scholarly journals Exact analytical expression for magnetoresistance using quantum groups

2004 ◽  
Vol 320 (4) ◽  
pp. 327-332 ◽  
Author(s):  
S.A. Alavi ◽  
S. Rouhani
Keyword(s):  
Quantum Groups ◽  
Analytical Expression ◽  
Exact Analytical Expression

scholarly journals Электрическая площадь поля в вакууме с движущимися зарядами

2020 ◽  
Vol 46 (4) ◽  
pp. 15
Author(s):  
Н.Н. Розанов
Keyword(s):  
Spatial Distribution ◽  
Electric Field ◽  
Electromagnetic Radiation ◽  
Charged Particles ◽  
Constant Acceleration ◽  
Analytical Expression ◽  
Exact Analytical Expression ◽  
Approximate Form ◽  
Field Area

An exact analytical expression is presented for the electric field area generated by the motion of charged particles with constant acceleration. An approximate form of the spatial distribution of the electric area in the vicinity of the point of instantaneous stopping of charges is given. The possibility of generating quasi-unipolar pulses of electromagnetic radiation with a significant electric area is shown.

scholarly journals Evolution arrests invasions of cooperative populations

2015 ◽  
Author(s):  
Kirill S Korolev
Keyword(s):  
Tumor Growth ◽  
Competitive Advantage ◽  
Native Species ◽  
Analytical Expression ◽  
Exact Analytical Expression ◽  
Fitness Advantage ◽  
New Strategies

Population expansions trigger many biomedical and ecological transitions, from tumor growth to invasions of non-native species. Although population spreading often selects for more invasive phenotypes, we show that this outcome is far from inevitable. In cooperative populations, mutations reducing dispersal have a competitive advantage. Such mutations then steadily accumulate at the expansion front bringing invasion to a halt. Our findings are a rare example of evolution driving the population into an unfavorable state and could lead to new strategies to combat unwelcome invaders. In addition, we obtain an exact analytical expression for the fitness advantage of mutants with different dispersal rates.

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