Orientational ordering transition in a continuous-spin ferrofluid

Silvano Romano and Valentin A. Zagrebnov

Physica A: Statistical Mechanics and its Applications, 1998, vol. 253, issue 1, 483-497

Abstract: We have considered a classical system, consisting of particles with centre-of-mass coordinates x∈Rd and equipped with a one-component spin σx∈R1; their pairwise additive interaction potential is defined by W(x,σx,y,σy)=Φ(∥x−y∥)−J(∥x−y∥)σxσy, where Φ(∥x−y∥) contains a hard-core term and J(∥x−y∥)⩾0. We prove the existence of orientational long-range order (magnetization) for large chemical potentials and low temperatures, when d⩾2; the same result holds for d=1 and long-range ferromagnetic interactions. Our general model can be realized by extremely anisotropic interaction potentials involving continuous multi-component spins, where only one component is involved in the coupling.

Keywords: Statistical mechanics; Rigorous results; Ferrofluids; Ordering transitions (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:253:y:1998:i:1:p:483-497

DOI: 10.1016/S0378-4371(97)00669-9

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