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The study of systems with multiple (not necessarily degenerate) metastable states presents subtle difficulties from the mathematical point of view related to the variational problem that has to be solved in these cases. We introduce the…

Mathematical Physics · Physics 2013-03-18 Emilio N. M. Cirillo , Francesca R. Nardi

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern by the compact local configuration space rather than real…

Computational Physics · Physics 2019-09-04 Paul Cazeaux , Mitchell Luskin , Daniel Massatt

We perform molecular-dynamics simulations of a molecular system in supercooled states for different values of inertia parameters to provide evidence that the long-time dynamics depends only on the equilibrium structure. This observation is…

Soft Condensed Matter · Physics 2009-11-10 S. -H. Chong , F. Sciortino

The nature may be disclosed that the glass transition is only determined by the intrinsic 8 orders of instant 2-D mosaic geometric structures, without any presupposition and relevant parameter. An interface excited state on the geometric…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jialin Wu

A new master equation to mimic the dynamics of a collection of interacting random walkers in an open system is proposed and solved numerically.In this model, the random walkers interact through excluded volume interaction (single-file…

Soft Condensed Matter · Physics 2007-05-23 Prasanth P Jose , Biman Bagchi

Many problems in physics, material sciences, chemistry and biology can be abstractly formulated as a system that navigates over a complex energy landscape of high or infinite dimensions. Well-known examples include phase transitions of…

Numerical Analysis · Mathematics 2025-10-20 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

The equilibrium free energy landscape of off-lattice model heteropolymers as a function of an internal coordinate, namely the end-to-end distance, is reconstructed from out-of-equilibrium steered molecular dynamics data. This task is…

Statistical Mechanics · Physics 2008-09-17 Stefano Luccioli , Alberto Imparato , Alessandro Torcini

The dynamics of two 12-monomer heteropolymers on the square lattice is studied exactly within the master equation approach. The time evolution of the occupancy of the native state is determined. At low temperatures, the median folding time…

Statistical Mechanics · Physics 2009-09-25 Marek Cieplak , Malte Henkel , Jayanth R. Banavar

In order to better understand the occurrence of phase transitions, we adopt an approach based on the study of energy landscapes: The relation between stationary points of the potential energy landscape of a classical many-particle system…

Statistical Mechanics · Physics 2009-03-24 Michael Kastner

The magnetic relaxation and hysteresis of a system of single domain particles with dipolar interactions are studied by Monte Carlo simulations. We model the system by a chain of Heisenberg classical spins with randomly oriented easy-axis…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

We analyze the structure of the energy landscape of a well-relaxed 1000-atom model of amorphous silicon using the activation-relaxation technique (ART nouveau). Generating more than 40,000 events starting from a single minimum, we find that…

Materials Science · Physics 2009-11-10 Francis Valiquette , Normand Mousseau

The potential energy landscape in the Kob-Andersen Lennard-Jones binary mixture model has been studied carefully from liquid down to the supercooled regime, from T =2 down to T =0.46. One thousand of independent configurations along the…

Disordered Systems and Neural Networks · Physics 2016-08-31 M. Sampoli , P. Benassi , R. Eramo , L. Angelani , G. Ruocco

Various methods achieving importance sampling in ensembles of nonequilibrium trajectories enable to estimate free energy differences and, by maximum-likelihood post-processing, to reconstruct free energy landscapes. Here, based on Bayes…

Statistical Mechanics · Physics 2010-07-02 Manuel Athènes , Mihai-Cosmin Marinica

We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom interacting through collisions with a background ideal gas. When either…

Quantum Physics · Physics 2010-10-27 Andrea Smirne , Bassano Vacchini

Molecular dynamics calculations of the vibrational behavior of atoms in a Lennard-Jones 147-atom cluster revealed that the relaxation and the stability of the collective vibration of atoms in the cluster depend on the extent of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 Chang Q. Sun

The aging dynamics of a simple model glass is numerically investigated observing how it takes place in the potential energy landscape $V$. Partitioning the landscape in basins of minima of $|\nabla V|^2$, we are able to elucidate some…

Soft Condensed Matter · Physics 2017-08-23 R. Di Leonardo , L. Angelani , G. Parisi , G. Ruocco , A. Scala , F. Sciortino

Isomorphs are lines in the density-temperature plane of certain "strongly-correlating" or "Roskilde simple" liquids where two-point structure and dynamics have been shown to be close to identical up to a scale transformation. Here we…

Soft Condensed Matter · Physics 2013-12-25 Alex Malins , Jens Eggers , C. Patrick Royall

A quantum mechanical treatment of an asymmetric double-well potential (DWP) interacting with a heat bath is presented for circumstances where the contribution of higher vibrational levels to the relaxation dynamics cannot be excluded from…

Condensed Matter · Physics 2009-10-28 P. Neu , A. Heuer

We conduct molecular dynamics simulations of the collision of atomic clusters with a weakly-attractive surface. We focus on an intermediate regime, between soft-landing and fragmentation, where the cluster undergoes deformation on impact…

Other Condensed Matter · Physics 2007-09-29 A. Awasthi , S. C. Hendy , P. Zoontjens , S. A. Brown , F. Natali
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