discrete-grains-model · research · also rectangular-grain model

Discrete-grains model

The discrete-grains model represents a magnetic recording medium as a tiling of grains drawn from a finite set of shapes.

Related Observatory article: Discrete-grains model on hesela.com

A common tileset uses 1 x 1, 1 x 2, 2 x 1 and 2 x 2 rectangles. Grain proportions alone do not specify a distribution over complete tilings. [1]

In the reviewed raster-write model, a grain takes the polarity of the last bit written to it. Multiple bit locations within one grain therefore do not provide independent stored values. [2]

Geometric model tiles are different from lithographically fabricated magnetic islands in bit-patterned media. [3]

Relations

related
Bit-patterned media, Shingled magnetic recording (SMR), Areal density

Citations

  1. Das and Kashyap. MCMC Methods for Drawing Random Samples from the Discrete-Grains Model of a Magnetic Medium; sections I, III-VI. (accessed 2026-10-20)
  2. Carosino et al. Iterative Detection and Decoding for the Four-Rectangular-Grain TDMR Model. arXiv:1309.7518v1 (2013), sections II-IV. (accessed 2026-10-20)
  3. Albrecht et al. Bit Patterned Magnetic Recording: Theory, Media Fabrication, and Recording Performance. arXiv:1503.06664v1 (2015), section I. (accessed 2026-10-20)
Sources & caveats
  • Scope: the cited rectangular-grain research models, not a manufacturing process or a specification for current HDDs.
  • Source review only. No detector, sampling algorithm or physical medium was reproduced.

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Hesela team. Discrete-grains model. Hesela. 2026-10-20. https://hesela.dev/terms/discrete-grains-model/