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Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity

Diptonil Banerjee1 , S. Mitra2

Section:Research Paper, Product Type: Conference Paper
Volume-03 , Issue-01 , Page no. 102-110, Feb-2015

Online published on Feb 18, 2015

Copyright © Diptonil Banerjee, S. Mitra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Diptonil Banerjee, S. Mitra, “Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity,” International Journal of Computer Sciences and Engineering, Vol.03, Issue.01, pp.102-110, 2015.

MLA Style Citation: Diptonil Banerjee, S. Mitra "Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity." International Journal of Computer Sciences and Engineering 03.01 (2015): 102-110.

APA Style Citation: Diptonil Banerjee, S. Mitra, (2015). Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity. International Journal of Computer Sciences and Engineering, 03(01), 102-110.

BibTex Style Citation:
@article{Banerjee_2015,
author = {Diptonil Banerjee, S. Mitra},
title = {Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {2 2015},
volume = {03},
Issue = {01},
month = {2},
year = {2015},
issn = {2347-2693},
pages = {102-110},
url = {https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=15},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.ijcseonline.org/full_spl_paper_view.php?paper_id=15
TI - Different Competitive Growth Model for Finite Size Scaling Study of Rough Surfaces: A Smart Approach for Estimating Hydrophobicity
T2 - International Journal of Computer Sciences and Engineering
AU - Diptonil Banerjee, S. Mitra
PY - 2015
DA - 2015/02/18
PB - IJCSE, Indore, INDIA
SP - 102-110
IS - 01
VL - 03
SN - 2347-2693
ER -

           

Abstract

Rough surface has been produced by simulation in 1+1 dimension following different competitive growth models namely random deposition with ballistic deposition and random deposition with surface relaxation with ballistic deposition and calculated the corresponding scaling exponent. It is seen that though the nature of the interface evolution follows the well-established Edwards-Wilkinson growth model or Kardar–Parisi–Zhang model but the values of corresponding scaling exponents do not match exactly with the existing literature. Further it has been seen that the system does not switch over from growth region to saturation region suddenly after a single critical time as has been suggested by the existing theories but there are two distinct crossover regions where the system shows different scaling property. This theoretical finding has been coupled with existing Cassie-Baxter equation to relate the evolved roughness with hydrophobic response of the surface. In this regard, quantitative expression of the water contact angle based on simple assumptions has been represented.

Key-Words / Index Term

Scaling, discrete models for surface growth, Ballistic phenomena, Roughness, Hydrophobicity

References

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