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Viscoelastic stress relaxation, fast and slow 粘弹性应力松弛,快慢。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-29 DOI: 10.1039/D5SM01008J
H. Henning Winter

Soft materials such as colloids, pastes, and polymer liquids are defined rheologically by how they build and relax stress during flow and deformation. Their internal connectivity manifests in a broad spectrum of viscoelastic eigenmodes, with relaxation ranging from fast to slow and contributions that vary from weak to strong. The interplay of these modes determines how the material deforms under shear, compression, or stretching across different processing timescales. Traditional measures of viscoelasticity, such as the Deborah number (De) and the Weissenberg number (Wi), condense this complexity into single scalar values. While useful for certain purposes, these scalar measures mask the fast/slow interplay of relaxation processes that shape the distinct responses of soft matter. To overcome this limitation, we introduce the “spectral classification of processes and eigenmodes” (SCOPE) framework. SCOPE explicitly accounts for the distributed nature of both process times and material relaxation times. It generalizes the classical De and Wi into their functional counterparts—the Deborah function and the Weissenberg function—which connect applied stress and strain to the full spectrum of relaxation times (0 < τ < τmax), thereby covering the entire range of process timescales and types of deformation. By doing so, SCOPE provides a spectral perspective on viscoelasticity that integrates fast and slow dynamics within a single, unified rheological framework. SCOPE provides criteria that separate viscous from elastic eigenmodes, and modes below or above the onset of nonlinearity. In what follows, we introduce the SCOPE framework in detail and demonstrate its functions for viscoelastic liquids.

软质材料,如胶体、糊状物和聚合物液体,是通过它们在流动和变形过程中如何建立和放松应力来定义流变学的。它们的内部连通性表现为广泛的粘弹性特征模态,弛豫范围从快到慢,贡献从弱到强。这些模式的相互作用决定了材料如何在剪切,压缩或拉伸下在不同的加工时间尺度下变形。传统的粘弹性测量方法,如Deborah数(De)和Weissenberg数(Wi),将这种复杂性浓缩为单个标量值。虽然对某些目的有用,但这些标量测量掩盖了形成软物质不同反应的弛豫过程的快/慢相互作用。为了克服这一限制,我们引入了“过程和特征模的光谱分类”(SCOPE)框架。SCOPE明确地说明了过程时间和材料松弛时间的分布性质。它将经典的De和Wi推广到它们的对应函数——Deborah函数和Weissenberg函数——它们将施加的应力和应变连接到松弛时间的全谱(0 < τ < τmax),从而涵盖了整个过程时间尺度和变形类型的范围。通过这样做,SCOPE提供了粘弹性的光谱视角,将快速和慢速动力学集成在单一统一的流变学框架中。SCOPE提供了将粘性与弹性特征模态分开的标准,以及低于或高于非线性开始的模态。接下来,我们将详细介绍SCOPE框架,并演示其在粘弹性液体中的功能。
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引用次数: 0
Sequence-defined phase behavior of poly(N-isopropylacrylamide-co-acrylamide) in water 序列定义的聚(n -异丙基丙烯酰胺-共丙烯酰胺)在水中的相行为。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-29 DOI: 10.1039/D5SM00810G
Sandeep Parma, Ramamurthy Nagarajan and Tarak K. Patra

The precise arrangement of different chemical moieties in a polymer determines its thermophysical properties. How the sequence of moieties impacts the properties of a polymer is an outstanding problem in polymer science. Herein, we address this problem for the thermoresponsive property of poly(N-isopropylacrylamide-co-acrylamide) in water using all-atom molecular dynamics (MD) simulations for temperatures ranging from 260 K to 360 K. Our simulations classify four distinct classes of thermoresponsive behavior in PNIPAM-co-PAM: (i) sequence exhibiting lower critical solution temperature (LCST) behavior, (ii) sequence exhibiting upper critical solution temperature (UCST) behavior, (iii) sequence displaying both LCST and UCST transitions, and (iv) sequence showing no discernible phase transition within the investigated temperature range. The critical temperature exhibits a strong correlation with the mean block length in periodic sequences displaying LCST-type behavior. This variability in thermoresponsive property is found to be closely linked to the extent of hydrogen bond formation in the system. These findings offer new directions in the design of structurally diverse thermoresponsive copolymers.

