Coarsening phenomena

Cugliandolo, Leticia F.

doi:10.1016/j.crhy.2015.02.005

Cited by 35 publications

(24 citation statements)

References 91 publications

(147 reference statements)

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“…with f (x) ∝ exp(−2x). This is the same scaling form as the one predicted for the coarsening dynamics of systems quenched across the critical temperature 53,59,121 . In these systems, although the global symmetry cannot be dynamically broken by the quench, this occurslocally via the creation of domains within which the order parameter φ takes the value corresponding to one of the possible vacua.…”

Section: Interrupted Agingsupporting

confidence: 69%

“…In particular, a simple protocol which results into a dynamical universal behavior consists in quenching a system across a critical point starting from a disordered phase. The subsequent coarsening dynamics, characterized by the formation of spatial domains of different ordered phases and diverging relaxation times 53,59 , has been shown to occur also for isolated Hamiltonian dynamics [60][61][62][63][64] and in certain cases it is accompanied by a novel behavior, with no counterpart in the presence of thermal baths [65][66][67][68] . Glassy features with similarities and differences from the ones found under dis-sipative dynamics 69 have also been exhibited in solvable models [70][71][72] .…”

Section: Introductionmentioning

confidence: 99%

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Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations

et al. 2020

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We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast (radiation) and slow (kink or domain wall) degrees of freedom. We find a universal long-time dynamics, largely independent of the microscopic details of the system, in which the kinks control the relaxation of relevant observables and correlations. The resulting late-time dynamics can be described by a set of phenomenological equations, which yield results in excellent agreement with the numerical tests.

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Section: Interrupted Agingsupporting

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations

et al. 2020

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“…The absence of bulk noise and surface tension entail important differences with respect to curvature driven phase ordering kinetics [13,14,15]. In the voter model, regions of one opinion can only be penetrated by the other at the boundary.…”

Section: Introductionmentioning

confidence: 99%

Percolation and coarsening in the bidimensional voter model

Tartaglia¹,

Cugliandolo²,

Picco³

2015

Phys. Rev. E

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We study the bidimensional voter model on a square lattice with numerical simulations. We demonstrate that the evolution takes place in two distinct dynamic regimes; a first approach towards critical site percolation and a further approach towards full consensus. We calculate the time dependence of the two growing lengths, finding that they are both algebraic but with different exponents (apart from possible logarithmic corrections). We analyze the morphology and statistics of clusters of voters with the same opinion. We compare these results to the ones for curvature driven two-dimensional coarsening.

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“…Interface curvature is known to strongly influence coarsening phenomena in foams and emulsions ( 23 , 24 ). Differences in drop and bubble radii directly lead to a distribution in the internal Laplace pressures of the disperse phase, causing large drops in an emulsion to grow at the expense of smaller drops.…”

Section: Resultsmentioning

confidence: 99%