arXiv: Soft Condensed Matter最新文献

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Symmetry break in the eight bubble compaction 八泡压实对称性破缺
arXiv: Soft Condensed Matter Pub Date : 2020-07-30 DOI: 10.3934/MINE.2022010
G. Bevilacqua
{"title":"Symmetry break in the eight bubble compaction","authors":"G. Bevilacqua","doi":"10.3934/MINE.2022010","DOIUrl":"https://doi.org/10.3934/MINE.2022010","url":null,"abstract":"Geometry and mechanics have both a relevant role in determining the three-dimensional packing of 8 bubbles displyaed in a foam structure. We assume that the spatial arrangement of bubbles obeys a geometrical principle maximizing the minimum mutual distance between the bubble centroids. The compacted structure is then obtained by radially packing the bubbles under constraint of volume conservation. We generate a polygonal tiling on the central sphere and peripheral bubbles with both flat and curved interfaces. We verify that the obtained polyhedra is optimal under suitable physical criteria. Finally, we enforce the mechanical balance imposing the constraint of conservation of volume. We find an anisotropy in the distribution of the field of forces: surface tensions of bubble-bubble interfaces with normal oriented in the circumferential direction of bubbles aggregate are larger than the ones with normal unit vector pointing radially out of the aggregate. We suggest that this mechanical cue is key for the symmetry break of this bubbles configuration.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81142666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Model of the dynamics of an interface between a smectic phase and an isotropic phase of different density 不同密度的同晶相和各向同性相界面的动力学模型
arXiv: Soft Condensed Matter Pub Date : 2020-07-30 DOI: 10.1103/PhysRevFluids.5.073302
Eduardo Vitral, P. Leo, J. Viñals
{"title":"Model of the dynamics of an interface between a smectic phase and an isotropic phase of different density","authors":"Eduardo Vitral, P. Leo, J. Viñals","doi":"10.1103/PhysRevFluids.5.073302","DOIUrl":"https://doi.org/10.1103/PhysRevFluids.5.073302","url":null,"abstract":"Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is the case in smectic films under thermal treatment, where focal conics can be reshaped into conical pyramids and concentric ring structures. We build on earlier research on a smectic-isotropic, two phase configuration in which diffusive evolution of the interface was driven by curvature, while mass transport was neglected. Here, we explicitly consider evaporation-condensation processes in a smectic phase with mass transport through a coexisting isotropic fluid phase, as well as the hydrodynamic stresses at the interface and the resulting flows. By employing the Coleman-Noll procedure, we derive a phase-field model that accounts for a varying density field coupled to smectic layering of the order parameter. The resulting equations govern the evolution of an interface between a modulated phase and an isotropic fluid phase with distinct densities, and they capture compressibility effects in the interfacial region and topological transitions. We first verify a numerical implementation of the governing equations by examining the dispersion relation for interfacial transverse modes. The inverse decay rate is shown to scale as $Q^{2}$ ($Q$ is the wavenumber of the perturbation) due to hydrodynamic effects, instead of the $Q^{4}$ expected for diffusive decay. Then, by integrating the equations forward in time, we investigate fluid flow on distorted layers and focal conics, and show how interfacial stresses and density contrast significantly determine the structure of the flow and the evolution of the configuration.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85028083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Multiscale simulation of a polymer melt flow between two coaxial cylinders under nonisothermal conditions 非等温条件下两同轴圆柱体间聚合物熔体流动的多尺度模拟
arXiv: Soft Condensed Matter Pub Date : 2020-07-29 DOI: 10.3934/mine.2021042
Y. Hamada, Takeshi Sato, T. Taniguchi