聚合物中不同化学成分的精确排列决定了它的热物理性质。分子序列如何影响聚合物的性质是高分子科学中的一个突出问题。在此,我们利用全原子分子动力学(MD)模拟了温度范围为260 K至360 K的水中聚(n -异丙基丙烯酰胺-共丙烯酰胺)的热响应性能。我们的模拟将PNIPAM-co-PAM的热响应行为分为四种不同的类型:(i)表现出较低临界溶液温度(LCST)行为的序列,(ii)表现出较高临界溶液温度(UCST)行为的序列,(iii)同时表现出LCST和UCST转变的序列,以及(iv)在所研究的温度范围内没有明显相变的序列。在具有lst型行为的周期序列中,临界温度与平均块长度有很强的相关性。这种热响应特性的变化被发现与系统中氢键形成的程度密切相关。这些发现为设计结构多样的热敏共聚物提供了新的方向。
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引用次数: 0
Modes of mechanical guidance of adhesion-independent cell migration 不依赖黏附的细胞迁移的机械引导模式。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-27 DOI: 10.1039/D5SM00960J
Hanna Luise Gertack, Peter A. E. Hampshire, Claudia Wohlgemuth, Ricard Alert and Sebastian Aland

Adhesion-independent migration is a prominent mode of cell motility in confined environments, yet the physical principles that guide such movement remain incompletely understood. We present a phase-field model for simulating the motility of deformable, non-adherent cells driven by contractile surface instabilities of the cell cortex. This model couples surface and bulk hydrodynamics, accommodates large shape deformations and incorporates a diffusible contraction-generating molecule (myosin) that drives cortical flows. These capabilities enable a systematic exploration of how mechanical cues direct cell polarization and migration. We first demonstrate that spontaneous symmetry breaking of cortical activity can lead to persistent and directed movement in channels. We then investigate how various physical cues – including gradients in friction, viscosity, and channel width as well as external flows and hydrodynamic interactions between cells – steer migration. Our results show that active surface dynamics can generate stimulus-specific cell behaviors, such as migration up friction gradients or escape from narrow regions. Beyond cell migration, the model offers a versatile platform for exploring the mechanics of active surfaces in biological systems.

不依赖黏附的迁移是在受限环境中细胞运动的一种重要模式,然而指导这种运动的物理原理仍然不完全清楚。我们提出了一个相场模型,用于模拟由细胞皮层的收缩表面不稳定性驱动的可变形的非贴壁细胞的运动。该模型结合了表面和整体流体动力学,适应大的形状变形,并结合了驱动皮质流动的可扩散收缩生成分子(肌球蛋白)。这些能力使得系统地探索机械线索如何直接细胞极化和迁移。我们首先证明了皮层活动的自发对称性破坏可以导致通道中持续和定向的运动。然后,我们研究了各种物理线索-包括摩擦梯度,粘度和通道宽度以及外部流动和细胞之间的流体动力学相互作用-如何引导迁移。我们的研究结果表明,活性表面动力学可以产生刺激特异性的细胞行为,如沿摩擦梯度迁移或从狭窄区域逃逸。除了细胞迁移之外,该模型还为探索生物系统中活性表面的机制提供了一个多功能平台。
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引用次数: 0
Cyclization in random graph modeling of acrylate copolymerization. 丙烯酸酯共聚随机图建模中的环化。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-24 DOI: 10.1039/d5sm01127b
Tamika van 't Hoff, Teun Schilperoort, Ivan V Kryven, Piet D Iedema

