Droplet growth during vapor-liquid transition in a 2D Lennard-Jones fluid

Midya, Jiarul; Das, Subir K.

doi:10.1063/1.4973617

Cited by 9 publications

(12 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These are quenched to different sub-critical temperatures (T < T c ), where there exists coexistence of vapor phase with "liquid" or "solid"-like phases. Note that the values of T c and ρ c for this model are ≃ 0.41 and ≃ 0.37, respectively [21].…”

Section: Model and Methodsmentioning

confidence: 74%

“…In this case, the morphology consists of interconnected, percolating domains. For an off-critical quench, with ρ ≪ ρ c or ρ ≫ ρ c , on the other hand, the phase separation occurs via nucleation and growth of disconnected droplets [5,6,17,21,29] or bubbles [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…For conserved dynamics, on the other hand, non-zero values of β make the YRD bound different from the FH lower bound [39]. The value of α depends upon various features [1,4,6,16,17,21,[27][28][29], e.g., conservation of order parameter, space dimensionality, number of components of the order parameter, range of interaction among the particles, etc. In the case of phase separation in solid mixtures [1,4], there exists a reasonably unique value, viz., α = 1/3, referred to as the Lifshitz-Slyozov exponent [1,4,41], implying that α is rather insensitive to the choice of system dimension and composition.…”

Section: Introductionmentioning

confidence: 99%

“…There, for critical composition or density, ℓ(t) cannot be described by a single growth law [1,4,27]. The exponents are strongly dependent upon the proximity of the final state point to the coexistence curve [6,17,21,27,29]. In fluids, α shows strong dependence on the space dimensionality as well [43].…”

Section: Introductionmentioning

confidence: 99%

“…In connection with the latter, results are also presented on the validity of the YRD bound. These are obtained via the application of an advanced finite-size scaling technique [21,35,38]. The role of structure on the overall dynamics has been discussed following the calculations of relevant morphological quantities.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Kinetics of Domain Growth and Aging in a Two-Dimensional Off-lattice System

Midya,

Das

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we have analyzed simulation data on structure, growth and aging for nonequilibrium evolutions in the model. These data were obtained following quenches of well-equilibrated homogeneous configurations, with density close to the critical value, to various temperatures inside the miscibility gap, having vapor-"liquid" as well as vapor-"solid" coexistence. For the vapor-liquid phase separation we observe that ℓ, the average domain length, grows with time (t) as t 1/2 , a behavior that has connection with hydrodynamics. At low enough temperature, a sharp crossover of this time dependence to a much slower, temperature dependent, growth is identified within the time scale of our simulations, implying "solid"-like final state of the high density phase. This crossover is, interestingly, accompanied by strong differences in domain morphology and other structural aspects between the two situations. For aging, we have presented results for the orderparameter autocorrelation function. This quantity exhibits data-collapse with respect to ℓ/ℓw, ℓ and ℓw being the average domain lengths at times t and tw (≤ t), respectively, the latter being the age of a system. Corresponding scaling function follows a power-law decay: ∼ (ℓ/ℓw) −λ , for t ≫ tw. The decay exponent λ, for the vapor-liquid case, is accurately estimated via the application of an advanced finite-size scaling method. The obtained value is observed to satisfy a bound.

show abstract

Section: Model and Methodsmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Kinetics of Domain Growth and Aging in a Two-Dimensional Off-lattice System

Midya,

Das

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Aging phenomena during phase separation in fluids: decay of autocorrelation for vapor–liquid transitions

et al. 2019

Self Cite

View full text Add to dashboard Cite

We performed molecular dynamics simulations to study relaxation phenomena during vapor-liquid transitions in a single component Lennard-Jones system. Results from two different overall densities are presented; one in the neighborhood of the vapor branch of the coexistence curve and the other being close to the critical density. The nonequilibrium morphologies, growth mechanisms and growth laws in the two cases are vastly different. In the low density case growth occurs via diffusive coalescence of droplets in a disconnected morphology. On the other hand, the elongated structure in the higher density case grows via advective transport of particles inside the tube-like liquid domains. The objective in this work has been to identify how the decay of the orderparameter autocorrelation, an important quantity to understand aging dynamics, differs in the two cases. In the case of the disconnected morphology, we observe a very robust power-law decay, as a function of the ratio of the characteristic lengths at the observation time and at the age of the system, whereas the results for the percolating structure appear rather complex. To quantify the decay in the latter case, unlike standard method followed in a previous study, here we have performed a finite-size scaling analysis. Outcome of this analysis shows the presence of a strong preasymptotic correction, while revealing that in this case also, albeit in the asymptotic limit, the decay follows a power-law. Even though the corresponding exponents in the two cases differ drastically, this study, combined with a few recent ones, suggests that power-law behavior of this correlation function is rather universal in coarsening dynamics.

show abstract