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Can I read Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models on EtoBox?
Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models by A.C.D. van Enter; W.M. Ruszel is a Mathematics article available to read on EtoBox.
What is Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models about?
We study the Gibbsian character of time-evolved planar rotor systems (that is, systems which have twocomponent, classical X Y , spins) on Z d , d ≥ 2, in the transient regime, evolving with stochastic dynamics and starting from an initial Gibbs measure ν. We model the system with interacting Brownian diffusions X = (X i (t)) t≥0,i∈Z d moving on circles. We prove that for small times t and arbitrary initial Gibbs measures ν, or for long times and both high-or infinite-temperature initial measure and dynamics, the evolved measure ν t stays Gibbsian. Furthermore, we show that for a low-temperature initial measure ν evolving under infinite-temperature dynamics there is a time interval (t 0 , t 1 ) such that ν t fails to be Gibbsian for d ≥ 2.
Who reads Gibbsianness versus non-Gibbsianness of time-evolved planar rotor models?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- A.C.D. van Enter; W.M. Ruszel
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0304-4149)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)