{"title":"Multiscale simulation of a polymer melt flow between two coaxial cylinders under nonisothermal conditions","authors":"Y. Hamada, Takeshi Sato, T. Taniguchi","doi":"10.3934/mine.2021042","DOIUrl":"https://doi.org/10.3934/mine.2021042","url":null,"abstract":"We successfully extend a multiscale simulation (MSS) method to nonisothermal well-entangled polymer melt flows between two coaxial cylinders. In the multiscale simulation, the macroscopic flow system is connected to a number of microscopic systems through the velocity gradient tensor, stress tensor and temperature. At the macroscopic level, in addition to the momentum balance equation, we consider the energy balance equation, where heat generation plays an important role not only in the temperature distribution but also in the flow profile. At the microscopic level, a dual slip-link model is employed for well-entangled polymers. To incorporate the temperature effect into the microscopic systems, we used the time-temperature superposition rule for the slip-link model, in which the temperature dependence of the parameters is not known; on the other hand, the way to take into account the temperature effect in the macroscopic equations has been well established. We find that the extended multiscale simulation method is quite effective in revealing the relation between nonisothermal polymeric flows for both steady and transient cases and the microscopic states of polymer chains expressed by primitive paths and slip-links. It is also found that the temperature-dependent reptation-time-based Weissenberg number is a suitable measure for understanding the extent of the polymer chain deformation in the range of the shear rate used in this study.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81586564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Yielding and bifurcated aging in nanofibrillar networks 纳米纤维网络的屈服和分叉老化
arXiv: Soft Condensed Matter Pub Date : 2020-07-24 DOI: 10.1103/physrevmaterials.4.102601
R. Poling-Skutvik, Eóin McEvoy, V. Shenoy, C. Osuji
{"title":"Yielding and bifurcated aging in nanofibrillar networks","authors":"R. Poling-Skutvik, Eóin McEvoy, V. Shenoy, C. Osuji","doi":"10.1103/physrevmaterials.4.102601","DOIUrl":"https://doi.org/10.1103/physrevmaterials.4.102601","url":null,"abstract":"The yielding of disordered materials is a complex transition involving significant changes of the material's microstructure and dynamics. After yielding, many soft materials recover their quiescent properties over time as they age. There remains, however, a lack of understanding of the nature of this recovery. Here, we elucidate the mechanisms by which fibrillar networks restore their ability to support stress after yielding. Crucially, we observe that the aging response bifurcates around a critical stress $sigma_mathrm{c}$, which is equivalent to the material yield stress. After an initial yielding event, fibrillar networks subsequently yield faster and at lower magnitudes of stress. For stresses $sigma sigma_mathrm{c}$, the yield time instead plateaus at a finite value because the developed network density is insufficient to support the applied stress. We quantitatively relate the yielding and aging behavior of the network to the competition between stress-induced disentanglement and dynamic fluctuations of the fibrils rebuilding the network. The bifurcation in the material response around $sigma_c$ provides a new possibility to more rigorously localize the yield stress in disordered materials with time-dependent behavior.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91019512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Proteinlike dynamical transition of hydrated polymer chains 水合聚合物链的类蛋白质动态转变
arXiv: Soft Condensed Matter Pub Date : 2020-07-23 DOI: 10.1103/PHYSREVRESEARCH.3.013191
L. Tavagnacco, M. Zanatta, E. Buratti, B. Rosi, B. Frick, F. Natali, J. Ollivier, E. Chiessi, M. Bertoldo, E. Zaccarelli, A. Orecchini
{"title":"Proteinlike dynamical transition of hydrated polymer chains","authors":"L. Tavagnacco, M. Zanatta, E. Buratti, B. Rosi, B. Frick, F. Natali, J. Ollivier, E. Chiessi, M. Bertoldo, E. Zaccarelli, A. Orecchini","doi":"10.1103/PHYSREVRESEARCH.3.013191","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.3.013191","url":null,"abstract":"Combining elastic incoherent neutron scattering experiments at different resolutions and molecular dynamics simulations, we report the observation of a protein-like dynamical transition in Poly(N-isopropylacrylamide) chains. We identify the onset of the transition at a temperature Td of about 225~K. Thanks to a novel global fit procedure, we find quantitative agreement between measured and calculated polymer mean-squared displacements at all temperatures and time resolutions. Our results confirm the generality of the dynamical transition in macromolecular systems in aqueous environments, independently of the internal polymer topology.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"58 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82084920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Activity-controlled clogging and unclogging of microchannels 活动控制的微通道堵塞和疏通
