logarithmic potential

logarithmic potential

[′läg·ə‚rith·mik pə′ten·chəl]
(physics)
A potential function that is proportional to the logarithm of some coordinate; for example, a straight, electrically charged cylinder of circular cross section and effectively infinite length gives rise to an electrostatic potential that is the sum of a constant and a term proportional to the logarithm of the distance from the cylinder's axis.
References in periodicals archive ?
This situation is also valid for the purely logarithmic potential [30]
The QCD corrected factors are more close to experimental values for power and logarithmic potential and this can be referred as the importance of the QCD correction factor in calculating the decay constants and other short range phenomena using potential models.
where [omega] can represent [alpha], [beta], [gamma], [lambda], [theta], and logarithmic potential volatility sequences {[w.sub.t]}.
L(y | [bar.[omega]]) is the known parameters and logarithmic potential fluctuations of the likelihood function of average cases.
The assumption that elementary particles with nonzero rest mass consist of relativistic constituents moving with constant energy pc results in a logarithmic potential and exponential expression for particle masses.
The weighted logarithmic potential of [micro] and [[micro].sub.c] is defined by
Logarithmic potential, Newtonian potential, balayage, inverse balayage, linear optimization, duality, Chebychev constant, extremal problem.
An important tool in our investigations is a constrained energy problem in logarithmic potential theory, where an additional external field is used being related to our particular right-hand sides.
Beckermann and Kuijlaars show that superlinear convergence can be observed for the conjugate gradient method with special right hand sides, applying results from discrete orthogonal polynomials and logarithmic potential theory.
Here, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] denotes the logarithmic potential of [[mu].sub.w], i.e.,
All the uppeer bounds it in Theorems 5.7-5.9 depent on the logarithmic potentials U(x; [v.sub.1]), U(x; [v.sub.2]), U (x; [v.sub.3]), and in particular on the linear colmobinnation off them that appears in the variational conditions (4.1)-(4.6).
MCLAUGHLIN, New results on the equilibrium measure for logarithmic potentials in the presence of an external field, J.