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Hazarika MP, Bordoloi P, Tripathi A, Chakraborty SN. Understanding crystallization and amorphization in liquid Ti cooled at different rates: A molecular dynamics simulation study. J Chem Phys 2024; 161:234503. [PMID: 39692497 DOI: 10.1063/5.0241054] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/28/2024] [Accepted: 12/04/2024] [Indexed: 12/19/2024] Open
Abstract
Crystallization and amorphization are important processes and different cooling rates cause these transitions. Obtaining pure metals from their molten state is a challenge unless these two are well understood. Here we study both these transitions in liquid Ti using molecular dynamics simulations wherein Ti is modeled with embedded atom potential. At 1 bar, Ti crystal is melted and then cooled from 2200 to 300 K with cooling rates of 0.1, 1, and 10 K/ps. When cooled at 0.1 and 1 K/ps, molten Ti crystallizes to bcc phase between 1100 and 1000 K, and when cooled at 10 K/ps, it amorphizes between these temperatures. From radial distribution functions and Voronoi tessellation, we observe that liquid to bcc transition takes place through short range distorted hcp/bcc-like structures already present in it. Relaxation dynamics is studied using velocity-autocorrelation functions (VACFs), intermediate scattering function, and dynamic structure factor. For all cooling rates, relaxations in VACFs increase with cooling. However, correlations in them are stronger when the system is cooled at 10 K/ps. Relaxation times decrease and increase between 1100 and 1000 K for crystallization and amorphization, respectively, thereafter they increase again with further cooling. The dynamic structure factor shows stronger damping in thermal diffusive motion when systems are cooled at 0.1 and 1 K/ps and vibration peaks shift to higher frequencies when crystallization take place. Our findings support Binder's [K. Binder, Proc. Natl. Acad. Sci. U. S. A. 111, 9374 (2014)] argument that if we cool the system faster than the minimum time needed for the liquid to relax, it will amorphize. This also prevents the growth of pre-ordered domains in it to establish long-range order.
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Affiliation(s)
| | - Puja Bordoloi
- Department of Chemistry, Sikkim University, Gangtok 737102, India
| | - Ajay Tripathi
- Department of Physics, Sikkim University, Gangtok 737102, India
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2
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Guidolin C, Rio E, Cerbino R, Salonen A, Giavazzi F. Anomalous relaxation of coarsening foams with viscoelastic continuous phases. SOFT MATTER 2024; 20:7021-7029. [PMID: 39171748 DOI: 10.1039/d4sm00588k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/23/2024]
Abstract
We investigate the ultraslow structural relaxation of ageing foams with rheologically tunable continuous phases. We probe the bubble dynamics associated with pressure-driven foam coarsening using differential dynamic microscopy, which allows characterising the sample dynamics in reciprocal space with imaging experiments. Similar to other out-of-equilibrium jammed soft systems, these foams exhibit compressed exponential relaxations, with a ballistic-like linear dependency of the relaxation rate on the scattering wavevector. By tuning the rheology of the continuous phase, we observe changes in the relaxation shape, where stiffer matrices yield larger compression exponents. Our results corroborate recent real-space observations obtained using bubble tracking, providing a comprehensive overview of structural relaxation in these complex systems, both in direct and reciprocal space.
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Affiliation(s)
- Chiara Guidolin
- Department of Medical Biotechnology and Translational Medicine, University of Milan, Segrate, Italy.
| | - Emmanuelle Rio
- Laboratoire de Physique des Solides, Université Paris-Saclay, CNRS, Orsay, France
| | | | - Anniina Salonen
- Laboratoire de Physique des Solides, Université Paris-Saclay, CNRS, Orsay, France
| | - Fabio Giavazzi
- Department of Medical Biotechnology and Translational Medicine, University of Milan, Segrate, Italy.
