In this work, we prove the existence and uniqueness of a quasi-stationary distribution for hypoelliptic Hamiltonian dynamics system N particles in $${\mathbb {R}}^d$$ interacting with Lennard-Jones type potentials or repulsive Coulomb potentials.

An analytical equation of state was applied to calculate the thermodynamic properties for argon.The equation of state is that of Song and Mason. It is based on a statistical-mechanical perturbationtheory of the hard convex bodies and can be written as fifth-order polynomial in the density. Thereexist three temperature-dependent parameters: the second virial coefficient, an effective molecularvo...

BACKGROUND Measurement of 6-thioguanine nucleotide (6-TGN) concentrations in erythrocytes is widely accepted for use in optimization of thiopurine therapy. Various chromatographic methods have been developed for this purpose. In preliminary experiments we observed a considerable difference between 6-TGN concentrations determined with two widely used methods published by Lennard (Lennard L. J Ch...

This paper investigates a non-commutative first-order sequent calculus NCLK. For that, this paper extends a non-commutative positive fragment to a full first-order sequent calculus LK− having antecedent-grouping and no right exchange rule. This paper shows (1) NCLK is equivalent to LJ, (2) NCLK with the exchange rule is equivalent to LK, (3) LK− is equivalent to LJ, and (4) translations between...

The Lennard-Jones (LJ) Potential Energy Problem is to construct the most stable form of N atoms of a molecule with the minimal LJ potential energy. This problem has a simple mathematical form

As r e s e a r c h i n n a t u r a l l a n g u a g e p r o c e s s i n g spawns c o m m e r c i a l p r o d u c t s , a s i t now b e g i n s Co, o u r r e s e a r c h communi ty a c q u i r e s new e t h i c a l and p r a c t i c a l r e s p o n s i b i l i t i e s . All software packages have limitations, and research progress consists in d e v i s i n g t e c h n i q u e s t h a t l e a d t ...