附层数、扩散系数(D)和旋转相关时间(τc)受孔隙宽度(H)的影响较大。禁闭水的层间分析表明,随着水逐渐接近孔隙中心,D值增大,τc值减小。此外,不同的赋存状态导致不同的核磁共振弛豫机制。随着H的增加,吸附水的横向弛豫时间基本稳定在10−1 s。最后,建立了评价孔径分布的指数公式。定义分子内弛豫率与总弛豫率之比小于40%的水层总厚度为吸附水膜的厚度。关键词:石英纳米孔;承压水;赋存状态;本研究得到山东省自然科学基金项目(ZR2022MA052)、中国石油大学(华东)自主创新研究计划项目(22CX03004A)和国家自然科学基金项目(42174142)的资助。披露声明作者未报告潜在的利益冲突。本研究由国家自然科学基金资助:[批准号:42174142];山东省自然科学基金项目[批准号ZR2022MA052];中国石油大学(华东)自主创新研究计划[批准号:22CX03004A]。
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引用次数: 0
Expected values of Sombor indices and their entropy measures for graphene 石墨烯Sombor指数期望值及其熵测度
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-03 DOI: 10.1080/00268976.2023.2276905
M. C. Shanmukha, K. J. Gowtham, A. Usha, K. Julietraja
AbstractGraph theory plays a crucial role in various applications of mathematics and applied sciences. One specialised branch of graph theory is mathematical chemistry, which focuses on mathematical modelling and analysing chemical compounds and their properties. In this context, graphs are used to represent the structural and topological features of molecules, enabling chemists to gain insights into chemical reactions and make predictions about molecular properties. Recently, new versions of Sombor indices have been introduced using a geometric approach. This article specifically focuses on entropy-based variations of these Sombor indices, which includes SO, SOred, SOavg, mSO, SO3 and SO4, in the context of graphene sheet. Graphene has gained significant attention in the scientific and technological communities due to its exceptional properties. It finds widespread applications in diverse fields such as nanotechnology, electronics, energy storage, sensors, materials science and optoelectronics. Given the promising applications of graphene, it becomes essential to theoretically analyse its structure. Molecular descriptors play a crucial role, as they are strongly linked to various characteristics of chemical compounds. To better understand the Sombor indices, this article graphically represents their entropy measures.Keywords: Chemical graph theorytopological indicesSombor indicesentropy descriptorsgraphene sheet Disclosure statementNo potential conflict of interest was reported by the author(s).
摘要图论在数学和应用科学的各种应用中起着至关重要的作用。图论的一个专门分支是数学化学,它侧重于数学建模和分析化合物及其性质。在这种情况下,图形被用来表示分子的结构和拓扑特征,使化学家能够深入了解化学反应并预测分子性质。最近,使用几何方法引入了Sombor指数的新版本。本文特别关注这些Sombor指数的熵基础变化,包括SO,应邀,SOavg, mSO, SO3和SO4,在石墨烯片的背景下。石墨烯由于其特殊的性能在科技界引起了极大的关注。它广泛应用于纳米技术、电子、储能、传感器、材料科学和光电子等各个领域。考虑到石墨烯的应用前景,从理论上分析其结构变得至关重要。分子描述符起着至关重要的作用,因为它们与化合物的各种特征密切相关。为了更好地理解Sombor指数,本文用图形表示了它们的熵度量。关键词:化学图理论拓扑指标sombor指标熵描述符石墨烯片披露声明作者未报告潜在利益冲突。
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引用次数: 0
CO 2 Electrochemical reduction on the two dimensional transition metal coordinated by 2,3,6,7,10,11-triphenylenehexathiol and 2,3,6,7,10,11-triphenylenehexamine, a computational survey 2、3、6、7、10、11-三苯基六硫醇和2、3、6、7、10、11-三苯基配位二维过渡金属的电化学还原研究
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-02 DOI: 10.1080/00268976.2023.2274503
Haoyan Zhang, Lin Cheng, Kai Li, Ying Wang, Zhijian Wu
AbstractElectrochemical CO2 reduction reaction (CO2RR) provides a feasible technology for alleviating global warming, energy crisis and sustainable energy production. In this work, CO2RR reaction mechanism on TM-THTA (TM = Fe, Co, Ni, Ru, Rh, Pd, THTA is composed by two types of building blocks of 2,3,6,7,10,11-triphenylenehexathiol and 2,3,6,7,10,11-triphenylenehexamine) has been studied by using density functional method. Our study showed that the studied catalysts are stable both thermodynamically and electrochemically. Rh-THTA is a good CO2 reduction catalyst in producing CH4. Pd-THTA is a potential CO2 reduction catalyst in producing HCOOH. Solvent effect plays important role in reaction mechanism. The strong hydrogen evolution reaction in Rh-THTA and Pd-THTA can be refrained by adjusting the pH values of electrolyte. We hope this study could provide a useful way to develop 2D-MOF-based CO2RR electrocatalysts.KEYWORDS: CO2 reduction; two-dimensional metal-organic frameworks; density functional study; reaction mechanism Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work is supported by The National Natural Science Foundation of China (21963009 and 22373097), The Program for Innovative Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region Team in Universities of Inner Mongolia Autonomous Region (NMGIRT2214), The Local Scientific and Technological Development Plan guided by the Central Government (2021ZY0025), The Grassland Talents Engineering of Inner Mongolia and The Light of West China Program by Chinese Academy of Sciences. The computational time is supported by the computing centre of Changchun Institute of Applied Chemistry.
