scholarly journals Microphase Separation in Thin Block Copolymer Films:  A Weak Segregation Mean-Field Approach

2006 ◽  
Vol 39 (18) ◽  
pp. 6210-6220 ◽  
Author(s):  
Hindrik Jan Angerman ◽  
Albert Johner ◽  
Alexander N. Semenov
Keyword(s):  
Block Copolymer ◽  
Microphase Separation ◽  
Mean Field ◽  
Field Approach ◽  
Copolymer Films

Tem Studies of Single and Double Microdomain Layers of Block Copolymer

1998 ◽  
Vol 4 (S2) ◽  
pp. 818-819
Author(s):  
N. Yao ◽  
M. Park ◽  
C. Harrison ◽  
D. H. Adamson ◽  
P. M. Chaikin ◽  
...  
Keyword(s):  
Thin Films ◽  
Glass Transition ◽  
Block Copolymer ◽  
Diblock Copolymers ◽  
Microphase Separation ◽  
Covalent Bond ◽  
Inorganic Materials ◽  
Polymer Chains ◽  
Copolymer Films ◽  
Cylinders And Spheres

Diblock copolymers consist of two chemically different polymer chains (or blocks) joined by a covalent bond. Because of the incompatibility between the two blocks and connectivity constraints, diblock copolymers spontaneously self-assemble into microphase-separated nanometer size domains that exhibit ordered morphologies at equilibrium. Commonly observed microdomain morphologies in bulk samples are periodic arrangements of lamellae, cylinders, and spheres. Recent studies show that the thin films of such block copolymers are of great potential for many nanoapplications including nanolithography and template synthesis for inorganic materials. Here, we report TEM studies of osmylated and ozonated thin diblock copolymer films.An asymmetric block copolymer was synthesized with a composition of 36 kg/mol for the poly(styrene)(PS) block and 11 kg/mole for the poly (butadiene)(PB) block such that the microphase separation produces PB cylinders in a matrix of PS. The films were spin-coated from solution onto thin silicon nitride windows and annealed above the glass transition temperature in vacuum.

scholarly journals Inhomogeneous mean-field approach to collective excitations near the superfluid-Mott glass transition

2021 ◽  
pp. 168526
Author(s):  
Martin Puschmann ◽  
João C. Getelina ◽  
José A. Hoyos ◽  
Thomas Vojta
Keyword(s):  
Glass Transition ◽  
Mean Field ◽  
Collective Excitations ◽  
Field Approach

scholarly journals Ultra-Fast Vertical Ordering of Lamellar Block Copolymer Films on Unmodified Substrates

2021 ◽  
Vol 54 (3) ◽  
pp. 1564-1573
Author(s):  
Maninderjeet Singh ◽  
Wenjie Wu ◽  
Monali N. Basutkar ◽  
Joseph Strzalka ◽  
Abdullah M. Al-Enizi ◽  
...  
Keyword(s):  
Block Copolymer ◽  
Copolymer Films

scholarly journals Effect of Bjerrum pairs on electrostatic properties in an electrolyte solution near charged surfaces: A mean-field approach

2021 ◽  
Author(s):  
Jun-Sik Sin
Keyword(s):  
Electrolyte Solution ◽  
Size Effects ◽  
Mean Field ◽  
Finite Size ◽  
Ion Association ◽  
Finite Size Effects ◽  
Field Approach ◽  
Electrostatic Properties ◽  
Charged Surfaces ◽  
Orientational Ordering

In this paper, we investigate the consequences of ion association, coupled with the considerations of finite size effects and orientational ordering of Bjerrum pairs as well as ions and water...

scholarly journals Electron liquid state in the symmetric Anderson lattice

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Igor N. Karnaukhov
Keyword(s):  
Low Temperatures ◽  
Arbitrary Dimension ◽  
Mean Field ◽  
Coulomb Repulsion ◽  
Anomalous Behavior ◽  
Effective Field ◽  
Kondo Lattice ◽  
Field Approach ◽  
Cubic Lattices ◽  
Half Filling

AbstractUsing mean field approach, we provide analytical and numerical solution of the symmetric Anderson lattice for arbitrary dimension at half filling. The symmetric Anderson lattice is equivalent to the Kondo lattice, which makes it possible to study the behavior of an electron liquid in the Kondo lattice. We have shown that, due to hybridization (through an effective field due to localized electrons) of electrons with different spins and momenta $$\mathbf{k} $$ k and $$\mathbf{k} +\overrightarrow{\pi }$$ k + π → , the gap in the electron spectrum opens at half filling. Such hybridization breaks the conservation of the total magnetic momentum of electrons, the spontaneous symmetry is broken. The state of electron liquid is characterized by a large Fermi surface. A gap in the spectrum is calculated depending on the magnitude of the on-site Coulomb repulsion and value of s–d hybridization for the chain, as well as for square and cubic lattices. Anomalous behavior of the heat capacity at low temperatures in the gapped state, which is realized in the symmetric Anderson lattice, was also found.

scholarly journals Quantal description of nucleon exchange in a stochastic mean-field approach

2015 ◽  
Vol 91 (5) ◽  
Author(s):  
S. Ayik ◽  
O. Yilmaz ◽  
B. Yilmaz ◽  
A. S. Umar ◽  
A. Gokalp ◽  
...  
Keyword(s):  
Mean Field ◽  
Field Approach
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