Randomly Charged Polymers - Polyampholytes
Yacov Kantor
Equilbrium configuration of polyampholyte.
Different colors represent opposite charges.
Spatial configurations of
polyampholytes are
very sensitive to the overall excess
charge Q.
At low temperature polyampholytes with small
Q are compact, while the polyampholytes with
moderate Q
are stretched.
See PRL 96,61(92); PRE49,1383(94);
Europhys.Lett. 27,643(94)
PRE51,1299(95)
(with M.Kardar, H.Li)
Tethered Surfaces with Randomness
Yacov Kantor
Ground state of a polymerized memebrane
consisting of monomers of two randomly selected
sizes.
Ground state of a polymerized membrane
with quenched randomness is highly folded.
As the temperature increases the configuration
becomes more flat despite the thermal
fluctuations. Further increase of temperature
leads again to a crumpled state.
See Europhys.Lett. 20,169(94)
(with K. Kremer).
Extremal Properties of Random Walks
Yacov Kantor
Probability density that the largest
segment of an N charge sequence +-1
which has reduced charge q=Q/N**(1/2)
has reduced length l=L/N.
For q=0 (neutral segments) probability
density p has square-root singularity
near l=1, essential singularity at l=0
and discontinuous derivative at l=1/2.
See J.Physics A27,L907(95); PRE53,846(95)
(with D. Ertas and S. Wolfling)
Elasticity of Entropy-Dominated Systems
Yacov Kantor
Equilibrium configuration of random
phantom network.
Elastic properties of gels have been studied.
See Phys. Rev. Lett. 85,2533(00);
Europhys. Lett. 52,413(00)
(with O. Farago)
Properties of Knots in Polymers
Yacov Kantor
Knot in a polymer on a cubic lattice.
Size distribution of two- and three-dimensional
knots has been investigated. It was shown that
both entropy and electrostatic interactions favor
"small" knots.
See Phys. Rev. Lett. 88,18810(02);
Europhys. Lett. 60,53(02)
Phys. Rev. E66,31802(02)
(with R. Metzler, A. Hanke, P. G. Dommersnes,
O. Farago, and M. Kardar)
Translocation of a Polymer through a Pore in Membrane
Yacov Kantor
Polymer translocating through a pore.
Translocation time of a long polymer was
investigated a s function of polymer length
and the forces applied to it.
See Phys. Rev. E65,11802(02);
Phys. Rev. E69,21806(03)
(with J. Chuang and M. Kardar)
Polymers Attached to Probes
Yacov Kantor
Distribution of the end-point of a polymer attached to a sphere
In single-molecule mechanical experiments
the probe to which the polymer is attached
influences its behavior.
See Europhys. Lett. 88,48001 (09)
(with R. Bubis and M. Kardar)
Localization of Random Walks near Competing Manifolds
Yacov Kantor
Corner, edge and face have dimensionalities 0, 1 and 2
Adsorbtion of random walk or polymer to
surfaces of competing dimensionalities creates
a complex phase diagram.
See Phys. Rev. E98,022108 (19)
(with R. Halifa Levi and M. Kardar)
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