Nonequilibrium autocorrelations in phase-ordering dynamics

Liu, Fong; Mazenko, Gene F.

doi:10.1103/physrevb.44.9185

Cited by 90 publications

(127 citation statements)

References 40 publications

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“…Therefore, we tend to claim that λ of the φ 4 theory in two dimensions with Hamiltonian dynamics is the same as that of stochastic dynamics. In three dimensions, our λ = 1.67(6) agrees very well with the 'best' theoretical prediction 1.67 for stochastic dynamics [16,11]. Numerical measurements of λ for stochastic dynamics in three dimensions look somewhat problematic and the results fluctuate around the theoretical values.…”

Section: Numerical Resultssupporting

confidence: 70%

PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

Zheng¹,

Linke²,

Trimper³

2001

Fluctuating Paths and Fields

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Section: Numerical Resultssupporting

confidence: 70%

PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

Zheng¹,

Linke²,

Trimper³

2001

Fluctuating Paths and Fields

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“…For the perfect Ising model, different studies have measured this exponent, yielding the value λ C ≈ 1.25 in two dimensions [5,6,7,20]. In Figure 4 we show C(t, s = 0) as a function of L(t) for the different disorder distributions and temperatures.…”

Section: Two-time Autocorrelation Functionmentioning

confidence: 99%

“…In this context the theoretical study of perfect, i.e. nondisordered, models has been most fruitful, see, for example, [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Domain growth and aging scaling in coarsening disordered systems

Park

Pleimling

2012

Eur. Phys. J. B

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Abstract. Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the threedimensional Edwards-Anderson Ising spin glass with a bimodal distribution of the coupling constants. We study the two-times autocorrelation and space-time correlation functions and show that in both systems a simple aging scenario prevails in terms of the scaling variable L(t)/L(s), where L is the time-dependent correlation length, whereas s is the waiting time and t is the observation time. The investigation of the space-time correlation function for the random-bond Ising model allows us to address some issues related to superuniversality.

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“…The autocorrelation exponent is expected to be λ C (T i = ∞) = 5/4 [5,15] for a quench from T i = ∞ and a much smaller value [11] λ C (T i = T c ) = 1/8 for a quench from the critical state at T i = T c . The linear response function is defined as…”

Section: The Ising Model and The Observable Quantitiesmentioning

confidence: 99%

Role of initial state and final quench temperature on aging properties in phase-ordering kinetics

Corberi

Villavicencio-Sanchez

2016

Phys. Rev. E

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We study numerically the two-dimensional Ising model with non-conserved dynamics quenched from an initial equilibrium state at the temperature Ti ≥ Tc to a final temperature T f below the critical one. By considering processes initiating both from a disordered state at infinite temperature Ti = ∞ and from the critical configurations at Ti = Tc and spanning the range of final temperatures T f ∈ [0, Tc[ we elucidate the role played by Ti and T f on the aging properties and, in particular, on the behavior of the autocorrelation C and of the integrated response function χ. Our results show that for any choice of T f , while the autocorrelation function exponent λC takes a markedly different value for Ti = ∞ [λC (Ti = ∞) 5/4] or Ti = Tc [λC (Ti = Tc) 1/8] the response function exponents are unchanged. Supported by the outcome of the analytical solution of the solvable spherical model we interpret this fact as due to the different contributions provided to autocorrelation and response by the large-scale properties of the system. As changing T f is considered, although this is expected to play no role in the large-scale/long-time properties of the system, we show important effects on the quantitative behavior of χ. In particular, data for quenches to T f = 0 are consistent with a value of the response function exponent λχ = 1 2 λC (Ti = ∞) = 5/8 different from the one [λχ ∈ (0.5 − 0.56)] found in a wealth of previous numerical determinations in quenches to finite final temperatures. This is interpreted as due to important pre-asymptotic corrections associated to T f > 0.

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Nonequilibrium autocorrelations in phase-ordering dynamics

Cited by 90 publications

References 40 publications

PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

Domain growth and aging scaling in coarsening disordered systems

Role of initial state and final quench temperature on aging properties in phase-ordering kinetics

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Nonequilibrium autocorrelations in phase-ordering dynamics

Cited by 90 publications

References 40 publications

PHASE ORDERING DYNAMICS OF ϕ4-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

PHASE ORDERING DYNAMICS OF ϕ4-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

Domain growth and aging scaling in coarsening disordered systems

Role of initial state and final quench temperature on aging properties in phase-ordering kinetics

Contact Info

Product

Resources

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PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION

PHASE ORDERING DYNAMICS OF ϕ⁴-THEORY WITH HAMILTONIAN EQUATIONS OF MOTION