scholarly journals Wake and wave resistance on viscous thin films

2016 ◽  
Vol 792 ◽  
pp. 829-849 ◽  
Author(s):  
René Ledesma-Alonso ◽  
Michael Benzaquen ◽  
Thomas Salez ◽  
Elie Raphaël
Keyword(s):  
Pressure Field ◽  
Finite Size ◽  
External Source ◽  
External Pressure ◽  
Wave Resistance ◽  
Two Dimensional ◽  
Pressure Source ◽  
One Dimensional ◽  
Speed Up

The effect of an external pressure disturbance, being displaced with a constant speed along the free surface of a viscous thin film, is studied theoretically in the lubrication approximation in one- and two-dimensional geometries. In the comoving frame, the imposed pressure field creates a stationary deformation of the interface – a wake – that spatially vanishes in the far region. The shape of the wake and the way it vanishes depend on both the speed and size of the external source and the properties of the film. The wave resistance, namely the force that has to be externally furnished in order to maintain the wake, is analysed in detail. For finite-size pressure disturbances, it increases with the speed, up to a certain transition value, above which a monotonic decrease occurs. The role of the horizontal extent of the pressure field is studied as well, revealing that for a smaller disturbance the latter transition occurs at a higher speed. Eventually, for a Dirac pressure source, the wave resistance either saturates for a one-dimensional geometry, or diverges for a two-dimensional geometry.

scholarly journals Cluster Structure of Optimal Solutions in Bipartitioning of Small Worlds

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1319
Author(s):  
Adam Lipowski ◽  
António L. Ferreira ◽  
Dorota Lipowska
Keyword(s):  
Cluster Structure ◽  
Finite Size ◽  
Lattice Models ◽  
Square Lattice ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Small Worlds ◽  
Replica Symmetry ◽  
One Dimensional ◽  
Optimal Partitions

Using simulated annealing, we examine a bipartitioning of small worlds obtained by adding a fraction of randomly chosen links to a one-dimensional chain or a square lattice. Models defined on small worlds typically exhibit a mean-field behavior, regardless of the underlying lattice. Our work demonstrates that the bipartitioning of small worlds does depend on the underlying lattice. Simulations show that for one-dimensional small worlds, optimal partitions are finite size clusters for any fraction of additional links. In the two-dimensional case, we observe two regimes: when the fraction of additional links is sufficiently small, the optimal partitions have a stripe-like shape, which is lost for a larger number of additional links as optimal partitions become disordered. Some arguments, which interpret additional links as thermal excitations and refer to the thermodynamics of Ising models, suggest a qualitative explanation of such a behavior. The histogram of overlaps suggests that a replica symmetry is broken in a one-dimensional small world. In the two-dimensional case, the replica symmetry seems to hold, but with some additional degeneracy of stripe-like partitions.

Cyano-Functionalized Porphyrins on Cu(111) from One-Dimensional Wires to Two-Dimensional Molecular Frameworks: On the Role of Co-Deposited Metal Atoms

2020 ◽  
Vol 32 (5) ◽  
pp. 2114-2122
Author(s):  
Alisson Ceccatto dos Santos ◽  
Rodrigo Cezar de Campos Ferreira ◽  
Juan Carlos Moreno-López ◽  
Lucas Barreto ◽  
Michael Lepper ◽  
...  
Keyword(s):  
Two Dimensional ◽  
One Dimensional ◽  
Metal Atoms ◽  
Deposited Metal

scholarly journals Comment on “The role of electron-electron interactions in two-dimensional Dirac fermions”

Science ◽  
2019 ◽  
Vol 366 (6470) ◽  
pp. eaav6869 ◽  
Author(s):  
S. Hesselmann ◽  
T. C. Lang ◽  
M. Schuler ◽  
S. Wessel ◽  
A. M. Läuchli
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
Finite Size ◽  
Numerical Data ◽  
Research Articles ◽  
Fermi Velocity ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Coulomb Interactions

Tang et al. (Research Articles, 10 August 2018, p. 570) report on the properties of Dirac fermions with both on-site and Coulomb interactions. The substantial decrease, up to ~40%, of the Fermi velocity of Dirac fermions with on-site interaction is inconsistent with the numerical data near the Gross-Neveu quantum critical point. This results from an inappropriate finite-size extrapolation.

