General features of the energy landscape in Lennard-Jones like model liquids
arXiv:cond-mat/0305280 · doi:10.1063/1.1587132
Abstract
Features of the energy landscape sampled by supercooled liquids are numerically analyzed for several Lennard-Jones like model systems. The properties of quasisaddles (minima of the square gradient of potential energy W=|grad V|^2), are shown to have a direct relationship with the dynamical behavior, confirming that the quasisaddle order extrapolates to zero at the mode-coupling temperature T_MCT. The same result is obtained either analyzing all the minima of W or the saddles (absolute minima of W), supporting the conjectured similarity between quasisaddles and saddles, as far as the temperature dependence of the properties influencing the slow dynamics is concerned. We find evidence of universality in the shape of the landscape: plots for different systems superimpose into master curves, once energies and temperatures are scaled by T_MCT. This allows to establish a quantitative relationship between T_MCT and potential energy barriers for LJ-like systems, and suggests a possible generalization to different model liquids.
arXiv comment8 pages, 5 figures
References in corpus (23)
- Scaling behavior in the -relaxation regime of a supercooled Lennard-Jones mixture
- The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
- Inherent Structure Entropy of Supercooled Liquids
- Static and Dynamic Properties of a Viscous Silica Melt Molecular Dynamics Computer Simulations
- Saddles in the energy landscape probed by supercooled liquids
- Dynamics of simulated water under pressure
- Saddle Points and Dynamics of Lennard-Jones Clusters, Solids and Supercooled Liquids
- Energy landscape of a Lennard-Jones liquid: Statistics of stationary points
- Geometric approach to the dynamic glass transition
- Extension of the Fluctuation-Dissipation theorem to the physical aging of a model glass-forming liquid
- Connected Network of Minima as a Model Glass: Long Time Dynamics
- Metastable states as a key to the dynamics of supercooled liquids
- Dynamics and Configurational Entropy in the LW Model for Supercooled Orthoterphenyl
- Off-Equilibrium Effective Temperature in Monatomic Lennard-Jones Glass
- Potential Energy Landscape Equation of State
- Role of the unstable directions in the equilibrium and aging dynamics of supercooled liquids
- Quasi-saddles as relevant points of the potential energy surface in the dynamics of supercooled liquids
- Configuration space connectivity across the fragile to strong transition in silica
- The Potential Energy Landscape and Mechanisms of Diffusion in Liquids
- Comment on ``Quasisaddles as relevant points of the potential energy surface in the dynamics of supercooled liquids'' [J. Chem. Phys. 116, 10297 (2002); cond-mat/0203301]
- Potential Energy Landscape in Lennard-Jones binary mixture model
- The distance between Inherent Structures and the influence of saddles on approaching the mode coupling transition in a simple glass former
- Quasi-saddles of Liquids: Computational Study of a bulk Lennard-Jones system
Cited by in corpus (30)
- How to quantify energy landscapes of solids
- Some Further Results for the Stationary Points and Dynamics of Supercooled Liquids
- Real space origin of temperature crossovers in supercooled liquids
- Out-of-equilibrium dynamical fluctuations in glassy systems
- Dynamics and energy landscape in a tetrahedral network glass-former: Direct comparison with models of fragile liquids
- A localization transition underlies the mode-coupling crossover of glasses
- Relaxation dynamics in the energy landscape of glass-forming liquids
- Topology and phase transitions: from an exactly solvable model to a relation between topology and thermodynamics
- Understanding fragility in supercooled Lennard-Jones mixtures. II. Potential energy surface
- Fickian crossover and lengthscales from two point functions in supercooled liquids
- Non-Gaussian energy landscape of a simple model for strong network-forming liquids: accurate evaluation of the configurational entropy
- Are there localized saddles behind the heterogeneous dynamics of supercooled liquids?
- Thermodynamic-Dynamic Interrelations in Glass-Forming Polymer Fluids
- Saddles in the energy landscape: extensivity and thermodynamic formalism
- Density scaling of the diffusion coefficient at various pressures in viscous liquids
- Saddle index properties, singular topology, and its relation to thermodynamical singularities for a phi^4 mean field model
- Methods to locate Saddle Points in Complex Landscapes
- Global perspectives on the energy landscapes of liquids, supercooled liquids, and glassy systems: Geodesic pathways through the potential energy landscape
- Crossover from entropic to thermal dynamics in glassy models
- Correlation of the scaling exponent of the diffusivity-density function in viscous liquids with their elastic properties
- On the relationship between phase transitions and topological changes in one dimensional models
- Realistic Tunneling States for the Magnetic Effects in Non-Metallic Real Glasses
- Saddles and softness in simple model liquids
- Barriers, trapping times and overlaps between local minima in the dynamics of the disordered Ising -spin Model
- Dynamics and geometric properties of the k-Trigonometric model
- Time correlation functions between Inherent Structures: a connection between landscape topology and the dynamics of glassy systems
- Manipulating the Glass Transition in Nanoscale
- Relationship between Fragility, Diffusive Directions and Energy Barriers in a Supercooled Liquid
- Enhanced Vibrational Stability in Glass Droplets
- Dynamic phase diagram of the Number Partitioning Problem