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- W2079593222 abstract "Abstract We consider a classical system of particles, consisting of two-dimensional unit vectors associated with a one-dimensional lattice u k|k ∊ Z and interacting via translationally invariant pair potential(s) here m is a positive integer and T m is a Tchebyshev polynomial of the first kind where ϕ are the angles defining the orientations of the plane rotators in an arbitrary reference frame. For the case m = 1, Fröhlich et al. have proved rigorously the existence of a ferromagnetically ordered phase at low but finite temperature; moreover, all the potential models W m give the same partition function, and several mean values can be defined in an m-independent way. For example, when m = 2, this entails the existence of nematic-like order. The system was characterized quantitatively by Monte Carlo simulation, and calculations were performed in the nematic representation (m = 2); simulation results suggest a second-order transition at T∗c = (≡ kT∗c/ε) = 2.16 ± 0.01. Comparison with molecular field and spherical model treatments is also reported: the former, but not the latter, agrees reasonably well with the simulation results." @default.
- W2079593222 created "2016-06-24" @default.
- W2079593222 creator A5035531152 @default.
- W2079593222 date "1988-09-01" @default.
- W2079593222 modified "2023-09-26" @default.
- W2079593222 title "Computer simulation study of a one dimensional plane rotator system with long-range interactions" @default.
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- W2079593222 doi "https://doi.org/10.1080/02678298808086579" @default.
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