10 research outputs found
Absence of anomalous negative lattice-expansion for polycrystalline sample of Tb2Ti2O7
High resolution X-ray powder-diffraction experiments on a well-characterized
polycrystalline sample of the spin liquid Tb2Ti2O7 reveal that it shows normal
positive thermal-expansion above 4 K, which does not agree with the intriguing
anomalous negative thermal-expansion due to a magneto-elastic coupling reported
for a single crystal sample below 20 K. We also performed a Rietveld profile
refinement of a powder-diffraction pattern taken at a room temperature, and
confirmed that it is consistent with the fully ordered cubic pyrochlore
structure.Comment: 2 pages, 3 figure
Abelian Manna model on various lattices in one and two dimensions
We perform a high-accuracy moment analysis of the avalanche size, duration
and area distribution of the Abelian Manna model on eight two-dimensional and
four one-dimensional lattices. The results provide strong support to establish
universality of exponents and moment ratios across different lattices and a
good survey for the strength of corrections to scaling which are notorious in
the Manna universality class. The results are compared against previous work
done on Manna model, Oslo model and directed percolation. We also confirm
hypothesis of various scaling relations.Comment: 16 pages, 3 figures, 7 tables, submitted to Journal of Statistical
Mechanic