Tele-rehabilitation program in Idiopathic Pulmonary Fibrosis

Heras, José Cerdán de las; Hilberg, Ole; Løkke, Anders; Bendstrup, Elisabeth

doi:10.1183/13993003.congress-2019.pa2232

Cited by 5 publications

(8 citation statements)

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“…We corroborate the theory developed in Refs. [20,21] with experiments on four-fold symmetric patterns and prove experimentally the existence of ratchet modes in the six-fold symmetric patterns. We also develop a theory for two-and threefold patterns and prove their validity with experiments.…”

Section: Introductionmentioning

confidence: 69%

“…It has been applied to non-equilibrium stochastic systems that describe biochemical reactions [19]. We applied the concept of topological protection to the dissipative transport of magnetic colloidal particles on top of a modulated periodic magnetic potential [20,21]. There the transport of the point particle is fully characterized by the topology of the mathematical manifold on which it moves.…”

Section: Introductionmentioning

confidence: 99%

“…It can be characterized by its genus, a topological invariant somewhat more descriptive than the Chern class. We have shown that the driven transport of paramagnetic or diamagnetic colloidal particles above a two dimensional lattice is topologically protected by topological invariants of the modulation loops used to drive the transport [20,21]. Non-topological transport of particles in a dissipative environment is usually vulnerable because of a spreading of the driven motion with the distribution of properties of the classical particles [22][23][24][25][26][27][28] as well as due to the abundance of possible hydrodynamic instabilities [29,30] that limit the control over their motion.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [20,21] we studied the motion of colloids above hexagonal and square patterns, respectively. Here, we extend our previous studies in several ways.…”

Section: Introductionmentioning

confidence: 99%

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Lattice symmetries and the topologically protected transport of colloidal particles

et al. 2017

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The topologically protected transport of colloidal particles on top of periodic magnetic patterns is studied experimentally, theoretically, and with computer simulations. To uncover the interplay between topology and symmetry we use patterns of all possible two dimensional magnetic point group symmetries with equal lengths lattice vectors. Transport of colloids is achieved by modulating the potential with external, homogeneous but time dependent magnetic fields. The modulation loops can be classified into topologically distinct classes. All loops falling into the same class cause motion in the same direction, making the transport robust against internal and external perturbations. We show that the lattice symmetry has a profound influence on the transport modes, the accessibility of transport networks, and the individual transport directions of paramagnetic and diamagnetic colloidal particles. We show how the transport of colloidal particles above a two fold symmetric stripe pattern changes from universal adiabatic transport at large elevations via a topologically protected ratchet motion at intermediate elevations toward a non-transport regime at low elevations. Transport above four-fold symmetric patterns is closely related to the two-fold symmetric case. The three-fold symmetric case however consists of a whole family of patterns that continuously vary with a phase variable. We show how this family can be divided into two topologically distinct classes supporting different transport modes and being protected by proper and improper six fold symmetries. We discuss and experimentally demonstrate the topological transition between both classes. All three-fold symmetric patterns support independent transport directions of paramagnetic and diamagnetic particles. The similarities and the differences in the lattice symmetry protected transport of classical over-damped colloidal particles versus the topologically protected transport in quantum mechanical systems are emphasized.

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Section: Introductionmentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In Refs. [20,21] we studied the motion of colloids above hexagonal and square patterns, respectively. Here, we extend our previous studies in several ways.…”

Section: Introductionmentioning

confidence: 99%

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Lattice symmetries and the topologically protected transport of colloidal particles

et al. 2017

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“…When finishing this paper, we became aware of another preprint, Ref. [17], which also did the many-body calculation with the Bogoliubov wave function.…”

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confidence: 99%

Universal Dynamics of a Degenerate Bose Gas Quenched to Unitarity

et al. 2020

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Motivated by an unexpected experimental observation from the Cambridge group, [Eigen et al., Nature 563, 221 (2018)], we study the evolution of the momentum distribution of a degenerate Bose gas quenched from the weakly interacting to the unitarity regime. For the two-body problem, we establish a relation that connects the momentum distribution at long time to a sub-leading term in the initial wave function. For the many-body problem, we employ the time-dependent Bogoliubov variational wave function and find that, in certain momentum regimes, the momentum distribution at long times displays the same exponential behavior found by the experiment. Moreover, we find that this behavior is universal and independent of the short-range details of the interaction potential. Consistent with the relation found in the two-body problem, we also numerically show that this exponential form is hidden in the same sub-leading term of the Bogoliubov wave function in the initial stages. Our results establish a consistent picture to understand the universal dynamics observed in the Cambridge experiment.

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