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Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. This scaling property does not extend to the entire phase diagram, in general. The…

Soft Condensed Matter · Physics 2020-12-23 Thibaud Maimbourg , Jeppe C. Dyre , Lorenzo Costigliola

This paper is the fourth in a series exploring the physical consequences of the solidity of highly viscous liquids. It is argued that the two basic characteristics of a flow event (a jump between two energy minima in configuration space)…

Soft Condensed Matter · Physics 2007-05-23 Jeppe C. Dyre

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

Analysis of PDEs · Mathematics 2017-10-13 Hélène Mathis

Generalizing the mode-coupling theory for ideal liquid-glass transitions, equations of motion are derived for the correlation functions describing the glassy dynamics of a diatomic probe molecule immersed in a simple glass-forming system.…

Soft Condensed Matter · Physics 2009-10-31 S. -H. Chong , W. Gotze , A. P. Singh

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

Statistical Mechanics · Physics 2009-11-11 I. Kourakis , A. P. Grecos

Dynamic heterogeneity as one of the most important properties in supercooled liquids has been found for several decades. However, its structural origin remains open for many systems. Here, we propose a new structural parameter to…

Disordered Systems and Neural Networks · Physics 2015-10-16 S. P. Pan , S. D. Feng , J. W. Qiao , W. M. Wang , J. Y. Qin

The unifying feature of glass formers (such as polymers, supercooled liquids, colloids, granulars, spin glasses, superconductors, ...) is a sluggish dynamics at low temperatures. Indeed, their dynamics is so slow that thermal equilibrium is…

In the present work an attempt has been made to study the dynamics of a diatomic molecule N2 in water. The proposed model consists of Langevin stochastic differential equation whose solution is obtained through Euler's method. The proposed…

Computational Engineering, Finance, and Science · Computer Science 2010-04-27 Nitin Sharma , Madhvi Shakya

We have performed non-equilibrium dynamics simulations of a binary Lennard-Jones mixture in which an external force is applied on a single tagged particle. For the diffusive properties of this particle parallel to the force superdiffusive…

Statistical Mechanics · Physics 2015-06-11 Carsten F. E. Schroer , Andreas Heuer

We find that a Lennard-Jones mixture displays a dynamic phase transition between an active regime and an inactive one. By means of molecular dynamics simulations and of a finite-size study, we show that the space time dynamics in the…

Statistical Mechanics · Physics 2012-01-06 Estelle Pitard , Vivien Lecomte , Frédéric Van Wijland

An equilibrium theory of classical fluids based on the space distribution among the particles is derived in the framework of the energy minimization method. This study is motivated by current difficulties of evaluation of optical properties…

Statistical Mechanics · Physics 2009-11-10 R. D. Rohrmann

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 consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a director field $\mathbf{n}$ and its degree of orientation $s$,…

Numerical Analysis · Mathematics 2017-08-03 Ricardo H. Nochetto , Shawn W. Walker , Wujun Zhang

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

We use a recently proposed method [Berthier L.; Biroli G.; Bouchaud J.P.; Cipelletti L.; El Masri D.; L'Hote D.; Ladieu F.; Pierno M. Science 2005, 310, 1797.] to obtain an approximation to the 4-point dynamic correlation function from…

Soft Condensed Matter · Physics 2009-08-27 D. Fragiadakis , R. Casalini , C. M. Roland

Extending the famous Model B for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. This approach is based on a single component fluid with…

Statistical Mechanics · Physics 2023-06-21 Maryam Akaberian , Filipe C Thewes , Peter Sollich , Matthias Krüger

This paper summarizes the properties of strongly correlating liquids, i.e., liquids with strong correlations between virial and potential energy equilibrium fluctuations at constant volume. We proceed to focus on the experimental…

Soft Condensed Matter · Physics 2015-03-14 Ulf R. Pedersen , Nicoletta Gnan , Nicholas P. Bailey , Thomas B. Schröder , Jeppe C. Dyre

This paper investigates two conjectures for calculating the density dependence of the density-scaling exponent of a single-component, pair-potential liquid with strong virial potential-energy correlations. The first conjecture gives an…

Soft Condensed Matter · Physics 2014-09-23 Lasse Bøhling , Nicholas P. Bailey , Thomas B. Schrøder , Jeppe C. Dyre

We argue that different formulations of hydrodynamics are related to uncertainties in the definitions of local thermodynamic and hydrodynamic variables. We show that this ambiguity can be resolved by viewing different formulations of…

High Energy Physics - Theory · Physics 2022-06-01 Travis Dore , Lorenzo Gavassino , David Montenegro , Masoud Shokri , Giorgio Torrieri

We study equilibrium properties of polymer films and droplets on a solid substrate employing particle-based simulation techniques (Molecular Dynamics) and a continuum description. Parameter-passing techniques are explored that facilitate a…

Soft Condensed Matter · Physics 2013-03-25 Nikita Tretyakov , Marcus Müller , Desislava Todorova , Uwe Thiele
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