摘要电化学CO2还原反应(CO2RR)为缓解全球变暖、缓解能源危机和可持续能源生产提供了一种可行的技术。本文采用密度泛函方法研究了CO2RR在TM-THTA (TM = Fe, Co, Ni, Ru, Rh, Pd, THTA由2,3,6,7,10,11-三苯基己硫醇和2,3,6,7,10,11-三苯基己硫醇两种类型的构建块组成)上的反应机理。我们的研究表明,所研究的催化剂在热力学和电化学上都是稳定的。Rh-THTA是生成CH4的良好CO2还原催化剂。Pd-THTA是生产HCOOH的潜在CO2还原催化剂。溶剂效应在反应机理中起重要作用。通过调节电解液的pH值,可以抑制Rh-THTA和Pd-THTA中的强析氢反应。希望本研究能为开发2d - mof基CO2RR电催化剂提供有益的途径。关键词:CO2减排;二维金属-有机骨架;密度功能研究;披露声明作者未报告潜在的利益冲突。项目资助:国家自然科学基金项目(21963009和22373097)、内蒙古自治区高校科技创新研究计划项目(NMGIRT2214)、地方科技发展计划项目(2021ZY0025)、内蒙古自治区高校科技创新研究计划项目(2021ZY0025);中国科学院内蒙古草原人才工程和西部之光项目。计算时间由长春应用化学研究所计算中心提供支持。
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引用次数: 0
Empirical rovibronic energy levels of C 3 c3的经验振动能级
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-02 DOI: 10.1080/00268976.2023.2276912
Jonathan Tennyson
The carbon trimer, C3 also known as propadienediylidene, is a quasi-linear molecule with an unusual electronic structure and a very flat bending potential in its ground electronic state. C3 is an important species in astrophysics and carbon plasmas. Observed transition wavenumbers within and between the X~1Σg+ and A~1Πu states of C3 are extracted from 21 papers and then subjected to a Measured Active Rotational-Vibrational Energy Levels (MARVEL) analysis: a corrected list of 4940 transitions are inverted to yield 1887 empirical energy levels. Uncertainties for these levels are determined using a newly implemented bootstrap method. These levels will provide input for developing a full spectroscopic model for C3 which can used to generate a line list for the X~1Σg+ and A~1Πu states.
碳三聚体,C3也被称为丙二烯,是一种准线性分子,具有不寻常的电子结构和基电子状态下非常平坦的弯曲电位。C3是天体物理学和碳等离子体中的重要物质。从21篇论文中提取了C3的X~1Σg+和A~1Πu状态内和之间的观测跃迁波数,然后进行了测量的主动旋转振动能级(MARVEL)分析:将4940个跃迁的修正列表倒转到1887个经验能级。这些水平的不确定性是用一种新实现的自举法确定的。这些能级将为开发C3的全光谱模型提供输入,该模型可用于生成X~1Σg+和a ~1Πu态的谱线表。
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引用次数: 0
Nematic phases from nearly spherical mesogens: applying the approximate non-conformal (ANC) theory 近球形介元的向列相:应用近似非共形理论
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-02 DOI: 10.1080/00268976.2023.2276903
A. de J. Ríos-Roldán, J. A. Munguía-Valadez, E. J. Sambriski, J. A. Moreno-Razo
AbstractA coarser model for the Gay-Berne mesogen is developed using the interaction potential from the Approximate Non-Conformal (ANC) theory. The ANC potential contains both repulsive and attractive contributions. We modify intermolecular attractions by conditioning them with a Hess-Su orientation-dependent term. This imparts an anisotropic contribution to the energy of the system. The softness parameter s of the ANC potential is probed to qualitatively identify a threshold capable of sustaining a nematic phase. We construct phase diagrams for each value of s from molecular dynamics simulations and characterise bulk samples to outline phase regions. We find that a softness parameter s∼0.6 or higher supports the emergence of a nematic phase. The stability of the nematic region is enhanced as s→1, corresponding to the conventional Lennard-Jones interaction. The stability of the nematic phase for nearly-spherical mesogens with increasing s leads to a gradual loss in spherical symmetry despite no imposed shape anisotropy. Thus, the energy anisotropy becomes more pronounced and is capable of prompting the emergence of the nematic phase in this model.Keywords: Phase diagramsnematicmesogenanisotropyliquid crystals AcknowledgmentsJAMR gratefully acknowledges the support provided through grants UNAM-DGAPA-PAPIIT IN114721, LANCAD-UNAM-DGTIC-276, and LANCAD-UNAM-DGTIC-247, in addition to the generous computing time provided by the Laboratorio de Supercómputo y Visualización en Paralelo at UAMI (LSVP-UAMI).Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingJMV and AJRR are thankful for the financial support received through a CONACYT graduate fellowship (No. 947695 and 1234731).
