Rate and function to fill a theoretical vacuum

In summary, the conversation is about finding a way to determine the rate and function for a theoretical vacuum to repopulate with air when surrounded by ambient air at STP. The individual is not well-versed in thermodynamics or kinetic theory and is using an infrared laser beam to heat up the air and create a THORS barrier. This barrier reflects sound waves and the decay of the reflection follows an exponential decay, similar to molecular diffusion rates. Fick's Law can be used to describe the rate of diffusion, with the equation J = -D*(∂C/∂x), where J is the rate of diffusion, D is the diffusion coefficient of the gas, and C is the concentration of the gas. By knowing the diffusion
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I am trying to find a way to determine the rate and function that would describe how a theoretical vacuum (let's say a cubic centimeter) would repopulate with air if surrounded by ambient air at STP. Any suggestions? I am not very good with thermodynamic or kinetic theory.

My current work involves heating up the air with an infrared laser beam, by absorption and thermal relaxation of water vapor. This results in a barrier due to an abrupt change in compressibility in the path of the laser that can reflect sound waves off of it. We call this Thermally-induced Optical Reflection of Sound (THORS.) Recently we have been studying the temporal dynamics of THORS barriers, by measuring the efficiency of reflected ultrasonic pulses with respect to time after a 1 ms laser pulse was fired.

The decay in the reflection off the THORS barrier, with time, seems to fit an exponential decay. This would seem to be similar to molecular diffusion rates. I thought the rate of filling a vacuum might closely resemble the phenomenon.

Here is a link to our Latest publication on THORS. Help is much appreciated.
 
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https://www.mdpi.com/2072-6651/12/3/255/htmThe rate of air filling a vacuum can be described by Fick's Law. This law states that the rate of diffusion of a substance is proportional to the concentration gradient. The equation for this is: J = -D*(∂C/∂x)Where J is the rate of diffusion (cm^3/s), D is the diffusion coefficient of the gas (cm^2/s), and C is the concentration of the gas (mol/cm^3). So, if you know the diffusion coefficient of air at STP and the concentration gradient, you can calculate the rate of air filling the vacuum.
 

1. What is a theoretical vacuum?

A theoretical vacuum is a hypothetical space in which there is no matter or energy present. It is often used as a model in physics and other sciences to study the behavior of particles and fields in the absence of external influences.

2. How is the rate of filling a theoretical vacuum determined?

The rate of filling a theoretical vacuum is determined by several factors, including the properties of the particles or fields present, the strength of any external forces acting on them, and the size and shape of the vacuum itself. It is often calculated using mathematical models and simulations.

3. What is the function of studying the rate of filling a theoretical vacuum?

Studying the rate of filling a theoretical vacuum can help scientists better understand the behavior of particles and fields in extreme conditions, such as in outer space or inside a particle accelerator. It can also aid in the development of new technologies and theories.

4. How does the rate of filling a theoretical vacuum relate to real-world applications?

The rate of filling a theoretical vacuum has many real-world applications, such as in the design of vacuum pumps and other equipment used in scientific research and industrial processes. It also plays a role in fields such as astrophysics, where it helps explain the behavior of matter in the vacuum of outer space.

5. Are there any limitations to studying the rate of filling a theoretical vacuum?

Yes, there are some limitations to studying the rate of filling a theoretical vacuum. For example, it is difficult to create a perfect vacuum in a laboratory setting, so the results may not always accurately reflect the behavior of particles and fields in a true vacuum. Additionally, some theories and models used to study vacuum filling may have limitations or may not be applicable in all situations.

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