scholarly journals Incompressible impulsive sloshing

2012 ◽  
Vol 708 ◽  
pp. 279-302 ◽  
Author(s):  
Peder A. Tyvand ◽  
Touvia Miloh
Keyword(s):  
Circular Cylinder ◽  
Time Scale ◽  
Hydrodynamic Force ◽  
Small Time ◽  
Surface Velocity ◽  
Leading Order ◽  
Intermediate Time ◽  
Time Expansion ◽  
Horizontal Cylinders ◽  
Intermediate Time Scale

AbstractThe incompressible impulsive time scale for inviscid liquid sloshing in open rigid containers suddenly put into motion is defined as the intermediate time scale in between the acoustic time scale and the gravitational time scale. Surge and sway boundary-value problems for incompressible impulsive sloshing in some realistic container shapes are solved analytically to the leading order in a small-time expansion. A solution is provided for two types of horizontal cylinders: a triangular cylindrical wedge and a half-filled circular cylinder. The surface velocity and the hydrodynamic force with its corresponding virtual fluid mass are calculated. The cases of constant impulsive velocity and constant impulsive acceleration are linked by transformation equations. Flows with waterline singularities are discussed, being leading-order outer flows in terms of matched asymptotic expansions.

scholarly journals Bath-induced decoherence in finite-size Majorana wires at non-zero temperature

2021 ◽  
Author(s):  
Niels Breckwoldt ◽  
Thore Posske ◽  
Michael Thorwart
Keyword(s):  
Time Scale ◽  
Finite Size ◽  
Information Storage ◽  
One Dimensional ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Intermediate Time ◽  
Topological Errors ◽  
The One ◽  
Intermediate Time Scale

Abstract Braiding Majorana zero-modes around each other is a promising route towards topological quantum computing. Yet, two competing maxims emerge when implementing Majorana braiding in real systems: On the one hand, perfect braiding should be conducted adiabatically slowly to avoid non-topological errors. On the other hand, braiding must be conducted fast such that decoherence effects introduced by the environment are negligible, which are generally unavoidable in finite-size systems. This competition results in an intermediate time scale for Majorana braiding that is optimal, but generally not error-free. Here, we calculate this intermediate time scale for a T-junction of short one-dimensional topological superconductors coupled to a bosonic bath that generates fluctuations in the local electric potential, which stem from, e.g., environmental photons or phonons of the substrate. We thereby obtain boundaries for the speed of Majorana braiding with a predetermined gate fidelity. Our results emphasize the general susceptibility of Majorana-based information storage in finite-size systems and can serve as a guide for determining the optimal braiding times in future experiments.

scholarly journals Intermediate time scale response of atmospheric CO2following prescribed fire in a longleaf pine forest

2016 ◽  
Vol 121 (10) ◽  
pp. 2745-2760 ◽  
Author(s):  
B. Viner ◽  
M. Parker ◽  
G. Maze ◽  
P. Varnedoe ◽  
M. Leclerc ◽  
...  
Keyword(s):  
Prescribed Fire ◽  
Time Scale ◽  
Longleaf Pine ◽  
Pine Forest ◽  
Scale Response ◽  
Intermediate Time ◽  
Intermediate Time Scale

scholarly journals Controlling dynamical entanglement in a Josephson tunneling junction

2017 ◽  
Vol 31 (32) ◽  
pp. 1750255
Author(s):  
K. Ziegler
Keyword(s):  
Time Scale ◽  
Interaction Strength ◽  
Entangled State ◽  
Tunneling Junction ◽  
Many Body ◽  
Josephson Tunneling ◽  
Body Interaction ◽  
Intermediate Time ◽  
Intermediate Time Scale ◽  
Number Of Particles

We analyze the evolution of an entangled many-body state in a Josephson tunneling junction and its dependence on the number of bosons and interaction strength. A N00N state, which is a superposition of two complementary Fock states, appears in the evolution with sufficient probability only for a moderate many-body interaction on an intermediate time scale. This time scale is inversely proportional to the tunneling rate. Many-body interaction strongly supports entanglement: The probability for creating an entangled state decays exponentially with the number of particles without many-body interaction, whereas it decays only like the inverse square root of the number of particles in the presence of many-body interaction.

Free-surface flow due to impulsive motion of a submerged circular cylinder

1995 ◽  
Vol 286 ◽  
pp. 67-101 ◽  
Author(s):  
Peder A. Tyvand ◽  
Touvia Miloh
Keyword(s):  
Free Surface ◽  
Circular Cylinder ◽  
Hydrodynamic Force ◽  
Free Surface Flow ◽  
Small Time ◽  
Surface Flow ◽  
Constant Acceleration ◽  
Impulsive Motion ◽  
Gravitational Effects ◽  
Bipolar Coordinates

The impulsively starting motion of a circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The series expansion is taken as far as necessary to include the leading gravitational effects for two cases: constant velocity and constant acceleration, both commencing from rest. The hydrodynamic force on the cylinder and the surface elevation are calculated and expressed in terms of bipolar coordinates. Comparisons are also made with earlier theoretical and experimental work. The theory is valid for arbitrary value of submergence depth to cylinder radius.

Free-surface flow generated by a small submerged circular cylinder starting from rest

1995 ◽  
Vol 286 ◽  
pp. 103-116 ◽  
Author(s):  
Peder A. Tyvand ◽  
Touvia Miloh
Keyword(s):  
Free Surface ◽  
Circular Cylinder ◽  
Hydrodynamic Force ◽  
Free Surface Flow ◽  
Small Time ◽  
Surface Flow ◽  
Third Order ◽  
Force Prediction ◽  
Small Cylinder ◽  
Submergence Depth

The impulsively starting motion of a small circular cylinder submerged horizontally below a free surface is studied analytically using a small-time expansion. The cylinder is considered small if the ratio between its radius and initial submergence depth is much smaller than one. The surface elevation is calculated up to third order. The hydrodynamic force on the small cylinder is also discussed. Certain inconsistencies in our small-cylinder approximation (assuming locally uniform flow around the cylinder) are found in the force prediction. The present work is an accompanying paper to Tyvand & Miloh (1995), where the same problem is studied for arbitrary radius versus submergence depth.

Impulsive Motion of a Wide Torus Submerged Below a Free Surface

1997 ◽  
Vol 41 (03) ◽  
pp. 195-209
Author(s):  
Peder A. Tyvand
Keyword(s):  
Free Surface ◽  
Degrees Of Freedom ◽  
Small Time ◽  
Nonlinear Interactions ◽  
Leading Order ◽  
Slender Body Theory ◽  
Six Degrees Of Freedom ◽  
Time Expansion ◽  
Body Theory ◽  
Submergence Depth

The impulsively starting motion of a torus submerged horizontally below a free surface is studied analytically, using a small-time expansion. The torus is assumed wide, i.e., the torus radius is much larger than its initial submergence depth. A quasi-two-dimensional theory is applied. Its accuracy is checked by comparing the first-order surface elevation with slender-body theory. The hydrodynamic force and torque are investigated in the first three orders of the small-time expansion. The ratio between the cross-section radius and submergence depth is arbitrary (between 0 and 1). The general motion of the torus consists of all six degrees of freedom. Special emphasis is put on the five different leading-order nonlinear interactions that may occur between these modes: surge/heave, surge/roll, sway/roll, heave/roll, and roll/yaw. These leading-order nonlinear interactions give rise to zeroth-order forces and torques. The leading-order gravitational effects are investigated.

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