摘要利用近似非共形(ANC)理论中的相互作用势,建立了一个较为粗糙的Gay-Berne介圈模型。非国大的潜力既有令人反感的贡献,也有吸引人的贡献。我们修改分子间的吸引力,通过调节他们与Hess-Su取向相关的项。这使得系统的能量具有各向异性。探讨了ANC电位的柔软参数s,以定性地确定能够维持向列相的阈值。我们从分子动力学模拟中为每个s值构建相图,并对大块样品进行表征以勾勒相区域。我们发现柔软度参数s ~ 0.6或更高支持向列相的出现。向列区域的稳定性随着s→1而增强,与传统的Lennard-Jones相互作用相对应。随着s的增加,向列相的稳定性导致球面对称性的逐渐丧失,尽管没有施加形状各向异性。因此,能量各向异性变得更加明显,并且能够促使该模型中向列相的出现。jamr感谢通过赠款UNAM-DGAPA-PAPIIT IN114721, LANCAD-UNAM-DGTIC-276和LANCAD-UNAM-DGTIC-247提供的支持,以及UAMI (LSVP-UAMI)平行实验室Supercómputo y Visualización提供的慷慨计算时间。披露声明作者未报告潜在的利益冲突。jmv和AJRR感谢通过CONACYT研究生奖学金(No. 947695和1234731)获得的财政支持。
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引用次数: 0
Diffusion limited aggregation, resetting and large deviations of Brownian motion 扩散限制聚集、重置和布朗运动的大偏差
4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2023-11-01 DOI: 10.1080/00268976.2023.2276906
Uriel Villanueva-Alcalá, José R. Nicolás-Carlock, Denis Boyer
AbstractModels of fractal growth commonly consider particles diffusing in a medium and that stick irreversibly to the forming aggregate when making contact for the first time. As shown by the well-known diffusion limited aggregation (DLA) model and its generalisations, the fractal dimension is sensitive to the nature of the stochastic motion of the particles. Here, we study the structures formed by finite-lived Brownian particles, i.e. particles constrained to find the aggregate within a prescribed time, and which are removed otherwise. This motion can be modelled by diffusion with stochastic resetting, a class of processes which has been widely studied in recent years. In the short lifetime limit, a very small fraction of the particles manage to reach the aggregate. Hence, growth is controlled by atypical Brownian trajectories, that move nearly in straight line according to a large deviation principle. In d dimensions, the resulting fractal dimension of the aggregate decreases from the DLA value and tends to 1, instead of increasing to d as expected from ballistic aggregation. In the zero lifetime limit one recovers the non-trivial model of ‘aggregation by the tips’ proposed long ago by R. Jullien [J. Phys. A: Math. Gen. 19, 2129 (1986)].KEYWORDS: Brownian motionresetting processesdiffusion limited aggregationlarge deviationsgeometrical optics Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingWe thank Carlos E. López Natarén for technical computer support. We acknowledge support from Consejo Nacional de Ciencia y Tecnología (Ciencia de Frontera 2019 (CONACYT)) [grant number 263958].
分形生长模型通常考虑颗粒在介质中扩散,并且在第一次接触时不可逆地粘在形成的聚集体上。众所周知的扩散有限聚集(DLA)模型及其推广表明,分形维数对粒子随机运动的性质很敏感。在这里,我们研究了由有限寿命布朗粒子形成的结构,即在规定时间内找到聚集体的粒子,否则就会被移除。这种运动可以用带有随机重置的扩散来模拟,这是近年来被广泛研究的一类过程。在较短的寿命极限内,只有极小部分的颗粒能够到达聚集体。因此,增长是由非典型布朗轨迹控制的,这种轨迹根据大偏差原理几乎是直线运动的。在d维中,聚合体的分形维数从DLA值开始下降,并趋于1,而不是像弹道聚集所期望的那样增加到d。在零寿命极限下,人们恢复了R. Jullien很久以前提出的“尖端聚合”的非平凡模型[J]。理论物理。答:数学。创19,2129(1986)]。关键词:布朗运动重置过程扩散有限聚集大偏差几何光学披露声明作者未报告潜在的利益冲突。我们感谢Carlos E. López natar文职人员提供的计算机技术支持。我们感谢国家科学委员会通过Tecnología(科学前沿2019 (CONACYT))[批准号263958]的支持。
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引用次数: 1
期刊
Molecular Physics
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