Is Block Spin Still ±1 in Ising Model?

In summary, there are several different schemes for applying the block spin scheme on Ising model, including decimation and majority rule. These schemes are all forms of "block spin", which was originally proposed by Kadanoff. However, nowadays the term refers to all variant schemes with the same underlying idea.
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When one applies block spin scheme on Ising model, what's the value for block spin? If we set the average value for spin in a block, it should not be ±1 anymore. But if so, is the transfer matrix is still two dimensional?
 
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1. What is block spin and why is it important in science?

Block spin refers to the spin of particles in a block or group, rather than individual particles. It is important in science because it helps us understand and predict the behavior of particles in large systems, such as in quantum mechanics and statistical mechanics.

2. What does it mean for block spin to be ±1?

When block spin is ±1, it means that the average spin of a block of particles is either +1 or -1. This indicates the direction of the particles' spin and can have implications for their interactions with other particles and their overall behavior.

3. Is block spin still relevant in modern scientific research?

Yes, block spin is still an important concept in modern scientific research. It is commonly used in studies of quantum systems, magnetic materials, and phase transitions.

4. Can block spin be measured or observed directly?

No, block spin cannot be measured or observed directly. It is a theoretical concept used to describe the average spin of a group of particles. However, scientists can indirectly infer the spin of particles through experiments and observations.

5. How does block spin relate to other concepts in physics?

Block spin is closely related to other concepts in physics, such as angular momentum, spin, and magnetization. It is also important in understanding the behavior of particles in different phases, such as ferromagnetism and superfluidity.

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