Strong ion difference theory: More lessons from physical chemistry

Strong-Coupling Theory for Counter-Ion Distributions

– The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory which becomes exact in the opposite limit of strong coupling. Formally, it corresponds to a standard virial expansion. Long-range divergences, which render ...

Bertrand’s Paradox Revisited: More Lessons about that Ambiguous Word, Random

The Bertrand paradox question is: “Consider a unit-radius circle for which the length of a side of an inscribed equilateral triangle equals 3 . Determine the probability that the length of a ‘random’ chord of a unit-radius circle has length greater than 3 .” Bertrand derived three different ‘correct’ answers, the correctness depending on interpretation of the word, random. Here we employ geomet...

New 2-designs from strong difference families

Strong difference families are an interesting class of discrete structures which can be used to derive relative difference families. Relative difference families are closely related to 2-designs, and have applications in constructions for many significant codes, such as optical orthogonal codes and optical orthogonal signature pattern codes. In this paper, with a careful use of cyclotomic condi...

Strong ion difference excess and corrected strong ion difference model incorporating the variations in apparent dissociation constant for human blood plasma electro-neutrality equilibria.

We introduce computed value of the corrected Strong Ion Difference (SID) by including the large variability of the apparent dissociation constant pK' in non-logarithmic form on SID in Henderson-Hasselbach bicarbonate ion aqueous equilibria thereby resulting in a significant correction of up to 27% in SID. We further introduce a new concept of Strong Ion Difference Excess (SIDE) as the change in...

Droplet Phase Ion-Ion Chemistry