Despite its many applications, three-dimensional radical polymerization remains poorly understood. A major challenge is the considerable kinetic slowdown caused by gelation-a liquid-to-solid phase transition that produces a network permeating the entire volume. This rapidly developing structure greatly obscures direct experimental observations of kinetic mechanisms during network formation. Although molecular dynamics (MD) simulations can qualitatively reproduce the gelation process, they are restricted to unrealistically short time scales. To address this limitation, particularly with respect to cycle formation, we propose coarse-grained modeling techniques based on random graphs (RG) and Monte Carlo (MC) simulations, and apply them to the polymerization of (multi)functional acrylates: N-butyl acrylate (NBA), 1,6-hexanediol diacrylate (HDDA), and trimethylolpropane triacrylate (TMPTA). This approach emphasizes the network of monomer units in the polymer rather than representing individual molecules in atomistic detail. In our models, cycles are represented as special types of vertices, depending on their size. The model demonstrates the impact of cycles, such as a delay in the gel point, which varies with cycle size. The number and size of cycles predicted by the coarse-grained models agree well with MD simulations, but they still fail to capture certain structural features, such as overlapping cycles. Typically, in the gel regime, RG and MC models predict structures with many connected cycles essentially in a tree-like pattern.

尽管有许多应用,三维自由基聚合仍然知之甚少。一个主要的挑战是由凝胶化(一种液体到固体的相变,会产生一个渗透整个体积的网络)引起的相当大的动力学减速。这种快速发展的结构极大地模糊了网络形成过程中动力学机制的直接实验观察。尽管分子动力学(MD)模拟可以定性地再现凝胶化过程,但它们受限于不切实际的短时间尺度。为了解决这一限制,特别是在循环形成方面,我们提出了基于随机图(RG)和蒙特卡罗(MC)模拟的粗粒度建模技术,并将其应用于(多)功能性丙烯酸酯的聚合:n -丙烯酸丁酯(NBA)、1,6-己二醇二丙烯酸酯(HDDA)和三甲基丙烯三丙烯酸酯(TMPTA)。这种方法强调聚合物中单体单元的网络,而不是代表单个分子的原子细节。在我们的模型中,循环被表示为特殊类型的顶点,这取决于它们的大小。该模型显示了循环的影响,如凝胶点的延迟,随着循环大小的变化而变化。粗粒度模型预测的周期的数量和大小与MD模拟非常吻合,但它们仍然无法捕捉某些结构特征,例如重叠周期。通常,在凝胶状态下,RG和MC模型预测具有许多连接循环的结构,基本上呈树状模式。
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引用次数: 0
Tuning the velocity of thermophoretic microswimmers with thermo-sensitive polymers 用热敏聚合物调节热泳微泳体的速度。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-23 DOI: 10.1039/D5SM01119A
Franziska Braun, Aritra K. Mukhopadhyay, Samad Mahmoudi, Kevin Gräff, Atieh Razavi, Carina Schneider, Sierk Lessnau, Benno Liebchen and Regine von Klitzing

Understanding and controlling the motion of self-propelled particles in complex fluids is crucial for applications in targeted drug delivery, microfluidic transport, and the broader field of active matter. Here, we investigate the thermophoretic self-propulsion of partially gold-coated polystyrene Janus particles (Au–PS) in temperature-responsive linear poly(N-isopropyl acrylamide) (PNIPAM) solutions across various concentrations and temperatures. Particle velocities are examined at three representative temperatures: room temperature ((21 ± 0.2) °C), (28 ± 1) °C (just below the LCST), and (34 ± 1) °C (above the LCST). Viscosity values of the PNIPAM solutions were found to be close to those of pure water, with no significant shear thinning or other viscoelastic effects observed under relevant experimental conditions. In pure water, Au–PS Janus particles propel with the PS hemisphere leading, driven by their intrinsic thermophoretic response. At low polymer concentrations (0.05 wt%), experiments and theoretical calculations reveal a non-monotonic dependence of particle velocity on temperature, with a maximum near the LCST. In this regime, the positive Soret coefficient of PNIPAM causes the polymer to accumulate near the cooler PS hemisphere, generating a diffusiophoretic drift that can dominate the intrinsic thermophoretic motion and reverse the propulsion direction. Experimentally, the propulsion direction switches from PS-forward to Au-forward between 0.04 wt% and 0.05 wt%, and within the 0.05 wt% solution, a secondary reversal back to PS-forward is observed at higher temperatures, consistent with the weakening of the depletion-induced drift above the LCST. At higher concentrations (0.5 wt% and 1 wt%), the increased polymer content leads to stronger adsorption onto the entire particle surface, which suppresses propulsion by reducing local asymmetry. At 34 °C, thermophoretic propulsion stops, leaving only Brownian motion. Additionally, the diffusion coefficient increases due to temperature raise. These results highlight the potential of thermo-responsive polymers to control microswimmer dynamics, offering tunable transport properties for applications in active matter and targeted delivery systems.

