Evolution of Configurational Entropy

In summary, the speaker asks if it is possible to calculate the evolution of Configurational Entropy for a simulation where particles move according to Brownian Motion. They provide background information and a link for further reading. Another person responds that it is not possible to compute this using the classical model and suggests using quantum mechanics instead.
  • #1
BigBugBuzz
3
0
My background is not physics. This might be simple for many of you. I wonder if the following is possible.

I wish to build a simulation, where ‘particles’ move about on the monitor according to Brownian Motion. Initially, at t = 1, particles are confined to square arrangement, but are then free to move about.

Is it possible to calculate the evolution of Configurational Entropy for a given simulation run? If so, how?
 
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  • #2
hmm, hadda go look up the term "Configurational Entropy", so I'm probably not the best resource. It sounds like it may be an "overloaded" concept. I found this which might be of help:
http://www.foundalis.com/phy/2lot.htm

What you may want is the ratio of configurations (or states) that are "of interest" to the total possible. The "of interest" thing might be your starting square. If there is some system constraint that tends to keep it in that state then its evolution will not be "ergodic" -- it won't visit all possible states with equal probability. If its not ergodic then it could be said to have some "order". Is that what you are after?
 
  • #3
BigBugBuzz said:
My background is not physics. This might be simple for many of you. I wonder if the following is possible.

I wish to build a simulation, where ‘particles’ move about on the monitor according to Brownian Motion. Initially, at t = 1, particles are confined to square arrangement, but are then free to move about.

Is it possible to calculate the evolution of Configurational Entropy for a given simulation run? If so, how?

No. You cannot compute it with the classical "billiard ball" model since you run into the old problem that there are infinitely many allowed microstates in your model.
Entropy of such systems is computed using quantum mechanics, in which case your simulation fails.
 

FAQ: Evolution of Configurational Entropy

What is configurational entropy?

Configurational entropy is a measure of the disorder or randomness of a system. In the context of evolution, it refers to the diversity of different configurations or arrangements that a system or population can take on.

How does configurational entropy relate to evolution?

In evolution, configurational entropy plays a crucial role in driving the diversity and complexity of species. As organisms evolve and adapt to their environments, they develop new configurations and traits that increase their chances of survival and reproduction. This leads to an increase in configurational entropy within a population.

Can configurational entropy decrease during the process of evolution?

While configurational entropy typically increases over time as a result of evolution, there are cases where it can decrease. This can occur when a population becomes more specialized and streamlined for a specific environment, resulting in a decrease in the diversity of configurations within the population.

How is configurational entropy measured in evolutionary processes?

Configurational entropy can be quantified using mathematical models and statistical analysis. This involves measuring the diversity of configurations within a population and comparing it to the expected diversity based on random chance.

What are some practical applications of understanding configurational entropy in evolution?

Understanding configurational entropy can help us predict how populations will evolve and adapt to changing environments. It can also aid in identifying key factors that contribute to the increase or decrease of configurational entropy, potentially leading to more effective conservation and management strategies for endangered species.

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