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3
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Zhang X, Lou H, Ruta B, Chushkin Y, Zontone F, Li S, Xu D, Liang T, Zeng Z, Mao HK, Zeng Q. Pressure-induced nonmonotonic cross-over of steady relaxation dynamics in a metallic glass. Proc Natl Acad Sci U S A 2023; 120:e2302281120. [PMID: 37276419 PMCID: PMC10268294 DOI: 10.1073/pnas.2302281120] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2023] [Accepted: 05/14/2023] [Indexed: 06/07/2023] Open
Abstract
Relaxation dynamics, as a key to understand glass formation and glassy properties, remains an elusive and challenging issue in condensed matter physics. In this work, in situ high-pressure synchrotron high-energy X-ray photon correlation spectroscopy has been developed to probe the atomic-scale relaxation dynamics of a cerium-based metallic glass during compression. Although the sample density continuously increases, the collective atomic motion initially slows down as generally expected and then counterintuitively accelerates with further compression (density increase), showing an unusual nonmonotonic pressure-induced steady relaxation dynamics cross-over at ~3 GPa. Furthermore, by combining in situ high-pressure synchrotron X-ray diffraction, the relaxation dynamics anomaly is evidenced to closely correlate with the dramatic changes in local atomic structures during compression, rather than monotonically scaling with either sample density or overall stress level. These findings could provide insight into relaxation dynamics and their relationship with local atomic structures of glasses.
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Affiliation(s)
- Xin Zhang
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
| | - Hongbo Lou
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
| | - Beatrice Ruta
- Université Lyon, Université Claude Bernard Lyon 1, Centre national de la recherche scientifique, Institut Lumière Matière, Campus LyonTech–La Doua, LyonF-69622, France
| | - Yuriy Chushkin
- European Synchrotron Radiation Facility-The European Synchrotron, GrenobleCS 40220, 38043, France
| | - Federico Zontone
- European Synchrotron Radiation Facility-The European Synchrotron, GrenobleCS 40220, 38043, France
| | - Shubin Li
- Université Lyon, Université Claude Bernard Lyon 1, Centre national de la recherche scientifique, Institut Lumière Matière, Campus LyonTech–La Doua, LyonF-69622, France
| | - Dazhe Xu
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
| | - Tao Liang
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
| | - Zhidan Zeng
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
| | - Ho-kwang Mao
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
- Shanghai Key Laboratory of Material Frontiers Research in Extreme Environments, Shanghai Advanced Research in Physical Sciences, Shanghai201203, China
| | - Qiaoshi Zeng
- Center for High Pressure Science and Technology Advanced Research, Shanghai201203, China
- Shanghai Key Laboratory of Material Frontiers Research in Extreme Environments, Shanghai Advanced Research in Physical Sciences, Shanghai201203, China
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Elastic and Dynamic Heterogeneity in Aging Alginate Gels. Polymers (Basel) 2021; 13:polym13213618. [PMID: 34771174 PMCID: PMC8587450 DOI: 10.3390/polym13213618] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2021] [Revised: 10/13/2021] [Accepted: 10/15/2021] [Indexed: 11/16/2022] Open
Abstract
Anomalous aging in soft glassy materials has generated a great deal of interest because of some intriguing features of the underlying relaxation process, including the emergence of "ultra-long-range" dynamical correlations. An intriguing possibility is that such a huge correlation length is reflected in detectable ensemble fluctuations of the macroscopic material properties. We tackle this issue by performing replicated mechanical and dynamic light scattering (DLS) experiments on alginate gels, which recently emerged as a good model-system of anomalous aging. Here we show that some of the monitored quantities display wide variability, including large fluctuations in the stress relaxation and the occasional presence of two-step decay in the DLS decorrelation functions. By quantifying elastic fluctuation through the standard deviation of the elastic modulus and dynamic heterogeneities through the dynamic susceptibility, we find that both quantities do increase with the gel age over a comparable range. Our results suggest that large elastic fluctuations are closely related to ultra-long-range dynamical correlation, and therefore may be a general feature of anomalous aging in gels.
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Cho JH, Bischofberger I. Two modes of cluster dynamics govern the viscoelasticity of colloidal gels. Phys Rev E 2021; 103:032609. [PMID: 33862797 DOI: 10.1103/physreve.103.032609] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2020] [Accepted: 03/05/2021] [Indexed: 11/07/2022]
Abstract
Colloidal gels formed by strongly attractive particles at low particle volume fractions are composed of space-spanning networks of uniformly sized clusters. We study the thermal fluctuations of the clusters using differential dynamic microscopy by decomposing them into two modes of dynamics, and link them to the macroscopic viscoelasticity via rheometry. The first mode, dominant at early times, represents the localized, elastic fluctuations of individual clusters. The second mode, pronounced at late times, reflects the collective, viscoelastic dynamics facilitated by the connectivity of the clusters. By mixing two types of particles of distinct attraction strengths in different proportions, we control the transition time at which the collective mode starts to dominate, and hence tune the frequency dependence of the linear viscoelastic moduli of the binary gels.
