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

In summary, the discussion is about the term "transient state" in the context of the Ising model. It is mentioned in the source code as well as in two texts discussing Markov chains and game simulations. It is unclear if these texts are related to the source code and there is some confusion about whether the term is "transient state" or "transition state." The conversation also touches on how these values should be treated during simulations and whether they should be discarded.
  • #1
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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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  • #2
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?
 

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

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

In the Ising model, a "transient" value refers to a state of the system that is not yet at equilibrium. This means that the system is still evolving and has not reached a stable configuration. Transient values are important to consider in the study of the Ising model as they can provide insight into the behavior of the system over time.

How is a "transient" value different from an "equilibrium" value in the Ising model?

An "equilibrium" value in the Ising model refers to a state where the system has reached a stable configuration and is no longer evolving. In contrast, a "transient" value is a state where the system is still evolving and has not yet reached stability. Essentially, a transient value is a temporary state while an equilibrium value is a permanent state.

Can "transient" values be predicted in the Ising model?

Yes, "transient" values can be predicted in the Ising model through computer simulations and mathematical models. By studying the behavior of the system over time, scientists can make predictions about how long it will take for the system to reach equilibrium and what transient values may occur during that time.

What factors can influence the occurrence of "transient" values in the Ising model?

There are several factors that can influence the occurrence of "transient" values in the Ising model. These include the initial conditions of the system, the strength of the interactions between particles, and the temperature of the system. Other external factors, such as external magnetic fields, can also impact the occurrence of transient values.

Why are "transient" values important in the study of the Ising model?

Transient values are important in the study of the Ising model because they can provide insight into the behavior of the system over time. By understanding how the system evolves and reaches equilibrium, scientists can gain a better understanding of the underlying principles and mechanisms of the Ising model. Additionally, transient values can also have practical applications, such as in the development of new materials or technologies.

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