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This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

We simulate dynamic mechanical analysis experiments for the Kob-Andersen binary Lennard-Jones system. For this, the SLLOD algorithm with time-dependent strain rates is applied to give a sinusoidally varying strain at different densities and…

Disordered Systems and Neural Networks · Physics 2022-05-24 Kevin Moch , Nicholas P. Bailey

A liquid is termed strongly correlating if its virial and potential energy thermal equilibrium fluctuations in the NVT ensemble are more than 90% correlated [Phys. Rev. Lett. 100, 015701 (2008)]. The fluctuations of a strongly correlating…

Soft Condensed Matter · Physics 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

The isomorph theory provides an explanation for the so-called power law density scaling which has been observed in many molecular and polymeric glass formers, both experimentally and in simulations. Power law density scaling (relaxation…

Soft Condensed Matter · Physics 2014-08-11 Arno A. Veldhorst , Jeppe C. Dyre , Thomas B. Schrøder

We describe a method to determine whether a material has isomorphs in its thermodynamic phase diagram. Isomorphs are state points for which various properties are invariant in reduced units. Such materials are commonly identified from…

Soft Condensed Matter · Physics 2017-09-13 D. Fragiadakis , C. M. Roland

In recent years lines along which structure and dynamics are invariant to a good approximation, so-called isomorphs, have been identified in the thermodynamic phase diagrams of several model liquids and solids. This paper reports computer…

Soft Condensed Matter · Physics 2022-04-14 Solvej Knudsen , B. D. Todd , Jeppe C. Dyre , J. S. Hansen

On the basis of microscopic statistical mechanics of simple liquids the orientational interaction between clusters consisting of a particle and its nearest neighbors is estimated. It is shown that there are ranges of density and temperature…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. M. Chtchelkatchev , V. N. Ryzhov , T. I. Schelkacheva , E. E. Tareyeva

We study in this paper the possible existence of Roskilde-simple liquids and their isomorphs in a rough-wall nanoconfinement. Isomorphs are curves in the thermodynamic phase diagram along which structure and dynamics are invariant in…

Soft Condensed Matter · Physics 2024-01-05 Benjamin M. G. D. Carter , C. Patrick Royall , Jeppe C. Dyre , Trond S. Ingebrigtsen

We present an operational method to determine the 'locally preferred structure'' of model liquids, a notion often put forward to explain supercooling of a liquid and glass formation. The method relies on finding the global minimum in the…

Disordered Systems and Neural Networks · Physics 2011-05-05 S. Mossa , G. Tarjus

It is demonstrated by molecular dynamics simulations that liquids interacting via the Buckingham potential are strongly correlating, i.e., have regions of their phase diagram where constant-volume equilibrium fluctuations in the virial and…

Soft Condensed Matter · Physics 2012-03-27 Arno A. Veldhorst , Lasse Bøhling , Jeppe C. Dyre , Thomas B. Schrøder

We use a newly-developed method to identify local structural motifs in a popular model glassformer, the Kob-Andersen binary Lennard-Jones mixture. By measuring the lifetimes of a zoo of clusters, we find that 11-membered bicapped square…

Soft Condensed Matter · Physics 2017-02-08 Alex Malins , Jens Eggers , Hajime Tanaka , C. Patrick Royall

The theory of isomorphs is reformulated by defining Roskilde-simple systems (those with isomorphs) by the property that the order of the potential energies of configurations at one density is maintained when these are scaled uniformly to a…

Soft Condensed Matter · Physics 2017-01-04 Thomas B. Schrøder , Jeppe C. Dyre

We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system. After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential energy and virial in the NVT…

Disordered Systems and Neural Networks · Physics 2019-12-04 Yonglun Jiang , Eric R. Weeks , Nicholas P. Bailey

The invariance of several structural and dynamical properties of the Lennard-Jones (LJ) system along the freezing and melting lines is interpreted in terms of the isomorph theory. First the freezing/melting lines for LJ system are shown to…

Soft Condensed Matter · Physics 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

Isomorphs are curves in the phase diagram along which a number of static and dynamic quantities are invariant in reduced units. A liquid has good isomorphs if and only if it is strongly correlating, i.e., the equilibrium virial/potential…

Soft Condensed Matter · Physics 2012-03-27 Trond S. Ingebrigtsen , Thomas B. Schrøder , Jeppe C. Dyre

The search for local structures within a disordered medium has led to proposals of several methods for probing transient short-range symmetry in a homogeneous mono-atomic liquid. We offer a comparison of different characterizations of such…

Soft Condensed Matter · Physics 2020-05-04 Linsey Nowack , Stuart A. Rice

This paper is the fourth in a series devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids where virial and potential energy correlate better than 90% in their thermal equilibrium fluctuations…

Soft Condensed Matter · Physics 2013-01-29 Nicoletta Gnan , Thomas B. Schrøder , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

Framing the glass formation within standard statistical mechanics is an outstanding problem of condensed matter theory. To provide new insight, we investigate the structural properties of the Lennard-Jones fluid in the very-low temperature…

Statistical Mechanics · Physics 2026-02-02 Bomont Jean-Marc , Bretonnet Jean-Louis , Costa Dino , Pastore Giorgio

We investigate the variation of the driving force for crystallization of a supercooled liquid along isomorphs, curves along which structure and dynamics are invariant. The variation is weak, and can be predicted accurately for the…

Statistical Mechanics · Physics 2017-06-23 Ulf R. Pedersen , Karolina Adrjanowicz , Kristine Niss , Nicholas P. Bailey

We introduce time correlation functions between Inherent Structures (IS) of a supercooled liquid. We show that these functions are useful to relate the slowing down of the dynamics to the structure of the energy landscape near the glass…

Disordered Systems and Neural Networks · Physics 2015-06-24 Gabriel Fabricius , Daniel A. Stariolo
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