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Glassy dynamics in a confluent monolayer is indispensable in morphogenesis, wound healing, bronchial asthma, and many others; a detailed theoretical framework for such a system is, therefore, important. Vertex model (VM) simulations have…

Soft Condensed Matter · Physics 2021-06-16 Souvik Sadhukhan , Saroj Kumar Nandi

We report on the low temperature behaviour of the colloidal electrolyte by means of Molecular Dynamics simulations, where the electrostatic interactions were modeled using effective screened interactions. As in previous works, we have found…

Soft Condensed Matter · Physics 2009-11-13 Jose B. Caballero , Antonio M. Puertas

Kinetic facilitated models and the Mode Coupling Theory (MCT) model B are within those systems known to exhibit a discontinuous dynamical transition with a two step relaxation. We consider a general scaling approach, within mean field…

Statistical Mechanics · Physics 2016-05-26 Antonio de Candia , Annalisa Fierro , Antonio Coniglio

We utilize the generalized entropy theory (GET) of glass formation to address one of the most singular and least understood properties of polymer glass-forming liquids in comparison to atomic and small molecule liquids -- the often…

Soft Condensed Matter · Physics 2024-12-30 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We formulate and solve a model of dynamical arrest in colloids. A particle is coupled to the bath of statistically identical particles. The dynamics is described by Langevin equation with stochastic external force described by telegraphic…

Statistical Mechanics · Physics 2007-05-23 Frantisek Slanina , Petr Chvosta

We present numerical results for the tagged-particle dynamics by solving the mode-coupling theory in confined geometry for colloidal liquids (cMCT). We show that neither the microscopic dynamics nor the type of intermediate scattering…

Soft Condensed Matter · Physics 2021-10-29 Gerhard Jung , Lukas Schrack , Thomas Franosch

Preparing an integrable system in a mixed state described by a thermal density matrix , we subject it to a sudden quench and explore the subsequent unitary dynamics. Defining a version of the generalised Loschmidt overlap amplitude (GLOA)…

Statistical Mechanics · Physics 2017-11-29 Utso Bhattacharya , Souvik Bandopadhyay , Amit Dutta

We consider the Mode Coupling Theory (MCT) of Glass transition for a Binary fluid. The Equations of Nonlinear Fluctuating Hydrodynamics are obtained with a proper choice of the slow variables corresponding to the conservation laws. The…

Statistical Mechanics · Physics 2009-11-07 Upendra Harbola , Shankar P. Das

The idealized mode coupling theory (MCT) is applied to colloidal systems interacting via short-range attractive interactions of Yukawa form. At low temperatures MCT predicts a slowing down of the local dynamics and ergodicity breaking…

Soft Condensed Matter · Physics 2009-10-31 J. Bergenholtz , M. Fuchs

The lack of clarity of various mode-coupling theory (MCT) approximations, even in equilibrium,makes it hard to understand the relation between various MCT approaches for sheared steady states as well as their regime of validity. Here we try…

Soft Condensed Matter · Physics 2016-05-20 Saroj Kumar Nandi

We derive a $c-$number Generalised Langevin Equation (GLE) describing the evolution of the expectation values $\left\langle x_{i}\right\rangle_{t}$ of the atomic position operators $x_{i}$ of an open system. The latter is coupled linearly…

Statistical Mechanics · Physics 2016-11-15 L. Kantorovich , H. Ness , L. Stella , C. Lorenz

The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known…

Probability · Mathematics 2017-11-03 Scott A McKinley , Hung D Nguyen

The two functional forms, D~1/tau and D~T/tau, are usually adopted as the variants of the Stokes-Einstein relation; where D is the diffusion constant, tau the relaxation time and T the temperature. The self-consistent generalized Langevin…

Soft Condensed Matter · Physics 2023-03-09 Wanmei Zhang , Wenhan Zhang , Gan Ren

The colloidal gel and glass transitions are investigated using the idealized mode coupling theory (MCT) for model systems characterized by short-range attractive interactions. Results are presented for the adhesive hard sphere and hard core…

Soft Condensed Matter · Physics 2009-10-31 J. Bergenholtz , M. Fuchs

We describe a model for the colloidal glass transition that is based on Feynman's theory for the $\lambda$-transition in liquid helium. Our model essentially counts the number of configurations of dynamic loops, strings or clusters of…

Soft Condensed Matter · Physics 2017-12-19 V. Prasad

We present experimental evidence that the effective medium approximation (EMA), developed by D.C. Morse [Phys. Rev. E {\bf 63}, 031502, (2001)], provides the correct scaling law of the macroscopic plateau modulus…

Soft Condensed Matter · Physics 2009-11-13 Manlio Tassieri , R. M. L. Evans , Lucian Barbu-Tudoran , G. Nasir Khan , John Trinick , Tom A. Waigh

The dynamics of confined glassforming liquids is discussed on the basis of the recent extension of the mode coupling theory for the liquid-glass transition to the model of the quenched-annealed binary mixture. It is in particular shown…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Krakoviack

Motivated by recent experimental findings in chemical synthesis of colloidal particles, we draw an analogy between self-assembly processes occurring in biological systems (e.g. protein folding) and a new exciting possibility in the field of…

Soft Condensed Matter · Physics 2018-02-14 Achille Giacometti

The mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a…

Statistical Mechanics · Physics 2010-10-01 Ludovic Berthier , Gilles Tarjus

In this chapter, a study of the glass transitions in colloidal systems is presented, in connection with gelation, mainly from theoretical and simulation results. Mode Coupling Theory, which anticipated the existence of attraction driven…

Soft Condensed Matter · Physics 2008-10-06 Antonio M. Puertas , Matthias Fuchs
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