arXiv: Soft Condensed Matter Pub Date : 2020-07-22 DOI: 10.1103/physrevresearch.2.043359
L. Caprini, F. Cecconi, C. Maggi, U. Marconi
{"title":"Activity-controlled clogging and unclogging of microchannels","authors":"L. Caprini, F. Cecconi, C. Maggi, U. Marconi","doi":"10.1103/physrevresearch.2.043359","DOIUrl":"https://doi.org/10.1103/physrevresearch.2.043359","url":null,"abstract":"We propose a mechanism to control the formation of stable obstructions in two-dimensional micro-channels of variable sections taking advantage of the peculiar clustering property of active systems. Under the activation of the self-propulsion by external stimuli, the system behaves as a switch according to the following principle: by turning-on the self-propulsion the particles become active and even at very low densities stick to the walls and form growing layers eventually blocking the channel bottleneck, while the obstruction dissolves when the self-propulsion is turned off. We construct the phase diagram distinguishing clogged and open states in terms of density and bottleneck width. The study of the average clogging time, as a function of density and bottleneck width, reveals the marked efficiency of the active clogging that swiftly responds to the self-propulsion turning on. The resulting picture shows a profound difference with respect to the clogging obtained through the slow diffusive dynamics of attractive passive Brownian disks. This numerical work suggests a novel method to use particles with externally tunable self-propulsion to create or destroy plugs in micro-channels.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73537753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The weakly nonlinear response and nonaffine interpretation of the Johnson–Segalman/Gordon–Schowalter model Johnson-Segalman / Gordon-Schowalter模型的弱非线性响应和非仿射解释
arXiv: Soft Condensed Matter Pub Date : 2020-07-16 DOI: 10.1122/8.0000122
Nabil Ramlawi, N. A. Bharadwaj, R. Ewoldt
{"title":"The weakly nonlinear response and nonaffine interpretation of the Johnson–Segalman/Gordon–Schowalter model","authors":"Nabil Ramlawi, N. A. Bharadwaj, R. Ewoldt","doi":"10.1122/8.0000122","DOIUrl":"https://doi.org/10.1122/8.0000122","url":null,"abstract":"We derive new analytical solutions for the non-affine Johnson-Segalman/Gordon-Schowalter (JS/GS) constitutive equation with a general relaxation kernel in medium-amplitude oscillatory shear (MAOS) deformation. The results show time-strain separable (TSS) nonlinearity, therefore providing new physically-meaningful interpretation to the heuristic TSS nonlinear parameter in MAOS (Martinetti & Ewoldt Phys. Fl. (2019)). The upper-convected, lower-convected, and corotational Maxwell models are all subsets of the results presented here. The model assumes that the microscale elements causing stress in the material slip compared to the continuum deformation. We introduce a visualization of the non-affine deformation field that acts on stress-generating elements to reinforce the physical interpretation of the JS/GS class of models. Finally, a case study is presented where previously published results, from fitting TSS models to MAOS data, can be re-interpreted based on the concept of non-affine motion of the JS/GS framework.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86566553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential 具有软核势的稀惯性悬浮液的两步不连续剪切增厚
arXiv: Soft Condensed Matter Pub Date : 2020-07-15 DOI: 10.7566/JPSJ.89.084803
Shuichi Sugimoto, S. Takada
{"title":"Two-Step Discontinuous Shear Thickening of Dilute Inertial Suspensions Having Soft-Core Potential","authors":"Shuichi Sugimoto, S. Takada","doi":"10.7566/JPSJ.89.084803","DOIUrl":"https://doi.org/10.7566/JPSJ.89.084803","url":null,"abstract":"Kinetic theory for dilute inertial suspension having soft-core potential is theoretically investigated. From the analysis of the scattering process, the expression of the scattering angle is analytically obtained. We derive the flow curve between the viscosity and the shear rate, which shows two-step discontinuous shear thickening when we change the softness of the particles. The molecular dynamics simulation shows that our theoretical results are consistent with the numerical ones.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81632739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Percus–Yevick structure factors made simple percusyevick结构因素使之简单
