Quantum melting and lattice orientation of driven vortex matter

Okuma, S.; Imaizumi, Hiroyuki; Shimamoto, Daisuke; Kokubo, N.

doi:10.1103/physrevb.83.064520

Cited by 24 publications

(25 citation statements)

References 63 publications

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“…While straightforward experimental realizations of absorbing state transitions were lacking for a long time [47], appealing examples were recently found in driven suspensions [48,49], turbulent liquid crystals [50], and superconducting vortices [51]. Moreover, the nonequilibrium nature of biological systems suggests them as potential candidates for observing nonequilibrium transitions.…”

Section: Discussionmentioning

confidence: 99%

Random field disorder at an absorbing state transition in one and two dimensions

Barghathi

Vojta

2016

Phys. Rev. E

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We investigate the behavior of nonequilibrium phase transitions under the influence of disorder that locally breaks the symmetry between two symmetrical macroscopic absorbing states. In equilibrium systems such "random-field" disorder destroys the phase transition in low dimensions by preventing spontaneous symmetry breaking. In contrast, we show here that random-field disorder fails to destroy the nonequilibrium phase transition of the one-and two-dimensional generalized contact process. Instead, it modifies the dynamics in the symmetry-broken phase. Specifically, the dynamics in the one-dimensional case is described by a Sinai walk of the domain walls between two different absorbing states. In the two-dimensional case, we map the dynamics onto that of the well studied low-temperature random-field Ising model. We also study the critical behavior of the nonequilibrium phase transition and characterize its universality class in one dimension. We support our results by large-scale Monte Carlo simulations, and we discuss the applicability of our theory to other systems.

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Section: Discussionmentioning

confidence: 99%

Random field disorder at an absorbing state transition in one and two dimensions

Barghathi

Vojta

2016

Phys. Rev. E

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“…Numerical simulations have shown how, when periodically driven, ensembles of interacting particles undergo a critical transition from a time-reversible to an irreversible dynamics. The time-reversible state corresponds to an absorbing state where the strobed dynamics of the particles is frozen [5][6][7][8][9]. This phenomenon, coined random organization, was first demonstrated for periodically sheared suspensions [5,8,10], and subsequently reported for a number of physical systems ranging from emulsions [6,7] to granular media [11,12] to driven vortices in superconductors [9].…”

mentioning

confidence: 99%

“…The time-reversible state corresponds to an absorbing state where the strobed dynamics of the particles is frozen [5][6][7][8][9]. This phenomenon, coined random organization, was first demonstrated for periodically sheared suspensions [5,8,10], and subsequently reported for a number of physical systems ranging from emulsions [6,7] to granular media [11,12] to driven vortices in superconductors [9]. At the critical point, numerical simulations predict the self-organization of the particles into amorphous hyperuniform structures [7,[13][14][15][16].…”

mentioning

confidence: 99%

Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection

Weijs

Bartolo

2017

Phys. Rev. Lett.

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We show how to achieve both fast and hyperuniform dispersions of particles in viscous fluids. To do so, we first extend the concept of critical random organization to chaotic drives. We show how palindromic sequences of chaotic advection cause microscopic particles to effectively interact at long range, thereby inhibiting critical self-organization. Based on this understanding we go around this limitation and design sequences of stirring and unstirring which simultaneously optimize the speed of particle spreading and the homogeneity of the resulting dispersions.

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“…It is one of the nonequilibrium phase transitions in which the order parameters, relaxation time, and the correlation lengths obey power laws whose exponents are very close to those of the Directed Percolation (DP) universality class of the absorbing state transitions. Now the RI transition becomes an epitome of the nonequilibrium phase transition, along with other diverse examples, such as contact processes [1,2], a topological transition of the liquid crystal turbulence [7], the sheared-vortex in a superconductor [8], and the laminar-to-turbulent transition in simple fluids [9].…”

Section: Introductionmentioning

confidence: 99%

Classification of the reversible–irreversible transitions in particle trajectories across the jamming transition point

2019

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The reversible-irreversible (RI) transition of particle trajectories in athermal colloidal suspensions under cyclic shear deformation is an archetypal nonequilibrium phase transition which attracts much attention recently. In the low-density limit, the RI transition is predicted to belong to a universality class of the absorbing state transitions, whereas at the high densities well above the jamming transition density, ϕJ, the transition is discontinuous and is closely related to the yielding transition. The transition between the two limiting cases is largely unexplored. In this paper, we study the RI transition of athermal frictionless colloidal particles over a wide range of densities, with emphasis on the region below ϕJ, by using oscillatory sheared molecular dynamics simulation. We reveal that the nature of the RI transitions in the intermediate densities is very rich. As demonstrated by the previous work by Schreck et al.[Phys. Rev. E. 88, 052205 (2013)], there exist the point-reversible and the loop-reversible phases depending on the density and the shear strain amplitude. We find that, between the two reversible phases, a quasi-irreversible phase where the particles' trajectories are highly non-affine and diffusive. The averaged number of contacts of particles is found to characterize the phase boundaries. We also find that the system undergoes the yielding transition below but in the vicinity of ϕJ when the strain with a small but finite strain rate is applied. This yielding transition line matches with the RI transition line separating the loop-reversible from the irreversible phases. Surprisingly, the nonlinear rheological response called "softening" has been observed even below ϕJ. These findings imply that geometrical properties encoded in the sheared configurations control the dynamical transitions.

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Quantum melting and lattice orientation of driven vortex matter

Cited by 24 publications

References 63 publications

Random field disorder at an absorbing state transition in one and two dimensions

Random field disorder at an absorbing state transition in one and two dimensions

Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection

Classification of the reversible–irreversible transitions in particle trajectories across the jamming transition point

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