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

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A "transient" value in the Ising model refers to states that do not persist over time and are not part of the long-term behavior of the system. During simulations, transient states are often discarded because they do not contribute to the equilibrium properties being studied. The discussion highlights confusion between "transient state" and "transition state," emphasizing the need for clarity in terminology. Understanding how to handle these transient values is crucial for accurate analysis of the model's dynamics. Proper treatment of transient states ensures that the results reflect the system's stable configurations.
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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:

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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?
 

Thread 'Angular Momentum Vector and Its Magnitude'

For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...
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