4.6 Article

Dynamic heterogeneity in two-dimensional supercooled liquids: comparison of bond-breaking and bond-orientational correlations

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2016/07/074008

Keywords

dynamical heterogeneities; slow relaxation; glassy dynamics; aging

Funding

  1. NSF [CHE 1213401]

Ask authors/readers for more resources

We compare the spatial correlations of bond-breaking events and bond-orientational relaxation in a model two-dimensional liquid undergoing Newtonian dynamics. We find that the relaxation time of the bond-breaking correlation function is much longer than the relaxation time of the bond-orientational correlation function and self-intermediate scattering function. However, the relaxation time of the bond-orientational correlation function increases faster with decreasing temperature than the relaxation time of the bond-breaking correlation function and the self-intermediate scattering function. Moreover, the dynamic correlation length that characterizes the size of correlated bond-orientational relaxation grows faster with decreasing temperature than the dynamic correlation length that characterizes the size of correlated bond-breaking events. We also examine the ensemble-dependent and ensemble-independent dynamic susceptibilities for both bond-breaking correlations and bond-orientational correlations. We find that for both correlations, the ensemble-dependent and ensemble-independent susceptibilities exhibit a maximum at nearly the same time, and this maximum occurs at a time slightly shorter than the peak position of the dynamic correlation length.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Mechanics

Theory for the single-particle dynamics in glassy mixtures with particle size swaps

Grzegorz Szamel

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2019)

Article Physics, Multidisciplinary

Long-ranged velocity correlations in dense systems of self-propelled particles

Grzegorz Szamel, Elijah Flenner

Summary: Model systems of self-propelled particles replicate phenomena observed in laboratory active matter systems that challenge our thermal equilibrium-based intuition. Studies have shown that different particles in self-propelled systems exhibit non-trivial equal-time correlations, which are absent in equilibrium systems. Furthermore, researchers have found that the range of velocity correlations increases with increasing persistence time of self-propulsion.
Article Chemistry, Physical

The Einstein effective temperature can predict the tagged active particle density

Alireza Shakerpoor, Elijah Flenner, Grzegorz Szamel

Summary: Researchers derived a distribution function for the position of a tagged active particle in a system of interacting active particles, revealing a new effective temperature that is determined by the ratio of self-diffusion and tagged particle mobility coefficients.

JOURNAL OF CHEMICAL PHYSICS (2021)

Article Chemistry, Physical

An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids

Grzegorz Szamel

Summary: In this study, an alternative theory for the relaxation of density fluctuations in glass-forming fluids is proposed. By deriving a local-in-time equation of motion for the density correlation function, the significance of the Franz-Parisi free energy functional for the evolution of the density correlation function is identified.

JOURNAL OF CHEMICAL PHYSICS (2022)

Article Chemistry, Physical

Microscopic analysis of sound attenuation in low-temperature amorphous solids reveals quantitative importance of non-affine effects

Grzegorz Szamel, Elijah Flenner

Summary: In this study, we analyze sound attenuation starting directly from the microscopic equations of motion and derive an exact expression for the zero-temperature sound damping coefficient. We verify that the sound damping coefficients calculated from our expression agree very well with results from independent simulations of sound attenuation. Small wavevector analysis shows that sound attenuation is primarily determined by the non-affine displacements' contribution to the sound wave propagation coefficient coming from the frequency shell of the sound wave.

JOURNAL OF CHEMICAL PHYSICS (2022)

Article Chemistry, Physical

Scaling of the non-phononic spectrum of two-dimensional glasses

Lijin Wang, Grzegorz Szamel, Elijah Flenner

Summary: The density of states for two-dimensional glasses exhibits different system-size scaling depending on the number of particles. For systems with fewer than 100 particles, the density of states scales with the system size as if all the modes were plane-wave-like. However, for systems with more than 100 particles, the cumulative density of states below the first transverse sound mode frequency shows a different system-size dependence, suggesting quasi-localized modes. In addition, the cumulative density of states scales with the frequency as a power law with an exponent that leads to β = 3.5 for the density of states.

JOURNAL OF CHEMICAL PHYSICS (2023)

Article Physics, Fluids & Plasmas

Elastic constants of zero-temperature amorphous solids

Grzegorz Szamel

Summary: This passage discusses the elastic constants of zero-temperature amorphous solids, which are calculated by subtracting a correction term from the Born term. The correction term represents the nonaffine deformation of the solid at the microscopic level. The derived alternative expressions for the elastic constants are non-negative and can be used in approximate theories for sound damping and elastic constants in zero-temperature amorphous solids.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Single active particle in a harmonic potential: Question about the existence of the Jarzynski relation

Grzegorz Szamel

Summary: The interest in active matter stimulates the need to generalize thermodynamic description and relations to active matter systems. One important example is the Jarzynski relation, which is not generally valid for processes connecting stationary states of active matter systems, as shown using a simple model system.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Dynamics of liquids in the large-dimensional limit

Chen Liu, Giulio Biroli, David R. Reichman, Grzegorz Szamel

Summary: This paper analytically derives the exact closed dynamical equations for liquids with short-ranged interactions in large spatial dimensions using statistical mechanics tools. It simplifies the path-integral-based route to these equations and provides insight into high-dimensional liquids and glass formation. The construction also offers a means to analyze related dynamical problems accurately and devise cluster generalizations of the exact solution in infinite dimensions, opening the door to constructing increasingly accurate theories of vitrification in three-dimensional liquids.

PHYSICAL REVIEW E (2021)

Article Physics, Fluids & Plasmas

Interplay between percolation and glassiness in the random Lorentz gas

Giulio Biroli, Patrick Charbonneau, Eric Corwin, Yi Hu, Harukuni Ikeda, Grzegorz Szamel, Francesco Zamponi

Summary: The random Lorentz gas (RLG) is a minimal model that demonstrates continuous localization transition in heterogeneous media and is also used to describe the discontinuous dynamical transition of glasses. In high-dimensional space, the caging transition in RLG precedes and prevents the percolation transition, while activated processes can destroy the glass transition in finite dimensions.

PHYSICAL REVIEW E (2021)

Article Physics, Fluids & Plasmas

Active matter: Quantifying the departure from equilibrium

Elijah Flenner, Grzegorz Szamel

PHYSICAL REVIEW E (2020)

Article Chemistry, Physical

Sound attenuation in finite-temperature stable glasses

Lijin Wang, Grzegorz Szamel, Elijah Flenner

SOFT MATTER (2020)

Article Chemistry, Physical

Energy transport in glasses

Elijah Flenner, Lijin Wang, Grzegorz Szamel

SOFT MATTER (2020)

Article Chemistry, Physical

Stability dependence of local structural heterogeneities of stable amorphous solids

Alireza Shakerpoor, Elijah Flenner, Grzegorz Szamel

SOFT MATTER (2020)

No Data Available