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Affiliation(s)
- Jae Hyung Cho
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Irmgard Bischofberger
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Nigro V, Ruzicka B, Ruta B, Zontone F, Bertoldo M, Buratti E, Angelini R. Relaxation Dynamics, Softness, and Fragility of Microgels with Interpenetrated Polymer Networks. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b01560] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Valentina Nigro
- Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR), sede Sapienza, Pz.le Aldo Moro 5, I-00185 Roma, Italy
- Dipartimento di Fisica, Sapienza Università di Roma, I-00185 Roma, Italy
| | - Barbara Ruzicka
- Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR), sede Sapienza, Pz.le Aldo Moro 5, I-00185 Roma, Italy
- Dipartimento di Fisica, Sapienza Università di Roma, I-00185 Roma, Italy
| | - Beatrice Ruta
- France Univ Lyon, Universitè Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, 69100 Villeurbanne, France
- ESRF The European Synchrotron, CS40220, 38043 Grenoble Cedex 9, France
| | - Federico Zontone
- ESRF The European Synchrotron, CS40220, 38043 Grenoble Cedex 9, France
| | - Monica Bertoldo
- Istituto per la Sintesi Organica e la Fotoreattività del Consiglio Nazionale delle Ricerche (ISOF-CNR), via P. Gobetti
101, 40129 Bologna, Italy
| | - Elena Buratti
- Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR), sede Sapienza, Pz.le Aldo Moro 5, I-00185 Roma, Italy
| | - Roberta Angelini
- Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR), sede Sapienza, Pz.le Aldo Moro 5, I-00185 Roma, Italy
- Dipartimento di Fisica, Sapienza Università di Roma, I-00185 Roma, Italy
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Pastore R, Siviello C, Greco F, Larobina D. Anomalous Aging and Stress Relaxation in Macromolecular Physical Gels: The Case of Strontium Alginate. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b01953] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Raffaele Pastore
- Dipartimento di Ingegneria Chimica dei Materiali e della Produzione Industriale, Università di Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy
| | - Ciro Siviello
- Institute for Polymers, Composites, and Biomaterials, National Research Council of Italy, P.le E. Fermi 1, 80055 Portici, NA, Italy
| | - Francesco Greco
- Dipartimento di Ingegneria Chimica dei Materiali e della Produzione Industriale, Università di Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy
| | - Domenico Larobina
- Institute for Polymers, Composites, and Biomaterials, National Research Council of Italy, P.le E. Fermi 1, 80055 Portici, NA, Italy
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8
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Filiberti Z, Piazza R, Buzzaccaro S. Multiscale relaxation in aging colloidal gels: From localized plastic events to system-spanning quakes. Phys Rev E 2019; 100:042607. [PMID: 31770945 DOI: 10.1103/physreve.100.042607] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2018] [Indexed: 06/10/2023]
Abstract
Relaxation of internal stresses through a cascade of microscopic restructuring events is the hallmark of many materials, ranging from amorphous solids like glasses and gels to geological structures subjected to a persistent external load. By means of photon correlation imaging, a recently developed technique that blends the powers of scattering and imaging, we provide a spatially and temporally resolved survey of the restructuring and aging processes that spontaneously occur in physical gels originating from an arrested phase separation. We show that the temporal dynamics is characterized by an intermittent sequence of spatially localized "microquakes" that eventually lead to global rearrangements occurring at a rate that scales with the gel age. Notably, these dramatic upheavals of the gel structure are heralded by a progressive acceleration of the microscopic gel dynamics that originates from recognizable active spots and then spreads at a large but finite speed through the gel. Within the "slack" phase between two of these "macroquakes," the fluctuations of the degree of temporal correlation obey a non-Gaussian statistics described by a generalized logistic distribution. The evidence we obtained bear consistent analogies with the stress relaxation processes taking place in earthquake sequences and with the intermittent restructuring of plastic crystals at the microscale.