理解和控制复杂流体中自推进粒子的运动对于靶向药物输送、微流体输送和更广泛的活性物质领域的应用至关重要。在这里,我们研究了部分金包覆的聚苯乙烯Janus颗粒(Au-PS)在不同浓度和温度的温度响应线性聚(n -异丙基丙烯酰胺)(PNIPAM)溶液中的热泳自推进。在三种代表性温度下检测粒子速度:室温((21±0.2)°C),(28±1)°C(略低于LCST)和(34±1)°C(高于LCST)。PNIPAM溶液的粘度值与纯水接近,在相关实验条件下没有观察到明显的剪切变薄或其他粘弹性效应。在纯水中,Au-PS Janus粒子在其固有热泳反应的驱动下,以PS半球为主导推进。在低聚合物浓度(0.05 wt%)下,实验和理论计算表明,粒子速度与温度呈非单调关系,在最低温度附近达到最大值。在这种情况下,PNIPAM的正Soret系数导致聚合物在较冷的PS半球附近积聚,产生扩散泳动,可以支配固有的热泳动并逆转推进方向。实验结果表明,在0.04 wt%和0.05 wt%之间,推进方向从PS-forward切换到Au-forward,并且在0.05 wt%的溶液中,在较高温度下观察到二次逆转回到PS-forward,这与lst上方耗尽诱导漂移的减弱相一致。在较高的浓度(0.5 wt%和1 wt%)下,聚合物含量的增加导致整个颗粒表面的吸附更强,从而通过减少局部不对称来抑制推进。在34°C时,热泳推进停止,只留下布朗运动。此外,扩散系数随温度升高而增大。这些结果突出了热响应聚合物在控制微游泳动力学方面的潜力,为活性物质和靶向递送系统的应用提供了可调的传输特性。
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引用次数: 0
Small particle dynamics in glassy polymers: diffusion, relaxation, and machine-learned softness 玻璃聚合物中的小颗粒动力学:扩散、松弛和机器学习的柔软性。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-23 DOI: 10.1039/D5SM00837A
S. J. Layding and R. A. Riggleman

In this work, we explore the simulated transport dynamics of small particles through a polymer melt at temperatures spanning from liquid-like behavior down to near and below the simulated glass transition temperature. Using softness, a machine-learned scalar quantity, we connect the structural neighborhood surrounding a particle with its dynamic behavior to relate the probability of a glassy rearrangement to its local environment. An energetic and entropic scale for the rearrangement process of these small particles emerges and is compared across systems of different particle sizes and interaction strengths. Diffusion coefficients and relaxation times both show strong dependence on our tuning parameters, and the barriers to rearrangement show increasing nonlinearity as the particles become smaller. The trends we observe provide some insight into how local structure plays a role in small molecule transport when the surrounding medium is undergoing a glass transition, leading to large changes in system mobility.

在这项工作中,我们探索了小颗粒通过聚合物熔体的模拟输运动力学,其温度范围从类液体行为一直到接近和低于模拟的玻璃化转变温度。利用柔软度,一个机器学习的标量量,我们将粒子周围的结构邻域与其动态行为联系起来,将玻璃重排的概率与其局部环境联系起来。出现了这些小粒子重排过程的能量和熵尺度,并在不同粒径和相互作用强度的系统中进行了比较。扩散系数和弛豫时间都表现出对调谐参数的强烈依赖,重排障碍随着粒子变小而表现出越来越大的非线性。我们观察到的趋势提供了一些见解,说明当周围介质经历玻璃化转变时,局部结构如何在小分子运输中发挥作用,从而导致系统迁移率的巨大变化。
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引用次数: 0
Moisture sorption of cellulose-based porous media containing co-solvents and its impact on pore-fiber transport rates of co-solvent solutions 含共溶剂纤维素基多孔介质的吸湿性及其对共溶剂溶液孔纤维传输速率的影响。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-23 DOI: 10.1039/D5SM00847F
Sajjad Karimnejad and Anton A. Darhuber

