The theta condition for linear polymer chains in continuous space and three dimensions

1996 ◽  
Vol 105 (21) ◽  
pp. 9666-9673 ◽  
Author(s):  
C. W. Yong ◽  
Julian H. R. Clarke ◽  
Juan J. Freire ◽  
Marvin Bishop
1992 ◽  
Vol 272 ◽  
Author(s):  
David R. Nelson

Flexible sheet polymers or “membranes” can be regarded as two-dimensional generalizations of linear polymer chains, for which there is a vigorous theoretical and experimental literature. Flexible membranes should exhibit even more richness and complexity, for two basic reasons. The first is that important geometric concepts like intrinsic curvature, orientability and genus, which have no direct analogue in linear polymers, appear naturally in discussions of two-dimensional macromolecules. Our understanding of the interplay between these concepts and the statistical mechanics of surfaces is still in its infancy. [1] The second reason is that surfaces can exist in a variety of different phases. The possibility of a two-dimensional shear modulus in planar membranes shows that we must distinguish between solids and liquids when these objects are allowed to crumple into three dimensions. Hexatic membranes, with extended six-fold bond orientational order, provide yet another important possibility. All three phases have quite distinctive properties. [2, 3] There are no such sharp distinctions for linear polymer chains.


2021 ◽  
Author(s):  
Fabian R. Bloesser ◽  
Sarah L. Walden ◽  
Ishrath M. Irshadeen ◽  
Lewis C. Chambers ◽  
Christopher Barner-Kowollik

We demonstrate the light-induced, crosslinker mediated collapse of linear polymer chains into single-chain nanoparticles (SCNPs) capable of self-reporting their unfolding.


2003 ◽  
Vol 36 (7) ◽  
pp. 2484-2492 ◽  
Author(s):  
Slawomir Kadlubowski ◽  
Jaroslaw Grobelny ◽  
Wielislaw Olejniczak ◽  
Michal Cichomski ◽  
Piotr Ulanski

2007 ◽  
Vol 63 (11) ◽  
pp. m2780-m2780
Author(s):  
Maxwell A. Braverman ◽  
Robert L. LaDuca

In the title compound, [Ni(C8H4O4)(C10H9N3)3] n , an NiII atom with octahedral coordination is bound by one chelating terephthalate (tp) dianion, two monodentate di-4-pyridylamine (dpa) ligands, and two bridging dpa ligands. These link the Ni atoms into one-dimensional [Ni(tp)(dpa)3] n coordination polymer chains that propagate along the b-axis direction. Interweaving pairs of chains stack in three dimensions via N—H...O hydrogen bonding.


2015 ◽  
Vol 54 (23) ◽  
pp. 6770-6774 ◽  
Author(s):  
Daisuke Aoki ◽  
Satoshi Uchida ◽  
Toshikazu Takata

1985 ◽  
Vol 63 ◽  
Author(s):  
Brian W. Dodson ◽  
Paul A. Taylor

ABSTRACTThe authors have previously introduced a method, based on Monte Carlo techniques, for simulation of crystal growth processes in a continuous space. We have applied the method, initially used to simulate growth of two-dimensional Lennard-Jones systems, to treat growth of silicon in three dimensions. The interaction model for silicon is taken to be the recently introduced Stillinger-Weber (S-W) potential, which is a two- and threebody classical potential. Although the early stages of growth seem to be well modelled by the S-W potential, growth of even a single monolayer of epitaxial (111) silicon does not seem to be possible. Modifications to the S-W potential were considered, and found to be unacceptable physically. More accurate treatment of non-ideal atomic configuration energies is necessary to arrive at physically realistic growth simulations.


1997 ◽  
Vol 30 (16) ◽  
pp. 4704-4712 ◽  
Author(s):  
Xiaodu Liu ◽  
Barry J. Bauer ◽  
Robert M. Briber

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