Evolution of Configurational Entropy

  • Context: Graduate 
  • Thread starter Thread starter BigBugBuzz
  • Start date Start date
  • Tags Tags
    Entropy Evolution
Click For Summary
SUMMARY

The discussion centers on the feasibility of calculating the evolution of Configurational Entropy in a simulation of particles undergoing Brownian Motion. The initial configuration involves particles arranged in a square, which then transition to free movement. It is established that using classical models, such as the "billiard ball" model, is insufficient due to the infinite number of allowed microstates. Instead, quantum mechanics is necessary for accurate entropy computation, rendering the proposed simulation ineffective for this purpose.

PREREQUISITES
  • Understanding of Brownian Motion and its implications in physics.
  • Familiarity with the concept of Configurational Entropy.
  • Knowledge of classical and quantum mechanics principles.
  • Experience with simulation modeling techniques.
NEXT STEPS
  • Research quantum mechanics applications in entropy calculations.
  • Explore advanced simulation techniques for particle dynamics.
  • Study the relationship between ergodicity and Configurational Entropy.
  • Investigate alternative models for simulating particle interactions beyond classical mechanics.
USEFUL FOR

Physicists, computational scientists, and anyone interested in the intersection of simulation modeling and thermodynamic principles, particularly in the context of entropy and particle dynamics.

BigBugBuzz
Messages
3
Reaction score
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?
 
Science news on Phys.org
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?
 
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.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
7K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 25 ·
Replies
25
Views
8K
  • · Replies 4 ·
Replies
4
Views
2K