Water-based inkjet inks typically contain non-volatile, polar compounds – referred to as co-solvents – such as glycerol and ethylene glycol oligomers, which constitute approximately 5–50 wt% of the total ink. The hygroscopic nature of both paper and co-solvents makes their interplay with atmospheric moisture a critical factor in controlling the penetration and drying dynamics of ink, as well as the long-term mechanical and morphological stability of the printed paper. In this study, we systematically investigate how co-solvent deposition influences equilibrium moisture uptake and how the ambient humidity influences the ink absorption dynamics into cellulose fibers. We find that co-solvent addition substantially increases moisture uptake and eliminates the sorption hysteresis present in paper. The moisture sorption of co-solvent-infused paper is well-predicted by the mass-weighted average of the individual, single-material sorption isotherms of paper and co-solvent. The rate of pore-fiber transport of co-solvents was observed to depend sensitively on ambient humidity, the presence of predeposited liquids as well as the addition of surfactants and divalent salts.

水性喷墨油墨通常含有非挥发性极性化合物(称为共溶剂),如甘油和乙二醇低聚物,约占油墨总量的5- 50%。纸张和共溶剂的吸湿性使它们与大气水分的相互作用成为控制油墨渗透和干燥动力学以及印刷纸张的长期机械和形态稳定性的关键因素。在这项研究中,我们系统地研究了共溶剂沉积如何影响平衡吸湿,以及环境湿度如何影响纤维素纤维对油墨的吸收动力学。我们发现共溶剂的加入大大增加了吸湿性,消除了纸张中存在的吸附滞后。通过纸张和助溶剂的单材料吸附等温线的质量加权平均值,可以很好地预测助溶剂注入纸的吸湿性。观察到共溶剂的孔纤维传输速率敏感地依赖于环境湿度、预沉积液体的存在以及表面活性剂和二价盐的添加。
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引用次数: 0
Celebrating 20 years of Soft Matter 庆祝软物质诞生20周年。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-22 DOI: 10.1039/D5SM90214B
Alfred J. Crosby and Maria E. Southall

A graphical abstract is available for this content

此内容的图形摘要可用
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引用次数: 0
Physical effects of hydrogel coatings on seed germination 水凝胶包衣对种子萌发的物理影响。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-22 DOI: 10.1039/D5SM00932D
Tori Melise Phillips, Joshua Green, Alvaro Sanz-Saez and Jean-François Louf

Hydrogel coatings are increasingly applied to seeds to enhance hydration and support germination; however, their outcomes remain inconsistent, and the underlying physical mechanisms remain unclear. Here, we dissect the hydrogel–seed interface as a soft material system, isolating how water imbibition, mechanical confinement, and oxygen permeability govern germination dynamics. Using artificial and natural seeds, we show that water uptake follows classical Lucas–Washburn dynamics and is not impeded by the hydrogel coating. Instead, germination delays arise from two key physical effects: the mechanical stiffness of the coating and its restriction of gas exchange. In Petri dishes, soft coatings accelerate germination, suggesting minimal resistance to radicle emergence; however, this advantage disappears in soil, where all coatings delay germination regardless of stiffness. Controlled-pressure experiments in transparent soil rule out mechanical load as the dominant factor. Instead, selectively exposing the hilum and micropyle—critical sites for gas exchange—restores germination timing. These findings demonstrate that hydrogel-coated seeds are primarily limited by oxygen diffusion, not water transport, revealing how soft material interfaces modulate biological function. This work provides design principles for soft coatings that balance hydration, mechanical compliance, and gas permeability in bio-integrated systems.

