scholarly journals Linker-mediated self-assembly of mobile DNA-coated colloids

2020 ◽  
Vol 6 (21) ◽  
pp. eaaz6921 ◽  
Author(s):  
Xiuyang Xia ◽  
Hao Hu ◽  
Massimo Pica Ciamarra ◽  
Ran Ni
Keyword(s):  
Self Assembly ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Mobile Dna ◽  
Complementary Sequence ◽  
Single Stranded Dna ◽  
Construction Methods ◽  
Free Dna ◽  
Innovative System

Developing construction methods of materials tailored for given applications with absolute control over building block placement poses an immense challenge. DNA-coated colloids offer the possibility of realising programmable self-assembly, which, in principle, can assemble almost any structure in equilibrium, but remains challenging experimentally. Here, we propose an innovative system of linker-mediated mobile DNA-coated colloids (mDNACCs), in which mDNACCs are bridged by the free DNA linkers in solution, whose two single-stranded DNA tails can bind with specific single-stranded DNA receptors of complementary sequence coated on colloids. We formulate a mean-field theory efficiently calculating the effective interaction between mDNACCs, where the entropy of DNA linkers plays a nontrivial role. Particularly, when the binding between free DNA linkers in solution and the corresponding receptors on mDNACCs is strong, the linker-mediated colloidal interaction is determined by the linker entropy depending on the linker concentration.

TEST OF NL-RA1 RELATIVISTIC EFFECTIVE INTERACTION FOR THE STRUCTURE OF DEFORMED AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250055 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Decay Chain ◽  
Alpha Decay ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Relativistic Mean Field ◽  
Relative Errors

The NL-RA1 effective interaction of the relativistic mean field theory is employed to study the structure of deformed and superheavy nuclei, using an axially deformed harmonic oscillator basis. It is found that a fair agreement with the experimental data is obtained for the binding energies (BE), deformation parameters and charge radii. Comparison with NL-Z2, NLSH and NL3 interactions show that NL-Z2 gives good binding but larger radii, while NL-SH gives good radii but larger binding. The NL-RA1 interaction is also tested for the new deformed superheavy element with Z≥98. Excellent agreement with the experimental binding is obtained, where the relative error in BEs of Cf, Fm, No, Rf, Sg and Ea (Z = 110) isotopes are found to be of the order ~0.1%. The NL3 predicted larger binding and larger relative errors ~0.2–0.5%. Furthermore, the experimental Q-values of the alpha-decay of the superheavy elements 270110, 288114 and 292116 are satisfactory reproduced by NL-RA1 interaction, where the agreement is much better than that predicted by the phenomenological mass FRDM model. Furthermore, the alpha-decay chain of element 294118 are also better reproduced by NL-RA1 interaction.

scholarly journals PAIRING PROPERTIES OF SYMMETRIC NUCLEAR MATTER IN RELATIVISTIC MEAN FIELD THEORY

2008 ◽  
Vol 17 (08) ◽  
pp. 1441-1452 ◽  
Author(s):  
J. LI ◽  
B. Y. SUN ◽  
J. MENG
Keyword(s):  
Field Theory ◽  
Nuclear Matter ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Symmetric Nuclear Matter ◽  
Effective Interactions ◽  
Relativistic Mean Field ◽  
Effective Factor ◽  
Pairing Correlations

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction, PK1. Considering the well-known problem that the pairing gap at the Fermi surface calculated with RMF effective interactions is three times larger than that with the Gogny force, an effective factor in the particle–particle channel is introduced. For the RMF calculation with PK1, an effective factor of 0.76 gives a maximum pairing gap of 3.2 MeV at a Fermi momentum of 0.9 fm-1, which is consistent with the result with the Gogny force.

scholarly journals Controlled Self-Assembly of Soft-Matter Quasicrystals

2014 ◽  
Vol 70 (a1) ◽  
pp. C889-C889 ◽  
Author(s):  
Kobi Barkan ◽  
Michael Engel ◽  
Haim Diamant ◽  
Ron Lifshitz
Keyword(s):  
Self Assembly ◽  
Soft Matter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Building Blocks ◽  
Two Dimensions ◽  
Pair Potentials ◽  
The Stability ◽  
Dynamics Simulations ◽  
Three Body

