Erratum: “A new (and better) lower bound for the excess internal energy of the one-component plasma” [J. Chem. Phys. 111, 9695 (1999)]

2000 ◽  
Vol 112 (15) ◽  
pp. 6940-6940 ◽  
Author(s):  
J. M. Caillol
Keyword(s):  
Lower Bound ◽  
Internal Energy ◽  
Chem Phys ◽  
Excess Internal Energy ◽  
Component Plasma ◽  
The One

scholarly journals On the lower bound of the internal energy of the one-component-plasma

2015 ◽  
Vol 22 (4) ◽  
pp. 044504 ◽  
Author(s):  
S. A. Khrapak ◽  
A. G. Khrapak
Keyword(s):  
Lower Bound ◽  
Internal Energy ◽  
Component Plasma ◽  
The One

Low-order anharmonic contributions to the internal energy of the one-component plasma

1986 ◽  
Vol 33 (8) ◽  
pp. 5180-5185 ◽  
Author(s):  
R. C. Albers ◽  
J. E. Gubernatis
Keyword(s):  
Internal Energy ◽  
Component Plasma ◽  
The One ◽  
Low Order

Success probabilities for second guessers

1980 ◽  
Vol 17 (04) ◽  
pp. 1133-1137 ◽  
Author(s):  
A. O. Pittenger
Keyword(s):  
Lower Bound ◽  
Dimensional Space ◽  
Success Probability ◽  
First Person ◽  
True Location ◽  
Rotationally Symmetric ◽  
The One ◽  
Sharp Lower Bound

Two people independently and with the same distribution guess the location of an unseen object in n-dimensional space, and the one whose guess is closer to the unseen object is declared the winner. The first person announces his guess, but the second modifies his unspoken idea by moving his guess in the direction of the first guess and as close to it as possible. It is shown that if the distribution of guesses is rotationally symmetric about the true location of the unseen object, ¾ is the sharp lower bound for the success probability of the second guesser. If the distribution is fixed and the dimension increases, then for a certain class of distributions, the success probability approaches 1.

Lower Bounds to the Eigenvalues in One-Dimensional Problems by a Shift in the Weight Function

1970 ◽  
Vol 37 (2) ◽  
pp. 267-270 ◽  
Author(s):  
D. Pnueli
Keyword(s):  
Lower Bound ◽  
Weight Function ◽  
Lower Bounds ◽  
Variational Formulation ◽  
Ritz Method ◽  
The Other ◽  
One Dimensional ◽  
Systematic Shift ◽  
The One ◽  
Detailed Computation

A method is presented to obtain both upper and lower bound to eigenvalues when a variational formulation of the problem exists. The method consists of a systematic shift in the weight function. A detailed procedure is offered for one-dimensional problems, which makes improvement of the bounds possible, and which involves the same order of detailed computation as the Rayleigh-Ritz method. The main contribution of this method is that it yields the “other bound;” i.e., the one which cannot be obtained by the Rayleigh-Ritz method.

scholarly journals Temperature anisotropy relaxation of the one-component plasma

2017 ◽  
Vol 57 (6-7) ◽  
pp. 238-251 ◽  
Author(s):  
Scott D. Baalrud ◽  
Jérôme Daligault
Keyword(s):  
Temperature Anisotropy ◽  
Component Plasma ◽  
The One
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