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howl
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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?
Is the block spin scheme the most popular of them?atyy said:There are several different schemes. For example, one can do it using either decimation or majority rule.
https://ocw.mit.edu/courses/physics...ring-2014/lecture-notes/MIT8_334S14_Lec13.pdf (decimation)
https://arxiv.org/abs/0905.2601 (majority rule)
howl said:Is the block spin scheme the most popular of them?
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.
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.
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.
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.
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.