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At first order in the noise amplitude, the effect of noise on a periodic orbit is given in terms of the period and the derivative of the period with respect to the pseudoenergy of the OnsagerMachlupFreidlinWentzell scheme.


Inthis metric, which permits Minkowskian solutions, wefind that both in the Einstein and Landau prescriptionsthe pseudoenergymomentum tensor vanishes, withoutassuming that the null vector is also geodesic, as was done in earlier work.


The resulting tensors have a large number of arbitrary parameters, frequently have spacelike currents, and frequently do not reduce to familiar pseudoenergy tensors in the weak field limit.


As in the case of restrained molecular dynamics (rMD) refinement of structures, the experimental distance restraints and bounds are incorporated as a pseudoenergy term (or penalty function) into the mathematical expression for the molecular energy.


The pseudoenergy term has been formulated in terms of a calculated J value (a measured quantity) rather than the relevant dihedral angle (a derived quantity).

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 We adopted Hu Ning's expression of pseudoenergymomentum tensor density for the gravitational field. From it, we obtained a regular result of the energy of a doublestar system. But the distribution of this energy in space cannot be determined uniquely and its distribution laws are essentially identical to those of Schwarzschild external field of an isolated static star. If we recognize that the gravitational field produced by the source matter no longer possesses gravitational mass, then the value of... We adopted Hu Ning's expression of pseudoenergymomentum tensor density for the gravitational field. From it, we obtained a regular result of the energy of a doublestar system. But the distribution of this energy in space cannot be determined uniquely and its distribution laws are essentially identical to those of Schwarzschild external field of an isolated static star. If we recognize that the gravitational field produced by the source matter no longer possesses gravitational mass, then the value of n in that expression can be determined, and the distribution of field energy can also be determined consequently.  本文援引胡宁所推广的引力场总能量动量赝张量密度式,计算了双星系统的能量,其结果是正常的。然而,这能量的分布却是不确定的;分布的规律基本上与孤立静止星球的席瓦兹外域场一致。如果认为场源物质所产生的引力场不再具有引力质量,则可决定该密度式中的n值,即引力场能量的分布也被确定。  In this paper, the metric coefficients of gravitational retarded field of nonplane wave of the multipolar source at infinity are givenand dience the power of gravitational radiation of lowerrotating body is obtainedAs an example, the estimation for the quadrupole radiation was proceeded, when the spatial distribution was discussed byWe found that the radiation possesses very strong directivity. In the calculation, on the pseudoenergymomentum tensorit has been given in reference [4]. When n = 1/2 becomes... In this paper, the metric coefficients of gravitational retarded field of nonplane wave of the multipolar source at infinity are givenand dience the power of gravitational radiation of lowerrotating body is obtainedAs an example, the estimation for the quadrupole radiation was proceeded, when the spatial distribution was discussed byWe found that the radiation possesses very strong directivity. In the calculation, on the pseudoenergymomentum tensorit has been given in reference [4]. When n = 1/2 becomes the expression for pseudoenergymomentum tensor density originally given by Einstein. When n = 1 reduces to the expression given by Landau and Lifshitz. This leads immediately to the law of conservation of angular momentum of die gravitational field. By die analysis shown by Hu Ning, when n < 1/8 be the energy of the Schwarzschild field of free gravitational waves would be always kept positive, this is a more important concept dian that of angular momentum and the tensor density. In this paper, when n < 3/2 be chosen for the multipolar retarded gravitational field, the energy density is always positive and progressively increase.By applying the formula of the quadrupole gravitational radiation to the PSR's, we found the calculated results as compared widi the previous theory, the order of magnitude was very close with satisfaction.  本文给出一组远离多极引力源的非平面波推迟度规系数,并由此得到慢转天体引力多极辐射功率表示。当具体对四极辐射进行估算时,发现旋转物体引力辐射具有很强的方向性。将其用于脉冲星计算结果与过去结论在量级上十分满意地接近。  This paper discusses the problem of a nonlinear inertial gravity Snner wave influenced by the heat source. First, the condition that satisfies the wave solution and the expression of the analytic solution are inferred. Then by use of the relation between roots and cofficients of the pseudoenergy influence function, the nondimensional value M is introduced, by use of M the existence condition ofperiodic solution can be expressed as M > 2/3, when M →2/3, the solitary wave thatis different from KdV equation... This paper discusses the problem of a nonlinear inertial gravity Snner wave influenced by the heat source. First, the condition that satisfies the wave solution and the expression of the analytic solution are inferred. Then by use of the relation between roots and cofficients of the pseudoenergy influence function, the nondimensional value M is introduced, by use of M the existence condition ofperiodic solution can be expressed as M > 2/3, when M →2/3, the solitary wave thatis different from KdV equation can be obtained. Finally, by use of M, the nonlinear wavespeed formula is established, i. e. wavespeed c has relations with amplitude characteristic divergence and M. When wavespeed formula degenerates into thelinearlized wavespeed formula, we find that when M → 1, the system appears aslinear effect; when 2/3 < M < 1, then the system appears as nonlinear effect; whenM →2/3, the system appears as solitary wave effect. The nondimensional value Mserves as a criterion of nonlinear and linear effect.  本文考虑有外界热源情况下的非线性重力惯性内波,首先我们讨论了波解存在的条件及得到了解析解的表达式。然后我们利用拟能影响函数中的根与系数之间关系,导出一个无量纲的量M,利用M把周期解存在条件转化为M>2/3,当M→2/3时,就得到了区别于KdV方程的孤立波解。最后利用M我们建立了非线性波的波速公式,波速C与振幅,特征散度,M之间的关系,当波速公式向线性化波速公式退化时,我们发现当M≥l时系统呈线性效应;当2/3   << 更多相关文摘 



