Long-Range Phase Order in Two Dimensions under Shear Flow

Nakano, Hiroyoshi; Minami, Yuki; Sasa, Shigehiko

doi:10.1103/physrevlett.126.160604

Cited by 17 publications

(5 citation statements)

References 79 publications

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“…Moreover, relevant physical quantities are found to oscillate on a logarithmic time scale, due to a periodic stretching and breaking-up of domains. The interest towards the role of shear in phase ordering is still vivid, as witnessed by recent studies [46,47].…”

Section: Introductionmentioning

confidence: 99%

Shearing Effects on the Phase Coarsening of Binary Mixtures Using the Active Model B

Lamura

Tiribocchi

2021

Mathematics

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The phase separation of a two-dimensional active binary mixture is studied under the action of an applied shear through numerical simulations. It is highlighted how the strength of the external flow modifies the initial shape of growing domains. The activity is responsible for the formation of isolated droplets which affect both the coarsening dynamics and the morphology of the system. The characteristic dimensions of domains along the flow and the shear direction are modulated in time by oscillations whose amplitudes are reduced when the activity increases. This induces a broadening of the distribution functions of domain lengths with respect to the passive case due to the presence of dispersed droplets of different sizes.

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Section: Introductionmentioning

confidence: 99%

Shearing Effects on the Phase Coarsening of Binary Mixtures Using the Active Model B

Lamura

Tiribocchi

2021

Mathematics

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“…However, it is known that the physics in two dimensions (2D) is richer. [21][22][23][24][25][26][27][28][29][30] The direct application of DMRG to 2D systems is not as successful as the study of 1D cases. It was found that the required resource needs to increase exponentially with the system size in 2D if we want to maintain the accuracy.…”

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confidence: 99%

Augmenting Density Matrix Renormalization Group with Disentanglers

Qian

Qin

2023

Chinese Phys. Lett.

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Density Matrix Renormalization Group (DMRG) and its extensions in the form of Matrix Product States (MPS) are arguably the choice for the study of one dimensional quantum systems in the last three decades. However, due to the limited entanglement encoded in the wave-function ansatz, to maintain the accuracy of DMRG with the increase of the system size in the study of two dimensional systems, exponentially increased resources are required, which limits the applicability of DMRG to only narrow systems. In this work, we introduce a new ansatz in which DMRG is augmented with disentanglers to encode area-law-like entanglement entropy (entanglement entropy supported in the new ansatz scales as $l$ for a $l \times l$ system). In the new method, the $O(D^3)$ low computational cost of DMRG is kept (with an overhead of $O(d^4)$ and $d$ the dimension of the physical degree of freedom). We perform benchmark calculations with this approach on the two dimensional transverse Ising and Heisenberg models. This new ansatz extends the power of DMRG in the study of two-dimensional quantum systems.

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“…A remarkable feature of such systems is that the standard relations in equilibrium systems no longer hold. For example, phase order in two dimensions is not observed for equilibrium systems at finite temperatures [4,5], while it emerges for active matters [6] or sheared systems [7]. The particular nature of out-of-equilibrium systems is not limited to phase transition problems.…”

mentioning

confidence: 99%

“…defined in 0 ≤ x ≤ L, where the standard parameters ν, D, and λ are introduced. By adding a localized force, ν eff instead of κ eff can be operationally defined through (7). Our formula (16) with replacements κ=γ → ν, v 0 → λ, and T=γ → D can be used to estimate ν, D, and λ when there exists a phenomenon that may be effectively described by the KPZ equation.…”

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confidence: 99%

Divergent Stiffness of One-Dimensional Growing Interfaces

Mutsumi

Sasa

2023

Phys. Rev. Lett.

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When a spatially localized stress is applied to a growing one-dimensional interface, the interface deforms. This deformation is described by the effective surface tension representing the stiffness of the interface. We present that the stiffness exhibits divergent behavior in the large system size limit for a growing interface with thermal noise, which has never been observed for equilibrium interfaces. Furthermore, by connecting the effective surface tension with a space-time correlation function, we elucidate the mechanism that anomalous dynamical fluctuations lead to divergent stiffness.

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Long-Range Phase Order in Two Dimensions under Shear Flow

Cited by 17 publications

References 79 publications

Shearing Effects on the Phase Coarsening of Binary Mixtures Using the Active Model B

Shearing Effects on the Phase Coarsening of Binary Mixtures Using the Active Model B

Augmenting Density Matrix Renormalization Group with Disentanglers

Divergent Stiffness of One-Dimensional Growing Interfaces

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