Energy Levels of Steady States for Thin-Film-Type Equations

We study the steady states and dynamics of a thin-film-type equation with non-conserved mass in one dimension. The evolution equation is a non-linear fourth-order degenerate parabolic partial differential equation (PDE) motivated by a model of volatile viscous fluid films allowing for condensation or evaporation. We show that by changing the sign of the non-conserved flux and breaking from a gradient flow structure, the problem can exhibit novel behaviours including having two distinct classes of co-existing steady-state solutions. Detailed analysis of the bifurcation structure for these steady states and their stability reveals several possibilities for the dynamics. For some parameter regimes, solutions can lead to finite-time rupture singularities. Interestingly, we also show that a finite-amplitude limit cycle can occur as a singular perturbation in the nearly conserved limit.

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PREPARATION AND CHARACTERIZATION OF Zr-DOPED TiN NANOFILM

International Journal of Modern Physics B ◽

10.1142/s0217979207044731 ◽

2007 ◽

Vol 21 (18n19) ◽

pp. 3455-3458

Author(s):

ANPING LIU ◽

YINFENG WANG ◽

XUEHENG YANG

Keyword(s):

Thin Film ◽

Corrosion Resistance ◽

Energy Level ◽

Mixed Crystal ◽

Energy Levels ◽

Energy Band Structure ◽

Reactive Magnetron ◽

Tin Coating ◽

New Energy

The Zr -doped TiN coating, a nanometer (Ti, Zr)N thin film, has been deposited by reactive magnetron sputtering on slides and Al substrates. The crystalline phase and energy band structure have been analyzed by XRD and STS. The results of XRD show that the (Ti, Zr)N film is poly crystalline and consisted of mixed crystal of TiN and ZrN phase. The STS spectra show that Zr -doping didn't change the position and band-gap of energy level, only two new energy levels appeared, Eg = 0.33eV and Eg = 0.42eV. According to the results of measurement, (Ti, Zr)N has higher hardness and better corrosion resistance than TiN by Zr -doping.

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Chapter 4. Superhydrophilic and Superhydrophobic Thin Film Type of Photocatalysts with Self-cleaning Properties

Self-cleaning Coatings - Smart Materials Series ◽

10.1039/9781782623991-00086 ◽

2016 ◽

pp. 86-104 ◽

Cited By ~ 1

Author(s):

Takashi Kamegawa ◽

Hiromi Yamashita

Keyword(s):

Thin Film ◽

Film Type ◽

Self Cleaning

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Direct observation of 1/2 dislocations occurring at steps in thin film type-BCoSi2//Si(111) interfaces

Philosophical Magazine A ◽

10.1080/01418619308222935 ◽

1993 ◽

Vol 68 (6) ◽

pp. 1345-1358 ◽

Cited By ~ 2

Author(s):

A. C. Daykin ◽

C. J. Kiely

Keyword(s):

Thin Film ◽

Direct Observation ◽

Film Type

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Chemical Treatment Influence on the Glass Substrate to the Growth of V2O5/PANI Thin Film

MRS Proceedings ◽

10.1557/proc-1230-mm06-07 ◽

2009 ◽

Vol 1230 ◽

Cited By ~ 1

Author(s):

Elidia M. Guerra ◽

Mirela C. Santos ◽

Rodrigo Fernando Bianchi

Keyword(s):

Thin Film ◽

Chemical Treatment ◽

Energy Levels ◽

Direct Reaction ◽

Absorption Bands ◽

Lbl Films ◽

Ammonia Detection ◽

Cetyl Pyridinium ◽

Uv Ozone

AbstractGrowth of the vanadium pentoxide xerogel in the presence of the polyaniline thin film (V2O5/PANI) in different chemical treatment on substrate are presented. The in situ characterization studies revealed the presence of a lamellar structure for the V2O5/PANI hybrid material. The intercalation reaction was evidenced on the basis of the increase in the d-spacing as well as the displacement of the absorption bands toward lower energy levels. The growth of V2O5/PANI thin film, from direct reaction, on glasses substrate using pre-treated with cationic surfactant cetyl pyridinium chloride (CPC) and cetyl trimethylammonium bromide (CTAB) presented layers with a surface homogeneous. The UV/ozone and RCA treatment showed that the film had low adhesion on substrate compared with CPC and CTAB treatment. Furthermore, these results suggests that the CTAB and CPC treatment can be used, further, for V2O5/PANI LbL films using V2O5 gel as first layer as well as a promising candidate for applications as sensor for ammonia detection in poultry shed.

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