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Affiliation(s)
- Zeno Filiberti
- Department of Chemistry, Materials Science, and Chemical Engineering (CMIC), Politecnico di Milano, Edificio 6, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
| | - Roberto Piazza
- Department of Chemistry, Materials Science, and Chemical Engineering (CMIC), Politecnico di Milano, Edificio 6, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
| | - Stefano Buzzaccaro
- Department of Chemistry, Materials Science, and Chemical Engineering (CMIC), Politecnico di Milano, Edificio 6, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
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9
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Rao A, Divoux T, McKinley GH, Hart AJ. Shear melting and recovery of crosslinkable cellulose nanocrystal-polymer gels. SOFT MATTER 2019; 15:4401-4412. [PMID: 31095139 DOI: 10.1039/c8sm02647e] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/20/2023]
Abstract
Cellulose nanocrystals (CNC) are naturally-derived nanostructures of growing importance for the production of composites having attractive mechanical properties, and offer improved sustainability over purely petroleum-based alternatives. Fabrication of CNC composites typically involves extrusion of CNC suspensions and gels in a variety of solvents, in the presence of additives such as polymers and curing agents. Most studies so far have focused on aqueous CNC gels, yet the behavior of CNC-polymer gels in organic solvents is important to their wider processability. Here, we study the rheological behavior of composite polymer-CNC gels in dimethylformamide, which include additives for both UV and thermal crosslinking. Using rheometry coupled with in situ infrared spectroscopy, we show that under external shear, CNC-polymer gels display progressive and irreversible failure of the hydrogen bond network that is responsible for their pronounced elastic properties. In the absence of cross-linking additives, the polymer-CNC gels show an instantaneous but partial recovery of their viscoelasticity upon cessation of flow, whereas, the presence of additives allows the gels to recover over much longer timescale via van der Waals interactions. By exploring a broad range of shear history and CNC concentrations, we construct master curves for the temporal evolution of the viscoelastic properties of the polymer-CNC gels, illustrating universality of the observed dynamics with respect to gel composition and flow conditions. We find that polymer-CNC composite gels display a number of the distinctive features of colloidal glasses and, strikingly, that their response to the flow conditions encountered during processing can be tuned by chemical additives. These findings have implications for processing of dense CNC-polymer composites in solvent casting, 3D printing, and other manufacturing techniques.
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Affiliation(s)
- Abhinav Rao
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
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10
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Tsurusawa H, Leocmach M, Russo J, Tanaka H. Direct link between mechanical stability in gels and percolation of isostatic particles. SCIENCE ADVANCES 2019; 5:eaav6090. [PMID: 31172025 PMCID: PMC6544450 DOI: 10.1126/sciadv.aav6090] [Citation(s) in RCA: 51] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/03/2018] [Accepted: 04/23/2019] [Indexed: 05/28/2023]
Abstract
Colloidal gels have unique mechanical and transport properties that stem from their bicontinuous nature, in which a colloidal network is intertwined with a viscous solvent, and have found numerous applications in foods, cosmetics, and construction materials and for medical applications, such as cartilage replacements. So far, our understanding of the process of colloidal gelation is limited to long-time dynamical effects, where gelation is viewed as a phase separation process interrupted by the glass transition. However, this purely out-of-equilibrium thermodynamic picture does not address the emergence of mechanical stability. With confocal microscopy experiments, we reveal that mechanical metastability is reached only after isotropic percolation of locally isostatic environments, establishing a direct link between the load-bearing ability of gels and the isostaticity condition. Our work suggests an operative description of gels based on mechanical equilibrium and isostaticity, providing the physical basis for the stability and rheology of these materials.
