Statistical mechanics and probability

In summary, the conversation discusses the concept of probability and how it rarely equals zero, using the example of the possibility of a giant meteor hitting Earth. The conversation then extends this idea to statistical mechanics and poses the question of whether there will be a time when every molecule points away from a thermometer, resulting in a reading of zero energy. The conclusion is that while this is theoretically possible, it would take an extremely long time to occur.
  • #1
flemmyd
144
1
One of the things I've learned about probability is that it seldom = 0. For example, the probability of a giant meteor hitting Earth is incredibly low, but it isn't zero. Thats why it happened (eventually).

So let's extend this to statistical mechanics. My understanding of (say) a thermometer is the random motion of individual particles hit the probe and transfer energy to it. Statistically speaking, shouldn't there be a time when EVERY molecule points away from the probe and nothing is hitting it --> it reads zero energy? This obviously wouldn't be common, but at SOME point, it should happen.

correct, incorrect?
 
Physics news on Phys.org
  • #2
flemmyd said:
One of the things I've learned about probability is that it seldom = 0. For example, the probability of a giant meteor hitting Earth is incredibly low, but it isn't zero. Thats why it happened (eventually).

So let's extend this to statistical mechanics. My understanding of (say) a thermometer is the random motion of individual particles hit the probe and transfer energy to it. Statistically speaking, shouldn't there be a time when EVERY molecule points away from the probe and nothing is hitting it --> it reads zero energy? This obviously wouldn't be common, but at SOME point, it should happen.

correct, incorrect?

Yes. "SOME point" being much much longer than the heat death of the universe.
 

Related to Statistical mechanics and probability

1. What is statistical mechanics?

Statistical mechanics is a branch of physics that uses statistical methods to explain the behavior and properties of a large number of particles or systems. It aims to understand how macroscopic behavior arises from the microscopic interactions of individual particles.

2. How does statistical mechanics relate to probability?

Statistical mechanics uses probability theory to describe the behavior of large systems. It uses statistical methods to calculate the probability of a system being in a particular state, and then uses these probabilities to predict the overall behavior of the system.

3. What is the difference between classical and quantum statistical mechanics?

Classical statistical mechanics is used to describe the behavior of macroscopic systems where particles are treated as classical objects with definite positions and momenta. On the other hand, quantum statistical mechanics takes into account the wave-like nature of particles at the microscopic level and uses quantum mechanics to describe their behavior.

4. How is statistical mechanics used in real-world applications?

Statistical mechanics has a wide range of applications in fields such as thermodynamics, chemistry, biology, and materials science. It is used to understand and predict the behavior of complex systems, such as gases, liquids, and solids, and to design and optimize new materials and technologies.

5. What are some key concepts in statistical mechanics?

Some key concepts in statistical mechanics include entropy, which measures the degree of disorder in a system, and the Boltzmann distribution, which describes the distribution of particles among different energy states. Other important concepts include partition functions, phase transitions, and the ergodic hypothesis.

Similar threads

  • Mechanics
Replies
4
Views
1K
Replies
10
Views
1K
Replies
16
Views
1K
  • Other Physics Topics
Replies
6
Views
1K
Replies
12
Views
794
  • Quantum Interpretations and Foundations
Replies
1
Views
737
Replies
8
Views
1K
  • Classical Physics
Replies
5
Views
1K
Replies
3
Views
2K
Replies
4
Views
2K
Back
Top