Effective forces in thermal amorphous solids with generic interactions.

@article{Parisi2019EffectiveFI,
  title={Effective forces in thermal amorphous solids with generic interactions.},
  author={Giorgio Parisi and Itamar Procaccia and Carmel Shor and Jacques Zylberg},
  journal={Physical review. E},
  year={2019},
  volume={99 1-1},
  pages={
          011001
        }
}
In thermal glasses at temperatures sufficiently lower than the glass transition, the constituent particles are trapped in their cages for a sufficiently long time such that their time-averaged positions can be determined before diffusion and structural relaxation takes place. The effective forces are those that hold these average positions in place. In numerical simulations the effective forces F_{ij} between any pair of particles can be measured as a time average of the bare forces f_{ij}(r_… Expand
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References

SHOWING 1-10 OF 47 REFERENCES
Emergent interparticle interactions in thermal amorphous solids.
TLDR
A framework to determine the effective force laws that define an effective Hessian is introduced that can be employed to discuss stability properties and the density of states of the amorphous system. Expand
Intermolecular forces and the glass transition.
TLDR
The predicted variations in the alpha-relaxation time with temperature and density conform to the empirical density-temperature scaling relations found by Casalini and Roland, and are demonstrated to demonstrate the microscopic origin of their observations. Expand
Replica theory of the rigidity of structural glasses.
  • H. Yoshino
  • Materials Science, Medicine
  • The Journal of chemical physics
  • 2012
TLDR
With the aid of the replica method which enables disentanglement of thermal fluctuations in liquids into intra-state and inter-state fluctuations, the rigidity of metastable amorphous solid states in the supercooled liquid and glass phases is extracted. Expand
Statistical physics of elastoplastic steady states in amorphous solids: finite temperatures and strain rates.
TLDR
It is demonstrated that scaling concepts are highly relevant for the problem at hand, and a scaling theory is presented that is able to collapse the data for all the values of temperatures and strain rates, providing a high degree of predictability. Expand
Do athermal amorphous solids exist?
TLDR
It is proposed that in systems with finite range interactions in the thermodynamic limit elasticity can never be decoupled from plasticity: the nonlinear response must be very substantially plastic. Expand
How thermally activated deformation starts in metallic glass.
TLDR
It is shown that thermally activated deformation is triggered by subnano-scale rearrangements of a small number of atoms, typically less than 10 atoms, which allows a semi-quantitative construction of the potential energy landscape and brings a new perspective to the study of the mechanical properties of glasses. Expand
Glass transitions in one-, two-, three-, and four-dimensional binary Lennard-Jones systems.
TLDR
The calorimetric liquid-glass transition is investigated by performing simulations of a binary Lennard-Jones mixture in one through four dimensions and it is found that with increasing D crystallization becomes increasingly more difficult. Expand
On the rigidity of a hard-sphere glass near random close packing
We study theoretically and numerically the microscopic cause of the rigidity of hard-sphere glasses near their maximum packing. We show that, after coarse-graining over time, the hard-sphereExpand
Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture. II. Intermediate scattering function and dynamic susceptibility.
  • Kob, Andersen
  • Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
We have performed a molecular dynamics computer simulation of a supercooled binary Lennard-Jones system in order to compare the dynamical behavior of this system with the predictions of the idealizedExpand
Glasses and replicas
We review the approach to glasses based on the replica formalism. The replica approach presented here is a first principle’s approach which aims at deriving the main glass properties from theExpand
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