Lattice model of sweeping interface for drying process in water-granule mixture
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Lattice model of sweeping interface for drying process in water-granule mixture. / Nakanishi, Hiizu; Yamamoto, Ryo; Hayase, Yumino; Mitarai, Namiko.
I: Journal of the Physical Society of Japan, Bind 76, Nr. 2, 024003, 01.02.2007.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Lattice model of sweeping interface for drying process in water-granule mixture
AU - Nakanishi, Hiizu
AU - Yamamoto, Ryo
AU - Hayase, Yumino
AU - Mitarai, Namiko
PY - 2007/2/1
Y1 - 2007/2/1
N2 - Based on the invasion percolation model, a lattice model for the sweeping interface dynamics is constructed to describe the pattern forming process by a sweeping interface upon drying the water-granule mixture. The model is shown to produce labyrinthine patterns, that are highly branched without any loop structure in clusters as those found in the experiment [Yamazaki and Mizuguchi: J. Phys. Soc. Jpn. 69 (2000) 2387]. Resulting patterns undergo the percolation transition upon changing the initial granular density, but estimated critical exponents are different from those of the conventional percolation. Loopless structure of clusters in the patterns produced by the sweeping dynamics seems to influence the nature of the transition.
AB - Based on the invasion percolation model, a lattice model for the sweeping interface dynamics is constructed to describe the pattern forming process by a sweeping interface upon drying the water-granule mixture. The model is shown to produce labyrinthine patterns, that are highly branched without any loop structure in clusters as those found in the experiment [Yamazaki and Mizuguchi: J. Phys. Soc. Jpn. 69 (2000) 2387]. Resulting patterns undergo the percolation transition upon changing the initial granular density, but estimated critical exponents are different from those of the conventional percolation. Loopless structure of clusters in the patterns produced by the sweeping dynamics seems to influence the nature of the transition.
KW - Drying process
KW - Granular system
KW - Interface dynamics
KW - Invasion percolation
KW - Pattern formation
KW - Sweeping interface
UR - http://www.scopus.com/inward/record.url?scp=33847400227&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.76.024003
DO - 10.1143/JPSJ.76.024003
M3 - Journal article
AN - SCOPUS:33847400227
VL - 76
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 2
M1 - 024003
ER -
ID: 236011513