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Affiliation(s)
- Hideyo Tsurusawa
- Department of Fundamental Engineering, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
| | - Mathieu Leocmach
- Université de Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - John Russo
- Department of Fundamental Engineering, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
- School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
| | - Hajime Tanaka
- Department of Fundamental Engineering, Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
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11
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Lüttich M, Giordano VM, Le Floch S, Pineda E, Zontone F, Luo Y, Samwer K, Ruta B. Anti-Aging in Ultrastable Metallic Glasses. PHYSICAL REVIEW LETTERS 2018; 120:135504. [PMID: 29694174 DOI: 10.1103/physrevlett.120.135504] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/2017] [Revised: 02/22/2018] [Indexed: 06/08/2023]
Abstract
As ultrastable metallic glasses (UMGs) are promising candidates to solve the stability issues of conventional metallic glasses, their study is of exceptional interest. By means of x-ray photon correlation spectroscopy, we have investigated the stability of UMGs at the atomic level. We find a clear signature of ultrastability at the atomic level that results in slower relaxation dynamics of UMGs with respect to conventional (rapidly quenched) metallic glasses, and in a peculiar acceleration of the dynamics by near T_{g} annealing. This surprising phenomenon, called here anti-aging, can be understood in the framework of the potential energy landscape. For all samples, the structural relaxation process can be described with a highly compressed shape of the density fluctuations, unaffected by thermal treatments and regardless of the ultrastability of the glass.
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Affiliation(s)
- Martin Lüttich
- I. Physikalisches Institut, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
- ESRF-The European Synchrotron, CS 40220, 38043 Grenoble Cedex 9, France
| | - Valentina M Giordano
- Univ Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - Sylvie Le Floch
- Univ Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
| | - Eloi Pineda
- Department of Physics, Universitat Politècnica de Catalunya-BarcelonaTech, Esteve Terradas 8, Castelldefels 08860, Spain
| | - Federico Zontone
- ESRF-The European Synchrotron, CS 40220, 38043 Grenoble Cedex 9, France
| | - Yuansu Luo
- I. Physikalisches Institut, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
| | - Konrad Samwer
- I. Physikalisches Institut, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
| | - Beatrice Ruta
- ESRF-The European Synchrotron, CS 40220, 38043 Grenoble Cedex 9, France
- Univ Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, F-69622 Villeurbanne, France
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Ruta B, Pineda E, Evenson Z. Relaxation processes and physical aging in metallic glasses. JOURNAL OF PHYSICS: CONDENSED MATTER 2017; 29:503002. [PMID: 0 DOI: 10.1088/1361-648x/aa9964] [Citation(s) in RCA: 29] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
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13
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Bouzid M, Colombo J, Barbosa LV, Del Gado E. Elastically driven intermittent microscopic dynamics in soft solids. Nat Commun 2017. [PMID: 28635964 PMCID: PMC5482056 DOI: 10.1038/ncomms15846] [Citation(s) in RCA: 57] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022] Open
Abstract
Soft solids with tunable mechanical response are at the core of new material technologies, but a crucial limit for applications is their progressive aging over time, which dramatically affects their functionalities. The generally accepted paradigm is that such aging is gradual and its origin is in slower than exponential microscopic dynamics, akin to the ones in supercooled liquids or glasses. Nevertheless, time- and space-resolved measurements have provided contrasting evidence: dynamics faster than exponential, intermittency and abrupt structural changes. Here we use 3D computer simulations of a microscopic model to reveal that the timescales governing stress relaxation, respectively, through thermal fluctuations and elastic recovery are key for the aging dynamics. When thermal fluctuations are too weak, stress heterogeneities frozen-in upon solidification can still partially relax through elastically driven fluctuations. Such fluctuations are intermittent, because of strong correlations that persist over the timescale of experiments or simulations, leading to faster than exponential dynamics.
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Affiliation(s)
- Mehdi Bouzid
- Department of Physics, Institute for Soft Matter Synthesis and Metrology, Georgetown University, 37th and O Streets, N.W., Washington District Of Columbia 20057, USA
| | - Jader Colombo
- Department of Physics, Institute for Soft Matter Synthesis and Metrology, Georgetown University, 37th and O Streets, N.W., Washington District Of Columbia 20057, USA
| | - Lucas Vieira Barbosa
- Department of Physics, Institute for Soft Matter Synthesis and Metrology, Georgetown University, 37th and O Streets, N.W., Washington District Of Columbia 20057, USA.,CAPES Foundation, Ministry of Education of Brazil, Brasilia - DF 70.040-020, Brazil
| | - Emanuela Del Gado
- Department of Physics, Institute for Soft Matter Synthesis and Metrology, Georgetown University, 37th and O Streets, N.W., Washington District Of Columbia 20057, USA
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