How did Gibbs come up with the idea that particles are indistinguishable?

In summary, Gibbs proposed treating particles as indistinguishable to resolve his paradox. This idea was an ad hoc approach, but it led to the discovery of quantum mechanics. Despite being published in an obscure journal, Gibbs' insights were eventually recognized and reproduced by others.
  • #1
kof9595995
679
2
To resolve Gibbs paradox, Gibbs himself came up the idea to treat particles as indistinguishable. Since by then QM hadn't been discovered, how did Gibbs argue that particles indistinguishable? In any classical sense, particles should be distinguishable, if Gibbs did it only to resolve the paradox, wouldn't it be ad hoc?
 
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  • #2
kof9595995 said:
To resolve Gibbs paradox, Gibbs himself came up the idea to treat particles as indistinguishable. Since by then QM hadn't been discovered, how did Gibbs argue that particles indistinguishable? In any classical sense, particles should be distinguishable, if Gibbs did it only to resolve the paradox, wouldn't it be ad hoc?

The discretization of energy was an ad hoc act of desperation and mathematical manipulation on Planck's part to resolve the "ultarviolet catastrophe". It led to QM.

So what's wrong with the ad hoc approach?
 
  • #3
kof9595995 said:
How did Gibbs come up with the idea that particles are indistinguishable?

Creativity :smile:
 
  • #4
Pythagorean said:
The discretization of energy was an ad hoc act of desperation and mathematical manipulation on Planck's part to resolve the "ultarviolet catastrophe". It led to QM.

So what's wrong with the ad hoc approach?

That makes sense, but it seems that this idea didn't cause enough attention and debates than it deserved.
 
  • #5
I think the main reason for the lack of attention was that Gibbs published in an obscure journal in Connecticut, and most of his insights became clearer after other people had independently reproduced his results.
 

1. How did Gibbs come up with the idea that particles are indistinguishable?

Gibbs came up with the idea by observing and analyzing the behavior of particles in thermodynamic systems. He noticed that the properties of particles, such as mass and energy, were interchangeable and could not be uniquely identified, leading him to propose the concept of indistinguishability.

2. What evidence supports Gibbs' idea that particles are indistinguishable?

The evidence includes experiments that show the exchangeability of identical particles in a system, as well as theoretical arguments based on statistical mechanics and quantum mechanics.

3. How does the idea of particle indistinguishability fit into the broader understanding of physics?

The idea of particle indistinguishability is a fundamental concept in both classical and quantum mechanics. It helps explain various phenomena, such as the behavior of gases and the structure of matter, and is essential for understanding the statistical behavior of particles in a system.

4. Why is it important to consider particles as indistinguishable?

Considering particles as indistinguishable allows for a more accurate description of the behavior of systems and leads to more precise predictions in thermodynamics and statistical mechanics. It also plays a crucial role in understanding the concept of entropy and the laws of thermodynamics.

5. Are there any exceptions to the idea that particles are indistinguishable?

In classical mechanics, particles are considered distinguishable, but this breaks down in the quantum realm. In quantum mechanics, particles such as electrons, protons, and neutrons are all considered indistinguishable. However, particles with different properties, such as spin, can still be distinguished from one another.

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