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1984•Progress of Theoretical PhysicsOpen access

A Random Potts Model with Different Number of Potts Spin States

Sasuke Miyazima

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Abstract

A simple random Potts model which consists of a mixture of p-state and q-state Potts spins with p > q is considered within the molecular field approximation. Two different cases are studied: i. The excess states (q +1 to p-th states) of the p-state Potts spins have no interaction with the q-state Potts spins. ii. p = 2q and its excess states (q + 1 to 2q-th states) interact with the q-state Potts spins like the first q-states of the p-state Potts spins. The variation of the order parameters with temperature and the transition temperature of the mixture are calculated.

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A simple random Potts model which consists of a mixture of p-state and q-state Potts spins with p > q is considered within the molecular field approximation. Two different cases are studied: i. The excess states (q +1 to p-th states) of the p-state Potts spins have no interaction with the q-state Potts spins. ii. p = 2q and its excess states (q + 1 to 2q-th states) interact with the q-state Potts spins like the first q-states of the p-state Potts spins. The variation of the order parameters with temperature and the transition temperature of the mixture are calculated.

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Available abstract

A simple random Potts model which consists of a mixture of p-state and q-state Potts spins with p > q is considered within the molecular field approximation. Two different cases are studied: i. The excess states (q +1 to p-th states) of the p-state Potts spins have no interaction with the q-state Potts spins. ii. p = 2q and its excess states (q + 1 to 2q-th states) interact with the q-state Potts spins like the first q-states of the p-state Potts spins. The variation of the order parameters with temperature and the transition temperature of the mixture are calculated.

Key concepts: Potts model, Spins, Chiral Potts curve, Physics, Condensed matter physics, Spin (aerodynamics), State (computer science), Phase transition

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