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Governing equations are derived for the kinetics of physical aging in polymeric glasses. An amorphous polymer is treated as an ensemble of cooperatively rearranged regions (CRR). Any CRR is thought of as a string of elementary clusters…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov

The occurrence of glass transition is believed to be associated to cooperative motion with a growing length scale with decreasing temperature. We provide a novel route to calculate the size of cooperatively rearranging regions CRR of…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Cangialosi , A. Alegria , J. Colmenero

Constitutive equations are derived for the viscoelastoplastic response of amorphous glassy polymers at isothermal loading with small strains. A polymer is treated as an ensemble of cooperatively relaxing regions (CRR) which rearrange at…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov

In this paper we develop a theory to calculate the structural relaxation time {\tau} {\alpha} of fragile su percooled liquids. Using the information of the configurational entropy and structure we calculate the number of dynamically free,…

Soft Condensed Matter · Physics 2021-04-07 Ankit Singh , Sarika Maitra Bhattacharyya , Yashwant Singh

Among the challenges in discriminating between theoretical approaches to the glass transition is obtaining suitable data. In particular, particle--resolved data in liquids supercooled past the mode--coupling crossover has until recently…

Soft Condensed Matter · Physics 2021-03-16 Levke Ortlieb , Trond S. Ingebrigtsen , James E. Hallett , Francesco Turci , C. Patrick Royall

The effect of confinement in the segmental relaxation of polymers is considered. On the basis of a thermodynamic model we discuss the emerging relevance of the fast degrees of freedom in stimulating the much slower segmental relaxation, as…

Soft Condensed Matter · Physics 2015-05-13 Marco Pieruccini , Tiberio A. Ezquerra

On the basis of the density functional theory, we give a clear definition of the free energy landscape. To show the usefulness of the definition, we construct the free energy landscape for rearrangement of atoms in an FCC crystal of hard…

Statistical Mechanics · Physics 2009-11-11 Takashi Yoshidome , Akira Yoshimori , Takashi Odagaki

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

Conformation-dependent design of polymer sequences can be considered as a tool to control macromolecular self-assembly. We consider the monomer unit sequences created via the modification of polymers in a homogeneous melt in accordance with…

Soft Condensed Matter · Physics 2021-07-07 Elena N. Govorun , Ruslan M. Shupanov , Sophia A. Pavlenko , Alexei R. Khokhlov

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions…

Statistical Mechanics · Physics 2013-12-10 Anatolii V. Mokshin

Complex systems such as protein conformational fluctuations and supercooled liquids exhibit a long relaxation time and are considered to posses multiple relaxation times. We analytically obtain the exact correlation function for stochastic…

Soft Condensed Matter · Physics 2023-07-19 Takuma Akimoto , Eiji Yamamoto , Takashi Uneyama

We develop a theory of amorphous interfaces in glass-forming liquids. We show that the statistical properties of these surfaces, which separate regions characterized by different amorphous arrangements of particles, coincide with the ones…

Disordered Systems and Neural Networks · Physics 2017-02-08 Giulio Biroli , Chiara Cammarota

The influence of structural constraints on the relaxation dynamics of three polyurea networks with varying degree of crosslinking, has been studied by means of a thorough analysis of broadband dielectric spectroscopy measurements. Two…

Soft Condensed Matter · Physics 2018-10-03 Nerea Sebastián , Christophe Contal , Antoni Sánchez-Ferrer , Marco Pieruccini

We examine structural relaxation in a supercooled glass-forming liquid simulated by NVE molecular dynamics. Time correlations of the total kinetic energy fluctuations are used as a comprehensive measure of the system's approach to the…

Soft Condensed Matter · Physics 2009-05-20 M. Elenius , M. Dzugutov

Structural organization and correlations are studied in very large packings of equally sized acrylic spheres, reconstructed in three-dimensions by means of X-ray computed tomography. A novel technique, devised to analyze correlations among…

Soft Condensed Matter · Physics 2007-09-19 Tomaso Aste

This study reports a general scenario for the out-of-equilibrium features of collapsing polymeric architectures. We use molecular dynamics simulations to characterize the coarsening kinetics, in bad solvent, for several macromolecular…

Soft Condensed Matter · Physics 2019-12-10 Mariarita Paciolla , Daniel J. Arismendi-Arrieta , Angel J. Moreno

Composition fluctuations in disordered melts of symmetric diblock copolymers are studied by Monte Carlo simulation over a range of chain lengths and interaction strengths. Results are used to test three theories: (1) the random phase…

Soft Condensed Matter · Physics 2011-06-09 Jian Qin , David C. Morse

We compute the temperature-dependent barrier for alpha-relaxations in several liquids, without adjustable parameters, using experimentally determined elastic, structural, and calorimetric data. We employ the random first order…

Disordered Systems and Neural Networks · Physics 2013-10-17 Pyotr Rabochiy , Peter G. Wolynes , Vassiliy Lubchenko

We present a quantitative theory for a relaxation function in a simple glass-forming model (binary mixture of particles with different interaction parameters). It is shown that the slowing down is caused by the competition between locally…

Materials Science · Physics 2009-11-13 Edan Lerner , Itamar Procaccia

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli
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