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Book Dynamics of Supercooled Liquids and the Glass Transition

Download or read book Dynamics of Supercooled Liquids and the Glass Transition written by Ulf Bengtzelius and published by . This book was released on 1984 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Analysis   Simulation of Dynamics in Supercooled Liquids

Download or read book Analysis Simulation of Dynamics in Supercooled Liquids written by Yael Sarah Elmatad and published by . This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of supercooled liquids and the glass transition has been debated by many scientists. Several theories have been put forth to describe the remarkable properties of this out-of-equilibrium material. Each of these theories makes specific predictions as to how the scaling of various transport properties in supercooled materials should behave. Given access to a large pool of high-quality supercooled liquid data we seek to compare these theories to one another. Moreover, we explore properties of a pair of models which are the basis for one particularly attractive theory - Chandler-Garrahan theory - and discuss the models' behavior in space-time and possible implications to the behavior of experimental supercooled liquids. Here we investigate the nature of dynamics in supercooled liquids using a two pronged approach. First we analyze the transport properties found in experiments and simulations of supercooled liquids. Then, we analyze simulation trajectories for lattice models which reproduce many of the interesting properties of supercooled liquids. In doing so, we illuminate several glass universalities, common properties of a wide variety of glass formers. By analyzing relaxation time and viscosity data for over 50 data sets and 1200 points, we find that relaxation time can be collapsed onto a single, parabolic curve. This collapse supports a theory of universal glass behavior based on facilitated models proposed by David Chandler and Juan Garrahan in 2003. We then show that the parabolic fit parameters for any particular liquid are a material property: they converge fast and are capable of predicting behavior in regions beyond the included data sets. We compare this property to other popular fitting schemes such as the Vogel-Fulcher, double exponential, and fractional exponential forms and conclude that these three forms result in parameters which are non predictive and therefore not material properties. Additionally, we examine the role of attractive forces in liquids by comparing simulations of a Lennard-Jones mixture, which contains both attractions and repulsions, with that of a Weeks-Chandler-Andersen mixture, which only retains repulsive forces. We show that within the framework of the parabolic collapse, these two liquids behave identically. This suggests that attractive forces do not play a key role in glassy dynamics. Rather, repulsive forces - as has been shown in dense liquids - play the largest contributing role in jamming systems into glassy states. We further investigate the predicted fragile-to-strong crossover in glass formers and find no compelling evidence for the crossover in bulk materials at this time. Additionally, we study ensembles of trajectories for a specific class of kinetically constrained models which reproduce the dynamic heterogeneity found in real glass formers. The one dimensional models we consider are the Fredrickson-Andersen (FA) model and the east model. These two models have been shown to behave as supercooled liquids reproducing properties such as the breakdown of the Stokes-Einstein equation relating diffusion constants and relaxation times. We use transition path sampling in the s-ensemble to bias the system into low activity regions. It has been previously shown that the FA model goes through a first-order dynamical phase transition in trajectory space. We extend this to include a slightly softened FA model, which we believe to be more representative of atomistic systems. We have determined that this first order coexistence line ends in a critical point where the surface tension between active and inactive trajectories in space-time disappears. Beyond this region as the softened FA model becomes unconstrained, the transition disappears and no phase transition is detected. Beyond simulations, these results were verified by analytical methods. This verification was achieved by mapping of soft FA model onto a model which undergoes a quantum phase transition. Beyond the FA model, we consider the softened east model. Unlike the FA model, however, the east model relaxes hierarchically and has a particular directionality. Many of the same conclusions - such as the appearance of a non-trivial critical point in space time - appear in the east model. Moreover, many of the same analytical tools can be used to determine the symmetry line that separates the active and inactive phases. However, the exact mapping of the critical point location is unknown and the location of the critical point is determined numerically. We also investigate how the inactive phase created by applying a dynamical field relaxes to the active state under no external field and find that the process appears barrierless. Lastly, we propose current and ongoing work which seeks to understand how to numerically quantify the degree to which a system is dynamically facilitated by looking at multipoint correlation functions of endured kinks. We contrast this method with previously suggested methods based on locating avalanches by testing both methods on kinetically constrained models such as the east and FA models.

