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V-T theory is constructed in the many-body Hamiltonian formulation, and differs at the foundation from current liquid dynamics theories. In V-T theory the liquid atomic motion consists of two contributions, normal mode vibrations in a…

Statistical Mechanics · Physics 2016-05-04 Duane C. Wallace , Giulia De Lorenzi-Venneri , Eric D. Chisolm

In V-T theory the atomic motion is harmonic vibrations in a liquid-specific potential energy valley, plus transits, which move the system rapidly among the multitude of such valleys. In its first application to the self intermediate…

Statistical Mechanics · Physics 2017-01-04 Duane C. Wallace , Eric D. Chisolm , Giulia De Lorenzi-Venneri

In applying Vibration-Transit (V-T) theory of liquid dynamics to the thermodynamic properties of monatomic liquids, the point has been reached where an improved model is needed for the small (approx. 10%) transit contribution. Toward this…

Soft Condensed Matter · Physics 2010-04-22 Duane C. Wallace , Eric D. Chisolm , N. Bock , G. De Lorenzi-Venneri

In the original formulation of vibration-transit (V-T) theory for monatomic liquid dynamics, the transit contribution to entropy was taken to be a universal constant, calibrated to the constant-volume entropy of melting. This model suffers…

Other Condensed Matter · Physics 2010-10-11 Duane C. Wallace , Eric D. Chisolm , Nicolas Bock

Within the framework of V-T theory of monatomic liquid dynamics, an exact equation is derived for a general equilibrium time correlation function. The purely vibrational contribution to such a function expresses the system's motion in one…

Soft Condensed Matter · Physics 2007-05-23 Eric D. Chisolm , Giulia De Lorenzi-Venneri , Duane C. Wallace

The first goal of Vibration-Transit (V-T) theory was to construct a tractable approximate Hamiltonian from which the equilibrium thermodynamic properties of monatomic liquids can be calculated. The Hamiltonian for vibrations in an…

Soft Condensed Matter · Physics 2007-05-23 Giulia DeLorenzi-Venneri , Duane Wallace

A new theoretical model for self dynamic response is developed using Vibration-Transit (V-T) theory, and is applied to liquid sodium at all wavevectors q from the hydrodynamic regime to the free particle limit. In this theory the…

Soft Condensed Matter · Physics 2009-11-13 Giulia De Lorenzi-Venneri , Eric D. Chisolm , Duane C. Wallace

We present a model for the motion of an average atom in a liquid or supercooled liquid state and apply it to calculations of the velocity autocorrelation function $Z(t)$ and diffusion coefficient $D$. The model trajectory consists of…

Statistical Mechanics · Physics 2009-10-31 Eric D. Chisolm , Brad E. Clements , Duane C. Wallace

We consider for a monatomic liquid the density and current autocorrelation functions from the point of view of the Vibration-Transit (V-T) theory of liquid dynamics. We also consider their Fourier transforms, one of which is measured by…

Statistical Mechanics · Physics 2007-05-23 Eric D. Chisolm , Giulia De Lorenzi-Venneri , Duane C. Wallace

We examine the distinct part of the density autocorrelation function Fd(q,t), also called the intermediate scattering function, from the point of view of the vibration-transit (V-T) theory of monatomic liquid dynamics. A similar study has…

Statistical Mechanics · Physics 2014-09-12 Duane C. Wallace , Eric D. Chisolm , Giulia De Lorenzi-Venneri

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann

The mean-square displacement (MSD) was measured by neutron scattering at various temperatures and pressures for a number of molecular glass-forming liquids. The MSD is invariant along the glass-transition line at the pressure studied, thus…

Soft Condensed Matter · Physics 2012-03-27 K. Niss , C. Dalle-Ferrier , B. Frick , D. Russo , J. Dyre , C. Alba-Simionesco

We report a molecular dynamics (MD) study of the collective dynamics of a simple monatomic liquid -interacting through a two body potential that mimics that of lithium- across the liquid-glass transition. In the glassy phase we find…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Scopigno , G. Ruocco , F. Sette , G. Viliani

A recent description of the motion of atoms in a classical monatomic system in liquid and supercooled liquid states divides the motion into two parts: oscillations within a given many-particle potential valley, and transit motion which…

Statistical Mechanics · Physics 2007-05-23 Eric D. Chisolm , Duane C. Wallace

The Brillouin peak appears in the dynamic structure factor S(q,w), and the dispersion curve is the Brillouin peak frequency as function of q. The theoretical function underlying S(q,w) is the density autocorrelation function F(q,t). A…

Materials Science · Physics 2007-05-23 Duane C. Wallace , Giulia De Lorenzi-Venneri , Eric D. Chisolm

In conventional glassformers at sufficiently short times and low enough temperatures, molecules are mutually caged by the intermolecular potential. The fluctuation and dissipation from motion of caged molecules when observed by elastic…

Soft Condensed Matter · Physics 2011-06-30 K. L. Ngai , S. Capaccioli , A. Paciaroni

We present a theory of the dynamics of monatomic liquids built on two basic ideas: (1) The potential surface of the liquid contains three classes of intersecting nearly-harmonic valleys, one of which (the ``random'' class) vastly outnumbers…

Statistical Mechanics · Physics 2009-11-10 Eric D. Chisolm , Duane C. Wallace

Experimental studies of the glassy slowdown in molecular liquids indicate that the high-temperature activation energy $E_{\infty}$ of glass-forming liquids is directly related to their glass transition temperature $T_{\text{g}}$. To further…

Soft Condensed Matter · Physics 2021-03-02 L. Hecht , R. Horstmann , B. Liebchen , M. Vogel

A molecular dynamics simulation is performed for a supercooled liquid of rigid diatomic molecules. The time-dependent self and collective density correlators of the molecular centers of mass are determined and compared with the predictions…

Statistical Mechanics · Physics 2009-10-30 Stefan Kammerer , Walter Kob , Rolf Schilling

A kinetic Monte Carlo (KMC) method is used to study the structural properties and dynamics of a supercooled binary Lennard-Jones liquid around the glass transition temperature. This technique permits us to explore the potential energy…

Soft Condensed Matter · Physics 2015-06-24 Javier Hernandez-Rojas , David J. Wales
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