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Isomorphs are curves in the thermodynamic phase diagram along which structure and dynamics are invariant to a good approximation. There are two main ways to trace out isomorphs, the configurational-adiabat method and the…

Soft Condensed Matter · Physics 2023-04-21 Zahraa Sheydaafar , Jeppe C. Dyre , Thomas B. Schrøder

Computer simulations show that liquids of molecules with harmonic intramolecular bonds may have "pseudoisomorphic" lines of approximately invariant dynamics in the thermodynamic phase diagram. We demonstrate that these lines can be…

Soft Condensed Matter · Physics 2016-12-30 Andreas Elmerdahl Olsen , Jeppe C. Dyre , Thomas B. Schrøder

The previous paper [Veldhorst et al., J. Chem. Phys. 141, 054904 (2014)] demonstrated that the isomorph theory explains the scaling properties of a liquid of flexible chains consisting of ten Lennard-Jones particles connected by rigid…

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

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 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 present a numerical study of the asymmetric dumbbell model consisting of ``molecules'' constructed as two different-sized Lennard-Jones spheres connected by a rigid bond. In terms of the largest (A) particle radius, we report data for…

Soft Condensed Matter · Physics 2024-01-05 Eman Attia , Jeppe C. Dyre , Ulf R. Pedersen

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

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

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

The overall goal of this thesis is to investigate the connection between the dynamics and structure of molecular glass formers, by testing different scaling laws for both. The inspiration for this work is the Isomorph theory because it…

Soft Condensed Matter · Physics 2025-07-10 Erik Lørup

Non-equilibrium molecular dynamics simulations were performed to study the thermodynamic, structural, and dynamical properties of the single-component Lennard-Jones and the Kob-Andersen binary Lennard-Jones liquids. Both systems are known…

Soft Condensed Matter · Physics 2013-05-14 Leila Separdar , Nicholas P. Bailey , Thomas B. Schrøder , Saeid Davatolhagh , 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

Isomorph theory is one of the promising theories to understand the quasi-universal relationship between thermodynamic, dynamic and structural characteristics. Based on the hidden scale invariance of the inverse power law potentials, it…

Statistical Mechanics · Physics 2019-07-31 Tae Jun Yoon , Min Young Ha , Emanuel A. Lazar , Won Bo Lee , Youn-Woo Lee

Many liquids have curves (isomorphs) in their phase diagrams along which structure, dynamics, and some thermodynamic quantities are invariant in reduced units. A substantial part of their phase diagrams is thus effectively one dimensional.…

Soft Condensed Matter · Physics 2016-08-22 Arno A. Veldhorst , Thomas B. Schrøder , Jeppe C. Dyre

Compressing or cooling a fluid typically enhances its static interparticle correlations. However, there are notable exceptions. Isothermal compression can reduce the translational order of fluids that exhibit anomalous waterlike trends in…

Soft Condensed Matter · Physics 2008-04-11 William P. Krekelberg , Jeetain Mittal , Venkat Ganesan , Thomas M. Truskett

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

This paper studies size-polydisperse Lennard-Jones systems described by active Ornstein-Uhlenbeck particle dynamics. The focus is on the existence of isomorphs (curves of invariant structure and dynamics) in the model's three-dimensional…

Soft Condensed Matter · Physics 2024-01-05 Daniel Jespersen , Lorenzo Costigliola , Jeppe C. Dyre , Shibu Saw

This paper shows by computer simulations that some crystalline systems have curves in their thermodynamic phase diagrams, so-called isomorphs, along which structure and dynamics in reduced units are invariant to a good approximation. The…

Statistical Mechanics · Physics 2024-01-17 Dan E. Albrechtsen , Andreas E. Olsen , Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre

Recent DFT (density functional theory) simulations showed that metals have a hitherto overlooked symmetry termed "hidden scale invariance" [Hummel {\em et al.}, Phys. Rev. B {\bf{92}}, 174116 (2015)]. According to isomorph theory, this…

Materials Science · Physics 2019-03-06 Laura Friedeheim , Jeppe C. Dyre , Nicholas P. Bailey

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux
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