Book Dynamics of Supercooled Liquids

Download or read book Dynamics of Supercooled Liquids written by Albert Chun Pan and published by . This book was released on 2005 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Relating the Dynamics of Supercooled Liquids to the Localization Properties of the Instantaneous Normal Modes

Download or read book Relating the Dynamics of Supercooled Liquids to the Localization Properties of the Instantaneous Normal Modes written by Vasile-Iulian V. Clapa and published by . This book was released on 2011 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dynamics of Supercooled Liquids and of Liquid glass Transitions

Download or read book Dynamics of Supercooled Liquids and of Liquid glass Transitions written by Ulf Bengtzelius and published by . This book was released on 1986 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dynamics in Supercooled Liquids

Download or read book Dynamics in Supercooled Liquids written by Marcus T. Cicerone and published by . This book was released on 1994 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Slow Dynamics in Supercooled Liquids

Download or read book Slow Dynamics in Supercooled Liquids written by Jianlan Wu and published by . This book was released on 2004 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, slow dynamics of supercooled liquids are investigated in the framework of the mode-coupling theory (MCT). Following the real-time generalized Langevin equation in Newtonian liquids, the dynamic Gaussian factorization scheme leads to mode-coupling (MC) closures. As an alternative approach to the projection operator technique, the matrix formalism based on the complete basis set is developed for studying dynamics in many-particle systems. In a dissipative system, the MC closures have to be obtained from irreducible memory kernels instead of standard memory kernels. The matrix formalism provides a new explanation of this preference by comparing linear and nonlinear relaxation time scales, and generalizes the irreducible memory kernel to higher orders. A simple kinetic spin model, the East model, is used to test the matrix formalism and the mode-coupling closures, where the dynamic Gaussian factorization scheme is replaced by a linear approximation due to the kinetic constraint. Next, slow dynamics in Brownian liquids is studied and generalization of MC closures is derived for both coherent and incoherent intermediate scattering functions. Predictions of nonergodic parameters for these two correlation functions in a hard-sphere colloidal suspension improve as the order of the MC closure increases. New glass-transition phenomena are revealed by applying the standard MC closure to a two-Yukawa colloidal suspension.

Book Structural Glasses and Supercooled Liquids

Download or read book Structural Glasses and Supercooled Liquids written by Peter G. Wolynes and published by John Wiley & Sons. This book was released on 2012-03-12 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from 24 global experts in diverse fields, and edited by world-recognized leaders in physical chemistry, chemical physics and biophysics, Structural Glasses and Supercooled Liquids: Theory, Experiment, and Applications presents a modern, complete survey of glassy phenomena in many systems based on firmly established characteristics of the underlying molecular motions as deduced by first principle theoretical calculations, or with direct/single-molecule experimental techniques. A well-rounded view of a variety of disordered systems where cooperative phenomena, which are epitomized by supercooled liquids, take place is provided. These systems include structural glasses and supercooled liquids, polymers, complex liquids, protein conformational dynamics, and strongly interacting electron systems with quenched/self-generated disorder. Detailed calculations and reasoned arguments closely corresponding with experimental data are included, making the book accessible to an educated non-expert reader.

Book Slow Dynamics in Supercooled Liquids

Download or read book Slow Dynamics in Supercooled Liquids written by Roberto Di Leonardo and published by . This book was released on 2002 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Molecular Dynamics Study of Supercooled Liquids in Two Dimensions

Download or read book Molecular Dynamics Study of Supercooled Liquids in Two Dimensions written by Andre Igor Mel'čuk and published by . This book was released on 1995 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Connections Between Structure and Dynamics in Model Supercooled Liquids

Download or read book Connections Between Structure and Dynamics in Model Supercooled Liquids written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We also identify a dynamical crossover at a higher temperature from these data by contrasting the relaxation behavior in the directions perpendicular and parallel to the boundary. After this work, we compare particle mobility with the position of particles deemed to be in preferred local packing arrangements. We find that the correlation between slow dynamics and the location of these locally preferred structures is highly dependent on the model investigated. Finally, we study supercooled liquids that have a fraction of particles randomly fixed in equilibrium positions. We find from annealing and rapid heating experiments on these samples behavior reminiscent of experimentally produced ultrastable glasses.

Book Supercooled Liquids

Download or read book Supercooled Liquids written by John T. Fourkas and published by . This book was released on 1997 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some of the most exciting recent work on supercooled liquids. Topics include domain models of supercooled liquids, inhomogeneity and polymorphism, and Mode-Coupling Theory and its applications. It provides in-depth coverage of supercooled water and of the connections between supercooled liquids and the conformational dynamics of proteins. The introduction includes a detailed discussion of terminology, major problems, and leading theoretical and experimental approaches.

