Probability of Thermal Fluctuations Lifting 1g Stamp 1μm+

In summary, the probability of thermal fluctuations lifting a 1g stamp 1μm+ is extremely low and is affected by factors such as temperature, density, weight, and surface area. It can be calculated using statistical mechanics and the Boltzmann distribution, and can vary for different materials. While it is mostly a random event, certain factors may potentially influence the probability.
  • #1
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Homework Statement


Estimate the probability that a stamp with mass 1 gram lying on a table is lifted 1 [tex]\mu m[/tex] or higher by thermal fluctuations.


Homework Equations


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The Attempt at a Solution


I'm not sure how to start. What should I think about, what is relevant here? I feel completely lost really.
 
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  • #2
The probability is 1 if you wait long enough (neglecting decay of the table and stamp).
 

Related to Probability of Thermal Fluctuations Lifting 1g Stamp 1μm+

What is the probability of thermal fluctuations lifting a 1g stamp 1μm+?

The probability of thermal fluctuations lifting a 1g stamp 1μm+ is extremely low, as it requires a specific combination of thermal energy and random molecular motion to occur.

What factors affect the probability of thermal fluctuations lifting a 1g stamp 1μm+?

The probability of thermal fluctuations lifting a 1g stamp 1μm+ is affected by the temperature and density of the surrounding environment, as well as the weight and surface area of the stamp.

Can the probability of thermal fluctuations lifting a 1g stamp 1μm+ be calculated?

Yes, the probability of thermal fluctuations lifting a 1g stamp 1μm+ can be calculated using statistical mechanics and the Boltzmann distribution, which takes into account the energy and motion of individual particles.

Is the probability of thermal fluctuations lifting a 1g stamp 1μm+ different for different materials?

Yes, the probability of thermal fluctuations lifting a 1g stamp 1μm+ can vary for different materials due to differences in their molecular structures and bonding forces.

Can the probability of thermal fluctuations lifting a 1g stamp 1μm+ be controlled?

In most cases, the probability of thermal fluctuations lifting a 1g stamp 1μm+ cannot be controlled as it is a random event. However, certain factors such as temperature and surface roughness can be manipulated to potentially increase or decrease the probability.

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