Polymers in Confined Geometry.pdf
Polymers in Confined Geometry.pdf
Polymers in Confined Geometry.pdf
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Glossary<br />
L filament length<br />
lp<br />
persistence length<br />
ɛ = L/lp<br />
flexibility<br />
ld<br />
Odijk deflection length<br />
c = L/ld<br />
collision parameter<br />
s arc length<br />
r(s) trajectory<br />
r⊥(s) = (x(s), y(s)) undulations<br />
r||(s) stored length<br />
ti, t(s)<br />
ˆti<br />
tangent, segment<br />
normalized tangent<br />
l = |ti| segment length<br />
φtt(s, s ′ ) = 〈t(s) · t(s ′ )〉 tangent-tangent correlation function<br />
b Kuhn segment length<br />
N number of segments<br />
v monomer volume<br />
β = (kBT ) −1 <strong>in</strong>verse temperature<br />
H Hamiltonian<br />
Z partition sum<br />
κ bend<strong>in</strong>g modulus<br />
ε <strong>in</strong>teraction energy<br />
d tube diameter (or dimension)<br />
w tube width<br />
γ harmonic potential strength<br />
R(s) distance to current position<br />
R(L) end-to-end distance<br />
p(R) radial distribution function (RDF)<br />
Rg(L) radius of gyrations<br />
R||(L), Ra(L) parallel, apparent end-to-end distance<br />
〈R〉, <br />
R|| , 〈Ra〉 mean (parallel, apparent) end-to-end distance<br />
〈R2 〉, R2 <br />
2<br />
|| , 〈Ra〉 mean-square (parallel, apparent) end-to-end dist.<br />
<br />
2 Rg mean-square radius of gyration<br />
〈x2 (s)〉 mean-square undulation<br />
87
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