Book Dynamics of Supercooled Liquids and Liquid Crystals

Download or read book Dynamics of Supercooled Liquids and Liquid Crystals written by Jie Li and published by . This book was released on 2006 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Molecular Dynamics Study of the Structure dynamics Relationships of Supercooled Liquids and Glasses

Download or read book A Molecular Dynamics Study of the Structure dynamics Relationships of Supercooled Liquids and Glasses written by Ryan Soklaski and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central to the field of condensed matter physics is a decades old outstanding problem in the study of glasses -- namely explaining the extreme slowing of dynamics in a liquid as it is supercooled towards the so-called glass transition. Efforts to universally describe the stretched relaxation processes and heterogeneous dynamics that characteristically develop in supercooled liquids remain divided in both their approaches and successes. Towards this end, a consensus on the role that atomic and molecular structures play in the liquid is even more tenuous. However, mounting material science research efforts have culminated to reveal that the vast diversity of metallic glass species and their properties are rooted in an equally-broad set of structural archetypes. Herein lies the motivation of this dissertation: the detailed information available regarding the structure-property relationships of metallic glasses provides a new context in which one can study the evolution of a supercooled liquid by utilizing a structural motif that is known to dominate the glass. Cu_64 Zr_36 is a binary alloy whose good glass-forming ability and simple composition makes it a canonical material to both empirical and numerical studies. Here, we perform classical molecular dynamics simulations and conduct a comprehensive analysis of the dynamical regimes of liquid Cu_64 Zr_36, while focusing on the roles played by atomic icosahedral ordering -- a structural motif which ultimately percolates the glass' structure. Large data analysis techniques are leveraged to obtain uniquely detailed structural and dynamical information in this context. In doing so, we develop the first account of the origin of icosahedral order in this alloy, revealing deep connections between this incipient structural ordering, frustration-limited domain theory, and recent important empirical findings that are relevant to the nature of metallic liquids at large. Furthermore, important dynamical landmarks such as the breakdown of the Stokes-Einstein relationship, the decoupling of particle diffusivities, and the development of general "glassy" relaxation features are found to coincide with successive manifestation of icosahedral ordering that arise as the liquid is supercooled. Remarkably, we detect critical-like features in the growth of the icosahedron network, with signatures that suggest that a liquid-liquid phase transition may occur in the deeply supercooled regime to precede glass formation. Such a transition is predicted to occur in many supercooled liquids, although explicit evidence of this phenomenon in realistic systems is scarce. Ultimately this work concludes that icosahedral order characterizes all dynamical regimes of Cu_64 Zr_36, demonstrating the importance and utility of studying supercooled liquids in the context of locally-preferred structure. More broadly, it serves to confirm and inform recent theoretical and empirical findings that are central to understanding the physics underlying the glass transition

Book Statistical Physics of Liquids at Freezing and Beyond

Download or read book Statistical Physics of Liquids at Freezing and Beyond written by Shankar Prasad Das and published by Cambridge University Press. This book was released on 2011-06-16 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring important theories for understanding freezing and the liquid-glass transition, this book is useful for graduate students and researchers in soft-condensed matter physics, chemical physics and materials science. It details recent ideas and key developments, providing an up-to-date view of current understanding. The standard tools of statistical physics for the dense liquid state are covered. The freezing transition is described from the classical density functional approach. Classical nucleation theory as well as applications of density functional methods for nucleation of crystals from the melt are discussed, and compared to results from computer simulation of simple systems. Discussions of supercooled liquids form a major part of the book. Theories of slow dynamics and the dynamical heterogeneities of the glassy state are presented, as well as nonequilibrium dynamics and thermodynamic phase transitions at deep supercooling. Mathematical treatments are given in full detail so readers can learn the basic techniques.

Book The Dynamic Properties of Supercooled Liquids

Download or read book The Dynamic Properties of Supercooled Liquids written by Gilroy Harrison and published by . This book was released on 1976 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary: 2000 feature film, directed by Tom Tykwer. This film follows Sissi, who is a nurse in a psychiatric hospital. On her way to the bank to do a favour for a friend, she is run over by a truck. A young drifter, Bodo Riemer saves her life by performing a DIY tracheotomy and then vanishes as he is wanted by the police for robbery. Sissi makes a full recovery and becomes determined to find her saviour. In German with English subtitles.