Related Experiment Video
Updated: Aug 9, 2026
10:52
Conducting Elevated Temperature Normal and Combined Pressure-Shear Plate Impact Experiments Via a Breech-end Sabot Heater System
Published on: August 7, 2018
Casimir Interaction between a plate and a cylinder
1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany.
Physical Review Letters
|April 12, 2006
Summary
We calculated the exact Casimir force for a plate-cylinder geometry. The force shows a surprisingly weak decay at large distances due to magnetic modes, differing from parallel plate and sphere cases.
Area of Science:
- Condensed matter physics
- Quantum field theory
Background:
- The Casimir effect describes a physical force acting between two uncharged conductive bodies in a vacuum.
- Exact solutions for the Casimir force are known for parallel plates and spheres at large separations.
Purpose of the Study:
- To determine the exact Casimir force for a plate-cylinder geometry.
- To investigate the force's behavior at large separations and understand the underlying physical mechanisms.
Main Methods:
- Utilizing path integral quantization.
- Employing a partial wave expansion for mode analysis.
Main Results:
- Derived the exact Casimir force for the plate-cylinder configuration.
- Identified an unexpectedly weak force decay, approximately L/[H^3 ln(H/R)], at large separations (H) due to transverse magnetic modes.
- Observed qualitative differences in the density of states for electric and magnetic modes.
Conclusions:
- The plate-cylinder Casimir force exhibits unique behavior compared to parallel plates and spheres.
- Transverse magnetic modes significantly influence the force's distance dependence.
- The methods used also provide insights into finite temperature corrections.
Related Concept Videos
01:12Fluid Pressure over Curved Plate of Constant Width
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
01:02Fluid Pressure over Flat Plate of Variable Width
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
01:17Steady, Laminar Flow Between Parallel Plates
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
01:05Fluid Pressure over Flat Plate of Constant Width
When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
The resultant force...
The resultant force...
01:28Cylinders in Three-Dimensional Space
A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
01:21Screw: Problem Solving
In mechanical engineering, the interaction between a threaded screw shaft and a plate gear involves analyzing the resisting torque on the plate gear that can be overpowered when a specific torsional moment is applied to the shaft. To better comprehend this concept, consider a generic situation with a threaded screw shaft with a given mean radius and lead and a plate gear with a specified mean radius. The coefficient of static friction between the screw and gear is also provided.
To evaluate the...
To evaluate the...