Chaotic temperature dependence at zero temperature
A. C. D. van Enter, W. M. Ruszel
TL;DR
This paper introduces models where the low-temperature Gibbs measures fail to converge as temperature approaches zero, revealing complex behavior in statistical physics.
Contribution
It provides explicit examples of spin models with non-converging Gibbs measures at zero temperature across all dimensions.
Findings
Gibbs measures do not converge at zero temperature
Examples apply to all spatial dimensions
Highlights complex zero-temperature behavior
Abstract
We present a class of examples of nearest-neighbour, boubded-spin models, in which the low-temperature Gibbs measures do not converge as the temperature is lowered to zero, in any dimension.
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