arXiv: Soft Condensed Matter Pub Date : 2020-07-14 DOI: 10.1107/s1600576720014041
R. Botet, Sylvie Kwok, B. Cabane
{"title":"Percus–Yevick structure factors made simple","authors":"R. Botet, Sylvie Kwok, B. Cabane","doi":"10.1107/s1600576720014041","DOIUrl":"https://doi.org/10.1107/s1600576720014041","url":null,"abstract":"Measuring the structure factor, S(q), of a dispersion of particles by Small-Angle X-ray Scattering provides a unique method to investigate the spatial arrangement of colloidal particles. However, it is impossible to find the exact location of the particles from S(q) because some information is inherently lacking in the SAXS signal. The two standard ways to analyse an experimental structure factor are then to compare it either to structure factors computed from simulated systems, or to analytical structure factors calculated from approximated systems. For liquids of monodisperse hard spheres, the latter method provides analytical structure factors through the Ornstein-Zernike equation used with the Percus-Yevick closure equation. The structure factors obtained in this way were not adequate for the more common dispersions of polydisperse particles. However, Vrij, Bloom and Stell were able to demonstrate that the same mathematical framework could be extended to yield accurate approximations for the experimental structure factor. Still, this solution has remained underused because of its mathematical complexity. In the present work, we derive and report the complete Percus-Yevick solution for general polydisperse hard-spheres systems in a concise form that is straightforward to use. The form of the solution is made simple enough to give ready solutions of several important particle-radius distributions (Schulz, truncated normal and inverse Gaussian). We also discuss in detail the case of the power-law radius distribution, relevant in the case of systems made of an Apollonian packing of spheres, as recently discovered experimentally in high internal-phase-ratio emulsions.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74263991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Nanometer-Scale-Resolution Multichannel Separation of Spherical Particles in a Rocking Ratchet with Increasing Barrier Heights 增加势垒高度的摇摆棘轮中球形颗粒的纳米尺度分辨率多通道分离
arXiv: Soft Condensed Matter Pub Date : 2020-07-08 DOI: 10.1103/PHYSREVAPPLIED.15.034006
Philippe M. Nicollier, C. Schwemmer, F. Ruggeri, D. Widmer, Xiaoyu Ma, A. Knoll
{"title":"Nanometer-Scale-Resolution Multichannel Separation of Spherical Particles in a Rocking Ratchet with Increasing Barrier Heights","authors":"Philippe M. Nicollier, C. Schwemmer, F. Ruggeri, D. Widmer, Xiaoyu Ma, A. Knoll","doi":"10.1103/PHYSREVAPPLIED.15.034006","DOIUrl":"https://doi.org/10.1103/PHYSREVAPPLIED.15.034006","url":null,"abstract":"We present a nanoparticle size-separation device based on a nanofluidic rocking Brownian motor. It features a ratchet-shaped electrostatic particle potential with increasing barrier heights along the particle transport direction. The sharp drop of the particle current with barrier height is exploited to separate a particle suspension into multiple sub-populations. By solving the Fokker--Planck equation, we show that the physics of the separation mechanism is governed by the energy landscape under forward tilt of the ratchet. For a given device geometry and sorting duration, the applied force is thus the only tunable parameter to increase the separation resolution. For the experimental conditions of 3.5 V applied voltage and 20 s sorting, we predict a separation resolution of $sim 2$ nm, supported by experimental data for separating spherical gold particles of nominal 80 and 100 nm diameters.","PeriodicalId":8472,"journal":{"name":"arXiv: Soft Condensed Matter","volume":"111 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88044630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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