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Yu.V. Arkhipov A.B. Ashikbayeva A. Askaruly D.Yu. Dubovtsev S.A. Syzganbayeva I.M. Tkachenko 《等离子体物理论文集》2019,59(6)
The stopping power of dense electron plasmas is determined using a simplified version of the method of moments based on some interpolation formulas for the sum rules of the loss function. The energy losses of ions are evaluated with various projectile charges moving in a plasma at different values of the coupling and degeneracy parameters. The losses of slowly moving charged particles are closely examined. The results obtained are compared with those of some alternative approaches and the particle‐in‐cell (PIC) simulation data. 相似文献
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R. J. Cook 《Proceedings Mathematical Sciences》1989,99(2):147-153
Letf(x)=θ1
x
1
k
+...+θ
s
x
s
k
be an additive form with real coefficients, and ∥α∥ = min {|α-u|:uεℤ} denote the distance fromα to the nearest integer. We show that ifθ
1,…,θ
s
, are algebraic ands = 4k then there are integersx
1,…,x
s
, satisfying l ≤x
1,≤ N and ∥f(x)∥ ≤ N
E
, withE = − 1 + 2/e.
Whens = λk, 1 ≤λ ≤ 2k, the exponentE may be replaced byλE/4, and if we drop the condition thatθ
1,…,θ
s
, be algebraic then the result holds for almost all values of θεℝ
s
. Whenk ≥ 6 is small a better exponent is obtained using Heath-Brown’s version of Weyl’s estimate. 相似文献
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RELATIONS BETWEEN SOLUTIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY SEMIMARTINGALE WITH NON-LIPSCHITZ COEFFICIENTS 总被引:1,自引:0,他引:1
Weiyin Fei School of Math. Physics Anhui University of Technology Science Wuhu Anhui 《Annals of Differential Equations》2010,(1):16-23
In this paper, a class of stochastic differential equations (SDEs) driven by semi-martingale with non-Lipschitz coefficients is studied. We investigate the dependence of solutions to SDEs on the initial value. To obtain a continuous version, we impose the conditions on the local characteristic of semimartingale. In this case, it gives rise to a flow of homeomorphisms if the local characteristic is compactly supported. 相似文献
29.
FAN Hong-Yi HU Shan 《理论物理通讯》2006,46(7)
We present a general formalism for setting up unitary transform operators from classical transforms via the technique of integration within an ordered product of operators, their normally ordered form can be obtained too. 相似文献
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