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Surfaces in solid dynamics and fluid...

Chen, Haoyu Henry.

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Surfaces in solid dynamics and fluid statics.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Surfaces in solid dynamics and fluid statics./
Author:	Chen, Haoyu Henry.
Description:	89 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0322.
Contained By:	Dissertation Abstracts International66-01B.
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3161168
ISBN:	0496947826

Surfaces in solid dynamics and fluid statics.
Chen, Haoyu Henry.

Surfaces in solid dynamics and fluid statics. - 89 p.

Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0322.

Thesis (Ph.D.)--Harvard University, 2005.

In the first part of this work we formulate a nonperturbative, local description of the dynamics of surfaces under ion bombardment. Our theory has the form of a nonlinear advection equation with a fourth order diffusive term. This partial differential equation admits shock wave solutions with a selected velocity, which correspond to steep propagating steps on the surface. This selection mechanism provides a precise test of the transport and sputtering processes on the surface. Our equation also provides an efficient means of simulating sputtering effects on any surface with regions of high slope.

ISBN: 0496947826Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Surfaces in solid dynamics and fluid statics.
LDR:02041nmm 2200301 4500 001 1814632
005 20060719075844.5
008 130610s2005 eng d
020 $a 0496947826
035 $a (UnM)AAI3161168
035 $a AAI3161168
040 $a UnM $c UnM
100 1 $a Chen, Haoyu Henry. $3 1904093
245 1 0 $a Surfaces in solid dynamics and fluid statics.
300 $a 89 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-01, Section: B, page: 0322.
500 $a Adviser: Michael P. Brenner.
502 $a Thesis (Ph.D.)--Harvard University, 2005.
520 $a In the first part of this work we formulate a nonperturbative, local description of the dynamics of surfaces under ion bombardment. Our theory has the form of a nonlinear advection equation with a fourth order diffusive term. This partial differential equation admits shock wave solutions with a selected velocity, which correspond to steep propagating steps on the surface. This selection mechanism provides a precise test of the transport and sputtering processes on the surface. Our equation also provides an efficient means of simulating sputtering effects on any surface with regions of high slope.
520 $a The second part presents a method of optimization for the problem of liquid droplet reduction. We work in the adiabatic limit, wherein the droplet can be calculated by balancing pressure and surface tension. We show a bifurcation at a critical pressure and find a relationship between this pressure and the shape of the nozzle which forms the boundary of the droplet surface. Our formalism yields an algorithm for changing the nozzle shape such that the droplet volume is minimized. A numerical example demonstrates a reduction in volume of 20%.
590 $a School code: 0084.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Materials Science. $3 1017759
690 $a 0611
690 $a 0346
690 $a 0794
710 2 0 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 66-01B.
790 1 0 $a Brenner, Michael P., $e advisor
790 $a 0084
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3161168