A large number of soft-matter systems, whose building blocks range in size from several nanometers to almost a micron, have been shown in recent years to form ordered phases with dodecagonal (12-fold) symmetry (for recent reviews see [1]). Contrary to metallurgic quasicrystals, whose source of stability remains a question of great debate to this day, we show that the stability of certain soft-matter quasicrystals–interacting via pair potentials with repulsive cores, which are either bounded or only slowly diverging–can directly be explained. Their stability is attributed to the existence of two natural length scales in their isotropic pair potentials, along with an effective three-body interaction arising from entropy. We establish the validity of this mechanism at the level of a mean-field theory [2], and then use molecular dynamics simulations in two dimensions to confirm it beyond mean field, and to show that it leads to the formation of cluster crystals [3]. We demonstrate that our understanding of the stability mechanism allows us to generate a variety of desired structures, including decagonal and dodecagonal quasicrystals [3], suggesting a practical approach for their controlled self-assembly in laboratory realizations using synthesized soft-matter particles.

scholarly journals Theoretical Analysis for Bending of Single-Stranded DNA Adsorption on Microcantilever Sensors

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 2812 ◽  
Author(s):  
Zou-Qing Tan ◽  
Yang-Chun Chen ◽  
Neng-Hui Zhang
Keyword(s):  
Mechanical Energy ◽  
Minimum Principle ◽  
Mean Field Theory ◽  
Mean Field ◽  
Radius Of Curvature ◽  
Label Free ◽  
Dna Adsorption ◽  
Single Stranded Dna ◽  
Microcantilever Sensors ◽  
Volume Energy

An energy-based model is presented to establish the bending deformation of microcantilever beams induced by single-stranded DNA (ssDNA) adsorption. The total free energy of the DNA-microcantilever sensor was obtained by considering the excluded-volume energy and the polymer stretching energy of DNA chains from mean-field theory, and the mechanical energy of three non-biological layers. The radius of curvature and deflection of the cantilever were determined through the minimum principle of energy. The efficiency of the present model was confirmed through comparison with experimental data. The effects of length, grafting density, salt concentration, thickness, and elastic modulus of substrate on tip deflections are also discussed in this paper. These factors can significantly affect the deflections of the biosensor. This work demonstrates that it is useful to develop a theoretical model for the label-free nanomechanical detection technique.

STUDIES OF 44Ti AND 48Cr NUCLEI WITHIN VARIATIONAL MEAN FIELD THEORY

2010 ◽  
Vol 19 (11) ◽  
pp. 2265-2284
Author(s):  
PRIANKA ROY ◽  
SHASHI K. DHIMAN
Keyword(s):  
Angular Momentum ◽  
Transition Probabilities ◽  
Shape Change ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Effective Interactions ◽  
Angular Momentum Projection ◽  
Hartree Fock ◽  
Yrast Level

We have studied the nuclear structure properties of high angular momentum states in N = Z, 44 Ti , and 48 Cr nuclei by using Hartree–Fock–Bogoliubov (HFB) method with variation after angular momentum projection (VAP-HFB) technique. Effect of Kuo–Brown "KB" and its modified effective interactions has been studied using four sets of single-particle energies (SPEs) on rotational bands of these nuclei. It is seen that the HFB theory with projected wave functions by employing the VAP method describes well the overall trends of the experimental yrast level spectrum and the transition probabilities in these nuclei. The backbending of the 48 Cr nucleus has been well reproduced by the present VAP-HFB calculations with the original "KB" effective interaction at J = 12ℏ. The modified effective interaction also gives backbending for 48 Cr but at J = 10ℏ. The shape change associated with backbending effect in 48 Cr is due to the large decrease in B(E2↓) values beyond J = 12ℏ state.

Self-assembly of ABC dendrimer by real-space self-consistent mean field theory in a two-dimensional space

Soft Matter ◽  
2011 ◽  
Vol 7 (21) ◽  
pp. 10076 ◽  
Author(s):  
Bo Lin ◽  
Hongdong Zhang ◽  
Ping Tang ◽  
Feng Qiu ◽  
Yuliang Yang
Keyword(s):  
Field Theory ◽  
Self Assembly ◽  
Dimensional Space ◽  
Mean Field Theory ◽  
Mean Field ◽  
Real Space ◽  
Two Dimensional ◽  
Self Consistent

scholarly journals Search of double shell closure in the superheavy nuclei using a simple effective interaction

2014 ◽  
Vol 23 (03) ◽  
pp. 1450017 ◽  
Author(s):  
S. K. Biswal ◽  
M. Bhuyan ◽  
S. K. Singh ◽  
S. K. Patra
Keyword(s):  
Field Theory ◽  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Magic Nucleus ◽  
Superheavy Nuclei ◽  
Shell Closure ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field

This paper refers to another attempt to search for spherical double shell closure nuclei beyond Z = 82, N = 126. All calculations and results are based on a newly developed approach entitled as simple effective interaction (SEI). Our results predict that the combination of magic nucleus occurs at N = 182 (Z = 114, 120, 126). All possible evidences for the occurrence of magic nuclei are discussed systematically. And, the obtained results for all observables are compared with the relativistic mean field theory for NL3 parameter.

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field
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