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 ?
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.
In this paper the simple assumption of relativistic constituents moving with constant energy pc in a logarithmic potential is discussed.
The weighted logarithmic potential of [micro] and [[micro].
T-R MCLAUGHLIN, New results on the equilibrium measure for logarithmic potentials in the presence of an external field, J.
Logarithmic potential, Newtonian potential, balayage, inverse balayage, linear optimization, duality, Chebychev constant, extremal problem.
ANDRIEVSKII, on the inverse logarithmic potential problem, East J.
We start by recalling some facts from the logarithmic potential theory (for basic definitions, see e.
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.
Superlinear convergence, Conjugate gradients, Krylov subspace methods, Logarithmic potential theory.
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.
asymptotic distribution, Freud weight, Erdos weight, exponential weight, interpolation, Lebesgue constant, logarithmic potential, Pollaczek weight, sup norm, weighted approximation.
Here, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] denotes the logarithmic potential of [[mu].