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

Roy, Sutapa; Bera, Arabinda; Majumder, Suman; Das, Subir K.

doi:10.1039/c9sm00366e

Cited by 11 publications

(27 citation statements)

References 76 publications

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“…The deviations from the exponential-like behavior, at n / n 0 = n d , after certain times, are primarily because of PD, that includes the effects of lockdown, and this fact is analogous to the appearance of the finite-size effects [15, 38]. In a standard phase transition problem, the characteristic length at the departure of a quantity from the thermodynamic limit behavior, i.e., the length at the onset of finite-size effects, is proportional to the system size [38, 42, 43]. Thus, instead of the actual size N / n 0 of the system, here one can work with n d , value of which is country specific.…”

Section: Resultsmentioning

confidence: 99%

“…Similar analyses [37, 38, 42, 43] have been performed for quantifying the singularities in the nonequilibrium domain. The current problem is more closely related to this.…”

Section: Modelmentioning

confidence: 99%

“…Here we present results on the spread of COVID-19 [5, 7, 25-34], by applying one such model to the real data [5]. The model can have general applicability in the studies of epidemic and is related to the finite-size scaling [8,9,[35][36][37][38][39][40][41][42][43], a technique used in numerical [9,44,45] studies to identify universality in phase transitional anomalies [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]46]. The motivation behind the choice is more clearly sketched below.…”

Section: Introductionmentioning

confidence: 99%

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Spread of COVID-19: Investigation of universal features in real data

Das

2020

Preprint

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We present results on the existence of various common patterns in the growth of the total number of patients affected by COVID-19, a disease acquired through infection by a novel coronavirus, in different countries. For this purpose we propose a scaling model that can have general applicability in the understanding of real data of epidemics. This is analogous to the finite-size scaling, a technique used in the literature of phase transition to identify universality classes. In the disease model, the size of a system is proportional to the volume of the population, within a geographical region, that have been infected at the death of the epidemic or are eventually going to be infected when an epidemic ends. Outcome of our study, for COVID-19, via application of this model, suggests that in most of the countries, after the `onset' of spread, the growths are described by rapid exponential function, for significantly long periods. In addition to accurately identifying this superuniversal feature, we point out that the model is helpful in grouping countries into universality classes, based on the late time behavior, characterized by physical distancing practices, in a natural way. This feature of the model can provide direct comparative understanding of the effectiveness of lockdown-like social measures adopted in different places.

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Section: Resultsmentioning

confidence: 99%

“…Similar analyses [37, 38, 42, 43] have been performed for quantifying the singularities in the nonequilibrium domain. The current problem is more closely related to this.…”

Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spread of COVID-19: Investigation of universal features in real data

Das

2020

Preprint

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“…Furthermore, in an evolving system the time translation invariance is violated, implying different relaxation rates when probed by starting from different waiting times (t w ) or ages of the system. Such aging property [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] is often investigated via the two time order-parameter autocorrelation function [6] C ag (t, t w ) = ψ( r, t w )ψ( r, t) − ψ( r, t w ) ψ( r, t) , (5) with t > t w . Despite different decay rates for different t w , C ag (t, t w ) in many systems exhibits the scaling property [7] C ag (t, t w ) ∼ (ℓ/ℓ w ) −λ ,…”

Section: Introductionmentioning

confidence: 99%

Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point

Das,

Vadakkayil,

Das

2020

Preprint

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Via Monte Carlo simulations we study nonequilibrium dynamics in the nearest-neighbor Ising model, following quenches to points inside the ordered region of the phase diagram. With the broad objective of quantifying the nonequilibrium universality classes corresponding to spatially correlated and uncorrelated initial configurations, in this paper we present results for the decay of the orderparameter autocorrelation function for quenches from the critical point. This autocorrelation is an important probe for the aging dynamics in far-from-equilibrium systems and typically exhibits power-law scaling. From the state-of-the-art analysis of the simulation results we quantify the corresponding exponents (λ) for both conserved and nonconserved (order parameter) dynamics of the model, in space dimension d = 3. Via structural analysis we demonstrate that the exponents satisfy a bound. We also revisit the d = 2 case to obtain more accurate results. It appears that irrespective of the dimension, λ is same for both conserved and nonconserved dynamics.

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“…Be it a colony of bacteria or a herd of sheep, clustering in active matter systems, containing self-propelling particles [1][2][3][4][5][6][7], is rather common. Phenomena associated with such assemblies received much attention in the passive scenario [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Currently, for experimentalists and theorists alike, the focus is on the active counterpart [1][2][3][4][5][6][7][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Active Particles in Explicit Solvent: Dynamics of clustering for alignment interaction

Bera¹,

Sahoo²,

Thakur³

et al. 2020

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We study dynamics of clustering in systems containing active particles that are immersed in an explicit solvent. For this purpose we have adopted a hybrid simulation method, consisting of molecular dynamics and multi-particle collision dynamics. In our model, overlap-avoiding passive interaction of an active particle with another active particle or a solvent particle has been taken care of via variants of Lennard-Jones potential. Dynamic interaction among the active particles has been incorporated via the Vicsek-like self-propulsion that facilitates clustering. We quantify the effects of activity and importance of hydrodynamics on the dynamics of clustering via variations of relevant system parameters. We work with low overall density of active particles. For this the morphology consists of disconnected clusters, the mechanism of growth switching among particle diffusion, diffusive coalescence and ballistic aggregation, depending upon the presence or absence of active and hydrodynamic interactions. Corresponding growth laws have been quantified and discussed in the background of appropriate theoretical pictures. Our results suggest that multiparticle collision dynamics is an effective method for investigation of hydrodynamic phenomena even in active matter systems.

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

Cited by 11 publications

References 76 publications

Spread of COVID-19: Investigation of universal features in real data

Spread of COVID-19: Investigation of universal features in real data

Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point

Active Particles in Explicit Solvent: Dynamics of clustering for alignment interaction

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