Relaxation Dynamics in the Energy Landscape of Glass-Forming Liquids

Nishikawa, Yoshihiko; Ozawa, Masakuni; Ikeda, Atsushi; Chaudhuri, Pinaki

doi:10.1103/physrevx.12.021001

Cited by 23 publications

(49 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The other line of research to which our work is related highlights the role of elasticity and plasticity, two mechanisms characteristic of the solid phase, in the equilibrium dynamics of super-cooled liquids. Besides the works [11,12] that we already mentioned, there is growing numerical evidence that long-range, anisotropic stress correlations emerge in isotropic quenched liquid [10,[21][22][23][24].…”

mentioning

confidence: 81%

Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids

Ozawa¹,

Biroli²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

mentioning

confidence: 81%

Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids

Ozawa¹,

Biroli²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

“…The swap Monte Carlo algorithm employs unphysical particle moves to accelerate the equilibration of supercooled liquids and can reach equilibrium states down to the experimental glass transition temperature T g or even below. This algorithmic development allowed progress regarding the analysis of structural and thermodynamic properties of liquid states [16][17][18][19][20], as well as characterisation of the glass below T g [21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Thirty milliseconds in the life of a supercooled liquid

Scalliet¹,

Guiselin²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

We combine the swap Monte Carlo algorithm to long multi-CPU molecular dynamics simulations to analyse the equilibrium relaxation dynamics of model supercooled liquids over a time window covering ten orders of magnitude for temperatures down to the experimental glass transition temperature Tg. The analysis of time correlation functions coupled to spatio-temporal resolution of particle motion allow us to elucidate the nature of the equilibrium dynamics in deeply supercooled liquids. We find that structural relaxation starts at early times in rare localised regions characterised by a waiting time distribution that develops a power law near Tg. At longer times, relaxation events accumulate with increasing probability in these regions as Tg is approached. This accumulation leads to a power-law growth of the linear extension of relaxed domains with time, with a large dynamic exponent. Past the average relaxation time, unrelaxed domains slowly shrink with time due to relaxation events happening at their boundaries. Our results provide a complete microscopic description of the particle motion responsible for key experimental signatures of glassy dynamics, from the shape and temperature evolution of relaxation spectra to the core features of dynamic heterogeneity. They also provide a microscopic basis to understand the emergence of dynamic facilitation in deeply supercooled liquids and allow us to critically reassess theoretical descriptions of the glass transition.

show abstract

“…Here, we set n = 4 and the constant values c i (i = 0, 2, 4) are chosen so that V (r) = V (r) = V (r) = 0 at the cutoff distance r cutoff = 2.5σ. With these parameters, mean-field replica theory [40,62] yields the dynamical transition temperature T d 0.5940. We show numerical data of the system with N = 1024 particles in all figures, unless the system size is explicitly mentioned.…”

Section: Model and Methodsmentioning

confidence: 99%

“…The mismatch between the isotropic soft-sphere potential and the square box in which the particles reside complicates direct sampling of A ij from the Boltzmann distribution. To deal with this complication, we use a Markov-chain Monte Carlo method with a simple Metropolis algorithm to sample A ij [62]. We perform 200 Monte Carlo sweeps per pair of particles to ensure convergence to the Boltzmann distribution, and take the last configuration of A as the random shift for the chosen particle configuration.…”

Section: Model and Methodsmentioning

confidence: 99%

Collective dynamics in a glass-former with Mari-Kurchan interactions

Nishikawa,

Ikeda,

Berthier

2022

Preprint

Self Cite

View full text Add to dashboard Cite

We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial structural motifs and the emergence of a complex free-energy landscape leading to a thermodynamic glass transition, while the finite-dimensional nature of the model prevents the existence of a mode-coupling singularity. Nevertheless, the equilibrium relaxation dynamics is shown to be in excellent agreement with simulations performed in conventional glass-formers. Averaged time-correlation functions display a phenomenology typical of supercooled liquids, including the emergence of an excess signal in relaxation spectra at intermediate frequencies. We show that this evolution is accompanied by strong signatures of collective and heterogeneous dynamics which cannot be interpreted in terms of single particle hopping and emerge from dynamic facilitation. Our study demonstrates that an off-lattice interacting particle model with extremely simple structural correlations displays quantitatively realistic glassy dynamics.

show abstract

Relaxation Dynamics in the Energy Landscape of Glass-Forming Liquids

Cited by 23 publications

References 72 publications

Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids

Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids

Thirty milliseconds in the life of a supercooled liquid

Collective dynamics in a glass-former with Mari-Kurchan interactions

Contact Info

Product

Resources

About