A General Harmonic Solution in Dilaton Electrodynamics: An Exact Expression for the Fields and the Generalized Lorentz Force

This chapter discusses a direct approach to the calculation of the rate constant k(T) that bypasses the detailed state-to-state reaction cross-sections. The method is based on the calculation of the reactive flux across a dividing surface on the potential energy surface. Versions based on classical as well as quantum mechanics are described. The classical version and its relation to Wigner’s variational theorem and recrossings of the dividing surface is discussed. Neglecting recrossings, an approximate result based on the calculation of the classical one-way flux from reactants to products is considered. Recrossings can subsequently be included via a transmission coefficient. An alternative exact expression is formulated based on a canonical average of the flux time-correlation function. It concludes with the quantum mechanical definition of the flux operator and the derivation of a relation between the rate constant and a flux correlation function.

Download Full-text

Non-Newtonian Casson pulsatile fluid flow influenced by Lorentz force in a porous channel with multiple constrictions: A numerical study

Korea-Australia Rheology Journal ◽

10.1007/s13367-021-0007-z ◽

2021 ◽

Vol 33 (1) ◽

pp. 79-90 ◽

Cited By ~ 1

Author(s):

Amjad Ali ◽

Attia Fatima ◽

Zainab Bukhari ◽

Hamayun Farooq ◽

Zaheer Abbas

Keyword(s):

Fluid Flow ◽

Lorentz Force ◽

Numerical Study ◽

Porous Channel

Download Full-text

Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD

Optik ◽

10.1016/j.ijleo.2021.167302 ◽

2021 ◽

pp. 167302

Author(s):

Talat Körpınar ◽

Rıdvan Cem Demirkol ◽

Zeliha Körpınar

Keyword(s):

Lorentz Force ◽

Vortex Filament ◽

Magnetic Helicity

Download Full-text

scSorter: assigning cells to known cell types according to marker genes

Genome Biology ◽

10.1186/s13059-021-02281-7 ◽

2021 ◽

Vol 22 (1) ◽

Author(s):

Hongyu Guo ◽

Jun Li

Keyword(s):

Real Data ◽

Cell Types ◽

Exact Expression ◽

Marker Genes ◽

Specific Marker ◽

Sequencing Data ◽

Reference Dataset ◽

Over Expression ◽

Higher Power ◽

Cell Type Specific

AbstractOn single-cell RNA-sequencing data, we consider the problem of assigning cells to known cell types, assuming that the identities of cell-type-specific marker genes are given but their exact expression levels are unavailable, that is, without using a reference dataset. Based on an observation that the expected over-expression of marker genes is often absent in a nonnegligible proportion of cells, we develop a method called scSorter. scSorter allows marker genes to express at a low level and borrows information from the expression of non-marker genes. On both simulated and real data, scSorter shows much higher power compared to existing methods.

Download Full-text