What pore geometries work best: Sharp or smooth? This is a key question in the design of a variety of artificial nanodevices. Numerical simulation indicates that Brownian diffusion along a corrugated channel of assigned cross section is larger for cusp-like pores.

1.
P.
Hänggi
and
F.
Marchesoni
,
Rev. Mod. Phys.
81
,
387
(
2009
).
2.
See, for a review,
P. S.
Burada
,
P.
Hänggi
,
F.
Marchesoni
,
G.
Schmid
, and
P.
Talkner
,
ChemPhysChem
10
,
45
(
2009
).
3.
R.
Zwanzig
,
J. Phys. Chem.
96
,
3926
(
1992
);
D.
Reguera
and
J. M.
Rubí
,
Phys. Rev. E
64
,
061106
(
2001
);
P.
Kalinay
and
J. K.
Percus
,
Phys. Rev. E
74
,
041203
(
2006
).
4.
N.
Laachi
,
M.
Kenward
,
E.
Yariv
, and
K. D.
Dorfman
,
EPL
80
,
50009
(
2007
).
5.
P. S.
Burada
,
G.
Schmid
,
D.
Reguera
,
J. M.
Rubí
, and
P.
Hänggi
,
Phys. Rev. E
75
,
051111
(
2007
).
6.
F.
Marchesoni
and
S.
Savel'ev
,
Phys. Rev. E
80
,
011120
(
2009
);
F.
Marchesoni
,
J. Chem. Phys.
132
,
166101
(
2010
).
[PubMed]
7.
A. M.
Berezhkovskii
,
L.
Dagdug
,
Yu. A.
Makhnovskii
, and
V. Yu.
Zitserman
,
J. Chem. Phys.
132
,
221104
(
2010
).
8.
L.
Dagdug
,
A. M.
Berezhkovskii
,
Yu. A.
Makhnovskii
, and
V. Yu.
Zitserman
,
J. Chem. Phys.
127
,
224712
(
2007
).
9.
M.
Borromeo
and
F.
Marchesoni
,
Chem. Phys.
375
,
536
(
2010
);
M.
Borromeo
,
F.
Marchesoni
, and
P. K.
Ghosh
,
J. Chem. Phys.
134
,
051101
(
2011
).
[PubMed]
10.
M. H.
Jacobs
,
Diffusion Processes
(
Springer
,
New York
,
1967
).
11.
D.
Holcman
,
N.
Hoze
, and
Z.
Schuss
,
Phys. Rev. E
84
,
021906
(
2011
);
D.
Holcman
and
Z.
Schuss
,
J. Math. Neurosci.
1
,
10
(
2011
).
[PubMed]
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