Molecular Aggregation Equilibria. Comparison of Finite Lattice and Weighted Random Mixing Predictions

2014 ◽  
Vol 118 (28) ◽  
pp. 7878-7885 ◽  
Author(s):  
Dor Ben-Amotz ◽  
Blake M. Rankin ◽  
B. Widom
Keyword(s):  
Finite Lattice ◽  
Molecular Aggregation ◽  
Aggregation Equilibria ◽  
Random Mixing

Finite lattice model for molecular aggregation equilibria. Boolean statistics, analytical approximations, and the macroscopic limit

2015 ◽  
Vol 17 (34) ◽  
pp. 21960-21967 ◽  
Author(s):  
Blake M. Rankin ◽  
Dor Ben-Amotz ◽  
B. Widom
Keyword(s):  
Lattice Model ◽  
Finite Lattice ◽  
Lattice Statistics ◽  
Molecular Aggregation ◽  
Analytical Approximations ◽  
Aggregation Equilibria ◽  
Aggregation Processes

Exact finite lattice statistics and analytical approximations are used to model molecular aggregation processes.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

scholarly journals Eigenvalue spectrum and scaling dimension of lattice $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Georg Bergner ◽  
David Schaich
Keyword(s):  
Anomalous Dimension ◽  
Finite Lattice ◽  
Continuum Theory ◽  
Lattice Volume ◽  
Yang Mills ◽  
Lattice Regularization ◽  
Perturbative Renormalization ◽  
Zero Values ◽  
Definition Of ◽  
Group Flow

Abstract We investigate the lattice regularization of $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. This provides important insight into the non-perturbative renormalization group flow of the lattice theory, through the definition of a scale-dependent effective mass anomalous dimension. While this anomalous dimension is expected to vanish in the conformal continuum theory, the finite lattice volume and lattice spacing generically lead to non-zero values, which we use to study the approach to the continuum limit. Our numerical results, comparing multiple lattice volumes, ’t Hooft couplings, and numbers of colors, confirm convergence towards the expected continuum result, while quantifying the increasing significance of lattice artifacts at larger couplings.

scholarly journals Molecular aggregation states of crystalline fluorinated polymer thin films

2008 ◽  
Vol 64 (a1) ◽  
pp. C560-C560
Author(s):  
K. Honda ◽  
M. Morita ◽  
S. Sasaki ◽  
O. Sakata ◽  
A. Takahara
Keyword(s):  
Thin Films ◽  
Polymer Thin Films ◽  
Molecular Aggregation ◽  
Fluorinated Polymer

Finite lattice systems with true critical behavior

1992 ◽  
Vol 46 (4) ◽  
pp. 1643-1657 ◽  
Author(s):  
J. L. deLyra ◽  
S. K. Foong ◽  
T. E. Gallivan
Keyword(s):  
Critical Behavior ◽  
Finite Lattice ◽  
Lattice Systems
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