ON BEHAVIORS OF TWO-DIMENSIONAL ENDOMORPHISMS: ROLE OF THE CRITICAL CURVES

1993 ◽  
Vol 03 (01) ◽  
pp. 187-194 ◽  
Author(s):  
CHRISTIAN MIRA ◽  
TONY NARAYANINSAMY
Keyword(s):  
Critical Points ◽  
Two Dimensional ◽  
One Dimensional ◽  
Critical Curves ◽  
Dynamical Properties

Critical curves are the natural two-dimensional extension of the notion of critical points in one-dimensional endomorphisms. They play a fundamental role in determining the dynamical properties and their bifurcations. This letter demonstrates such a role for two new behaviors.

scholarly journals Design of Regular One-Dimensional, Two-Dimensional, and Three-Dimensional Linkage-Based Tessellations

2020 ◽  
Vol 12 (2) ◽  
Author(s):  
Alden D. Yellowhorse ◽  
Nathan Brown ◽  
Larry L. Howell
Keyword(s):  
Three Dimensional ◽  
Finite Size ◽  
Three Dimensions ◽  
Two Dimensional ◽  
One Dimensional

Abstract Linkage origami is one effective approach for addressing stiffness and accommodating panels of finite size in origami models and tessellations. However, successfully implementing linkage origami in tessellations can be challenging. In this work, multiple theorems are presented that provide criteria for designing origami units or cells that can be assembled into arbitrarily large tessellations. The application of these theorems is demonstrated through examples of tessellations in two and three dimensions.

Ostwald ripening of droplets: The role of migration

2009 ◽  
Vol 20 (1) ◽  
pp. 1-67 ◽  
Author(s):  
KARL GLASNER ◽  
FELIX OTTO ◽  
TOBIAS RUMP ◽  
DEJAN SLEPČEV
Keyword(s):  
Thin Films ◽  
Mass Exchange ◽  
Ostwald Ripening ◽  
Precursor Film ◽  
Collapse Mechanism ◽  
Two Dimensional ◽  
Liquid Droplets ◽  
Single Droplet ◽  
One Dimensional

A configuration of near-equilibrium liquid droplets sitting on a precursor film which wets the entire substrate can coarsen in time by two different mechanisms: collapse or collision of droplets. The collapse mechanism, i.e., a larger droplet grows at the expense of a smaller one by mass exchange through the precursor film, is also known as Ostwald ripening. As was shown by K. B. Glasner and T. P. Witelski (‘Collision versus collapse of droplets in coarsening of dewetting thin films’, Phys. D209 (1–4), 2005, 80–104) in case of a one-dimensional substrate, the migration of droplets may interfere with Ostwald ripening: The configuration can coarsen by collision rather than by collapse. We study the role of migration in a two-dimensional substrate for a whole range of mobilities. We characterize the velocity of a single droplet immersed into an environment with constant flux field far away. This allows us to describe the dynamics of a droplet configuration on a two-dimensional substrate by a system of ODEs. In particular, we find by heuristic arguments that collision can be a relevant coarsening mechanism.

Imaging Transfer Devices Operated by PSD Mode a-Si P-I-N Junctions

1989 ◽  
Vol 149 ◽  
Author(s):  
M. Yamaguchi ◽  
S. Murakami ◽  
S. Todo ◽  
Y. Tawada
Keyword(s):  
Image Sensor ◽  
Two Dimensional ◽  
Key Factors ◽  
Large Area ◽  
One Dimensional ◽  
Display Devices ◽  
Advantages And Disadvantages ◽  
Position Sensitive ◽  
Deposition Techniques

ABSTRACTTwo types of position sensitive device (PSD) using a-Si:H thin films have been developed. One has been produced by large area plasma CVD, with usual metal deposition techniques. The other is the application of a linear image sensor as a one dimensional position sensor. There are some advantages and disadvantages in these two types of position sensitive device. Resolution of the linear image sensor is limited by the size of the elements and the pitch; in contrast, uniformity of the electrodes on the p-i-n diode and thickness of the a-Si thin film are the key factors for the resolution of one and two dimensional analogue PSDs.The analogue PSD is applicable to a digitizer which takes the role of a man-machine (computer) interface. The large area two dimensional digitizer was fabricated using the same technique as large area solar cell production, and was shown to be useful as a drawing tool on a CRT or other display devices with the aid of a micro-computer.

scholarly journals Response to Comment on “The role of electron-electron interactions in two-dimensional Dirac fermions”

Science ◽  
2019 ◽  
Vol 366 (6470) ◽  
pp. eaav8877
Author(s):  
Ho-Kin Tang ◽  
J. N. Leaw ◽  
J. N. B. Rodrigues ◽  
I. F. Herbut ◽  
P. Sengupta ◽  
...  
Keyword(s):  
Critical Point ◽  
Finite Size ◽  
Numerical Data ◽  
Fermi Velocity ◽  
Dirac Fermions ◽  
Two Dimensional ◽  
Zero Energy ◽  
Long Range Interactions ◽  
Rule Out

Hesselmann et al. question one of our conclusions: the suppression of Fermi velocity at the Gross-Neveu critical point for the specific case of vanishing long-range interactions and at zero energy. The possibility they raise could occur in any finite-size extrapolation of numerical data. Although we cannot definitively rule out this possibility, we provide mathematical bounds on its likelihood.

Sign in / Sign up

Export Citation Format

Share Document