## Abstract

A disordered n-vector model with p spin interactions is introduced and studied in mean field theory for the annealed case. The complete solutions for the cases n = 2 and n = 3, is presented and explicit order parameter equations is given for all the stable solutions for arbitrary n. For all n and p was found on stable high temperature phase and one stable low temperature phase. The phase transition is of first order. For n = 2, it is continuous in the order parameters for p {<=} 4 and has a jump discontinuity in the order parameters if p > 4. For n = 3, it has a jump discontinuity in the order parameters for all p. 11 refs., 4 figs.

## Citation Formats

Taucher, T, and Frankel, N E.
Annealed n-vector p spin model.
Australia: N. p.,
1992.
Web.

Taucher, T, & Frankel, N E.
Annealed n-vector p spin model.
Australia.

Taucher, T, and Frankel, N E.
1992.
"Annealed n-vector p spin model."
Australia.

@misc{etde_10109004,

title = {Annealed n-vector p spin model}

author = {Taucher, T, and Frankel, N E}

abstractNote = {A disordered n-vector model with p spin interactions is introduced and studied in mean field theory for the annealed case. The complete solutions for the cases n = 2 and n = 3, is presented and explicit order parameter equations is given for all the stable solutions for arbitrary n. For all n and p was found on stable high temperature phase and one stable low temperature phase. The phase transition is of first order. For n = 2, it is continuous in the order parameters for p {<=} 4 and has a jump discontinuity in the order parameters if p > 4. For n = 3, it has a jump discontinuity in the order parameters for all p. 11 refs., 4 figs.}

place = {Australia}

year = {1992}

month = {Dec}

}

title = {Annealed n-vector p spin model}

author = {Taucher, T, and Frankel, N E}

abstractNote = {A disordered n-vector model with p spin interactions is introduced and studied in mean field theory for the annealed case. The complete solutions for the cases n = 2 and n = 3, is presented and explicit order parameter equations is given for all the stable solutions for arbitrary n. For all n and p was found on stable high temperature phase and one stable low temperature phase. The phase transition is of first order. For n = 2, it is continuous in the order parameters for p {<=} 4 and has a jump discontinuity in the order parameters if p > 4. For n = 3, it has a jump discontinuity in the order parameters for all p. 11 refs., 4 figs.}

place = {Australia}

year = {1992}

month = {Dec}

}