Attention:The NSF Public Access Repository (PAR) system and access will be unavailable from 10:00 PM ET on Thursday, July 16 until 12:00 AM ET on Friday 17 due to maintenance. We apologize for the inconvenience.


Title: A simple yet general model of binary diffusion coefficients emerged from a comprehensive assessment of 18 binary systems
Award ID(s):
1904245
PAR ID:
10298712
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Acta Materialia
Volume:
215
Issue:
C
ISSN:
1359-6454
Page Range / eLocation ID:
117077
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. Let $${\bf A}$$ be an $$n\times m$$ matrix over $$\mathbf{GF}_2$$ where each column consists of $$k$$ ones, and let $$M$$ be an arbitrary fixed binary matroid. The matroid growth rate theorem implies that there is a constant $$C_M$$ such that $$m\geq C_M n^2$$ implies that the binary matroid induced by {\bf A} contains $$M$$ as a minor. We prove that if the columns of $${\bf A}={\bf A}_{n,m,k}$$ are chosen \emph{randomly}, then there are constants $$k_M, L_M$$ such that $$k\geq k_M$$ and $$m\geq L_M n$$ implies that $${\bf A}$$ contains $$M$$ as a minor w.h.p. 
    more » « less
  2. Shear of a Coulombic crystal, due to repetitive collisions with its container upon shaking, simultaneously orders and melts the crystal. 
    more » « less