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标 题: 套瓷信样本 <br>
发信站: 飘渺水云间 (Fri Jul 20 13:13:46 2001), 转信 <br>
<br>
我英语不行,到家将就看吧. <br>
我觉得一定要把自己做过的工作进行详细介绍. <br>
My name is XX, a PH.D candidate of XXX. <br>
I got your email address from WWW and I am very interested in your research <br>
field. This message is to ask for the information of the PH.D and Postdoctor <br>
al program of <br>
your group. <br>
I have published 5 papers(see the attachment for my paper list written by La <br>
tex <br>
convention) since 1996, including different topics: Controlling Chaos, Dynam <br>
ics, <br>
and Bio-membranes. The two papers of Bio-membrane were both finished in this <br>
<br>
year, one is to discuss the pattern formation of periodic square <br>
texture(egg-carton) in Lipid bilayers; the other is to discuss the Complex <br>
vesicle under the framework of the spontaneous curvature energy model. <br>
Iam also interested in Polymer dynamics, DNA structure transition and have r <br>
ead <br>
many related papers. In fact, I have started to do some calculations in this <br>
<br>
field. <br>
Would you please to consider my application to join your group, especially <br>
as a graduate student under your guidance? The reasons I want to obtain my P <br>
H.D <br>
there are: 1). A PH.D obtained in such a famous University will be helpful t <br>
o get a <br>
good research position when I come back; 2). I want to be educated at a high <br>
<br>
level since my dream is to be a successful researcher in the future. <br>
Looking to your message. <br>
Best regards! <br>
Yours, XX. <br>
BTW: The following is an introduction to my works: <br>
1. XX, \"Title\" (accepted by Phy.\\ Rev.\\ E\\ and <br>
scheduled tentatively for the issue of: XXX ). <br>
With numerical approach, we obtain a catalog of non-axisymmetric vesicle sha <br>
pes <br>
for the first time in the study of membrane configurations with the Spontane <br>
ous <br>
Curvature (SC) model. <br>
The software we used to search for the surfaces is the ``Surface Evolver\"(S <br>
E) <br>
package of computer programs (developed by Kenneth A. Brakke as one of the <br>
main projects of the Geometry Center of the University of Minnesota) which i <br>
nitially <br>
served to devote to minimal surfaces and constant mean curvature surfaces by <br>
<br>
mathematicians and in principle is based on the discretization of the curvat <br>
ure <br>
energy, the area, and the volume on a triangulated surface. The energy in th <br>
e SE <br>
can be a combination of surface tension, gravitational energy, squared mean <br>
curvature, etc.. The constraints allowed for the software can be geometrical <br>
<br>
constraints on vertex positions or constraints on integrated quantities such <br>
<br>
as body volume, surface area, etc.. All such the constraints can also be <br>
incorporated in the bending energy by which we then are able to generize th <br>
e SE into the present study, searching for non-axisymmetric vesicle shapes. <br>
The <br>
resulting total energy is minimized by a gradient descent procedure, and the <br>
<br>
resulting shape is a local energy minimum with the result of a lenthy numeri <br>
cal <br>
simulation. <br>
We report a catalog of interesting shapes including a {\\sl corniculate} sha <br>
pe <br>
with six corns, a quadri-concave shape, a shape resembling {\\sl sickle cell <br>
s}, <br>
a shape resembling {\\sl acanthocytes}, and two {\\sl tube} like shapes. Mos <br>
t of <br>
these shapes can be related to experimental observations in red blood cells <br>
(RBCs) and other experiments in fluid membrane all of which have not been <br>
treated in theory for a long time untill the present work. In addition, we <br>
get a locally stable convex four-fold symmetric starfish with a convex core <br>
and four arms, which is <br>
different from the reported starfishes with flat core by other <br>
authors. The study shows there may exist a critical positive value of <br>
spontanoeus curvarure below which the formation of starfish like vesicles is <br>
inhibited. <br>
2. XX, \"Title\", Mod.Phys.Lett. B {\\bf XX}, No.XX (1998). <br>
The instability and periodic deformation of bilayer membranes during freezin <br>
g <br>
processes are studied as a function of the difference of the shape energy <br>
between the high and the low temperature membrane states. <br>
It is shown that there exists a threshold stability condition, bellow which <br>
a planar configuration will be deformed. Among the deformed shapes,the perio <br>
dic <br>
curved square textures are shown being one kind of thesolutions of the <br>
associated shape equation. The optimal ratioof period and amplitude for such <br>
a <br>
texture is found to be approximatelyequal to $\\sqrt{2}\\pi$, which is good <br>
in consistency with the recent experimental observations. <br>
3. XX, \"Title\", Phys.\\ Lett.\\ A\\ {\\bf XX}, XX (1997). <br>
For the purpose of controlling chaos, we describe a method to eliminate the <br>
deviations <br>
of the trajectories from the desired orbit in the fastest way, independent o <br>
f the orbit <br>
being periodic or not. This is especially useful for cases where the OGY(Ott <br>
, Grebogi and <br>
Yorke) method does not work, namely when the disired orbit has complex eigen <br>
values, the <br>
eigenvalues in the stable eigendirections are near unity, and the unstable m <br>
anifold is <br>
multi-dimensional. Application for many aspects concerning chaos control are <br>
discussed. <br>
We demonstrate the method by an application to the control of the kicked dou <br>
ble rotor map <br>
in the presence of noise. <br>
4. XX, \"Nonlinear differential <br>
delay equations using the Poincare section technique \", <br>
Phys.\\ Rev.\\ E\\ {\\bf XX}, XX (1996). <br>
This paper shows that the Poincare section technique is a powerful tool for <br>
representing the <br>
solutions of differential delay equations(DDEs). The tool enables us to conv <br>
eniently <br>
identify the periodicity of solutions of a DDE. With this tool we illustrate <br>
d the fine <br>
structure, including the Farey tree structure, of the bifurcation diagram wi <br>
th a DDE <br>
related to optical bistability. <br>
5. \\bibitem{5} XX, \"Title\", Phys.\\ Rev.\\ E.\\ {\\bf XX}, XX (1996). <br>
We presented a mathematical framework for describing the allowable forms of <br>
perturbations <br>
of a control parameter for the purpose of controlling chaos. The paper exten <br>
ds the idea <br>
initially proposed by Ott, Grebogi, and Yorke in 1990. Among the allowable f <br>
eedback <br>
forms, those that don\'t include the coordinates of the desired control obje <br>
ct explicitly <br>
provide a natural way to go about tracking, especially when the parameter ch <br>
anges are <br>
involuntary. Another benifit of the method is that the control can be implem <br>
ented by using <br>
of the earlier states of the system as the feedback information. The method <br>
can be <br>
conveniently used to deal with an experimental system in the absence a prior <br>
i mathematical <br>
system model where the delay coordinates are used. <br>
The paper list: <br>
\\begin{thebibliography}{17} <br>
XX <br>
XX <br>
\\end{thebibliography} <br>
My CV: <br>
<br>
-- <br>
※ 来源:·飘渺水云间 Freecity.dhs.org·[FROM: Wula] <br>
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