水凝胶涂层越来越多地应用于种子,以提高水化和支持发芽;然而,他们的结果仍然不一致,潜在的物理机制仍然不清楚。在这里,我们将水凝胶-种子界面作为一个软材料系统进行剖析,分离出水吸胀、机械约束和氧渗透性如何控制萌发动力学。使用人工和天然种子,我们表明水吸收遵循经典的卢卡斯-沃什伯恩动力学,不受水凝胶涂层的阻碍。相反,发芽延迟是由两个关键的物理效应引起的:涂层的机械刚度及其对气体交换的限制。在培养皿中,软涂层加速发芽,表明对胚根出现的抵抗力最小;然而,这种优势在土壤中消失了,在土壤中,所有的涂层都会延迟发芽,而不管硬度如何。透明土的控压试验排除了机械载荷作为主导因素的影响。相反,选择性地暴露门和微孔关键部位进行气体交换可以恢复发芽时间。这些发现表明,水凝胶包覆的种子主要受到氧气扩散的限制,而不是水的运输,揭示了软材料界面如何调节生物功能。这项工作为在生物集成系统中平衡水化、机械顺应性和透气性的软涂层提供了设计原则。
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引用次数: 0
Bridging scales: machine learning for the rational design and modelling of shape memory polymers. 桥接尺度:用于形状记忆聚合物的合理设计和建模的机器学习。
IF 2.8 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2025-12-22 DOI: 10.1039/d5sm00980d
Cheng Yan, Giulia Scalet

Shape memory polymers (SMPs) are a class of stimuli-responsive materials with significant potential across diverse fields including soft robotics, biomedical devices, and mechanical engineering. To realize a scale transition from small molecules to a mechanical structure with excellent SMP behaviour, investigators typically need both material design and constitutive model establishment. Traditionally, the design of SMPs relies on empirical methods, limiting the speed of discovery and property tuning. Moreover, the prediction of their behaviour generally depends on theoretical and numerical tools that, however, require an in-depth understanding of theoretical mechanics. In contrast, machine learning (ML) offers a powerful tool to possibly overcome these limitations and has increasingly drawn attention from investigators in multiple fields. In this perspective, we critically review recent advances in the application of ML techniques to SMPs. We discuss major conventional concepts in the field of SMPs, basic procedures and important approaches to ensure ML-assisted SMP design, how different ML tools have been employed to identify new SMP chemistries and to predict their thermo-mechanical and shape memory properties. Despite these successful advancements, ML-assisted SMP discovery and thermo-mechanical modelling remain at an early stage. We discuss how they are limited, e.g., by incomplete structural representations and challenges in integrating thermal and temporal effects into the neural network. Finally, we outline future directions to explore and implement, including developing tools to capture complex SMP topologies and creating polymer-specific neural networks. The discussion allows us to provide new insights into the use of ML tools for the world of SMPs.

形状记忆聚合物(SMPs)是一类在软机器人、生物医学设备和机械工程等领域具有巨大潜力的刺激响应材料。为了实现从小分子到具有优异SMP行为的机械结构的尺度转变,研究人员通常需要材料设计和本构模型建立。传统上,smp的设计依赖于经验方法,限制了发现和属性调整的速度。此外,对它们行为的预测通常依赖于理论和数值工具,然而,这需要对理论力学有深入的了解。相比之下,机器学习(ML)提供了一个强大的工具来克服这些限制,并越来越多地引起了多个领域研究人员的关注。从这个角度来看,我们批判性地回顾了ML技术在smp中应用的最新进展。我们讨论了SMP领域的主要传统概念,确保ML辅助SMP设计的基本程序和重要方法,以及如何使用不同的ML工具来识别新的SMP化学物质并预测其热机械和形状记忆特性。尽管取得了这些成功的进展,但ml辅助的SMP发现和热力学建模仍处于早期阶段。我们讨论了它们是如何受到限制的,例如,不完整的结构表征以及将热效应和时间效应集成到神经网络中的挑战。最后,我们概述了未来探索和实施的方向,包括开发工具来捕获复杂的SMP拓扑和创建聚合物特定的神经网络。讨论使我们能够对smp世界中ML工具的使用提供新的见解。
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引用次数: 0
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Soft Matter
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