Critical Behaviour
For the critical temperature occurs at absolute zero, resulting in no phase transition for the spherical model. For d greater than 2, the spherical model exhibits the typical ferromagnetic behaviour, with a finite Curie temperature where ferromagnetism ceases. The critical behaviour of the spherical model was derived in the completely general circumstances that the dimension d may be a real non-integer dimension.
The critical exponents and in the zero-field case which dictate the behaviour of the system close to were derived to be
which are independent of the dimension of d when it is greater than four, the dimension being able to take any real value.
Read more about this topic: Spherical Model
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