What is a "transient" value in the Ising model?

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SUMMARY

A "transient" value in the Ising model refers to states that do not persist over time and are not part of the system's long-term behavior. During simulations, these transient states are typically discarded to focus on the absorbing states that reflect the system's equilibrium. The discussion highlights the importance of distinguishing between transient and absorbing states, particularly in the context of Markov chains, where transient states are crucial for initializing simulations but do not contribute to the final outcomes.

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  • Understanding of the Ising model and its application in statistical mechanics.
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  • Knowledge of simulation techniques used in computational physics.
  • Basic proficiency in C# programming for analyzing source code related to the Ising model.
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Researchers in statistical mechanics, computational physicists, and software developers working on simulations of the Ising model or similar systems will benefit from this discussion.

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TL;DR
What is a "transient" value, result, or state in the Ising model?

How do we treat these values during the simulation?

Do we discard these values? If so, why?
What is a "transient" value, result, or state in the Ising model?

How do we treat these values during the simulation?

Do we discard these values? If so, why?
 
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I was analyzing this source code of the Ising model. I found the term "transient state".

I also found the term in this text:

There are two absorbing states in this Markov chain because once either Jane or Eddie wins, the game is over, and the die is not rolled again. That the winner’s side of the die remains up forever is reflected in the value of unity along the diagonal and the value of zero in the nondiagonal elements for states 1 and 2. Also note that one of the 10 sides must be up, and so the sum of all the elements in each row of Mdie must be unity. We multiply the matrix Mdie on the left-hand side by a unit row vector VT with a 1 in the state the die is in before it is rolled. For the game to start the initial vector must be in the transient state, that is, it must be in state 3.
And, in this text:

dJSYB.png
However, firstly, I am not sure if these texts are related to the C# source code.
Secondly, I am not sure if that term is "transient state" or "transition state."

What is a "transient" state in an Ising model?

How do we treat these values during the simulation?

Do we discard these values? If so, why?
 

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