共查询到10条相似文献，搜索用时 171 毫秒
1.
Using the total radius of alkaline fluorides and sodium halides and their experimental total enthalpy values, absolute hydration
enthalpies of sodium and fluoride ions ( and ) were previously calculated. Also, by the help of data of sodium and fluoride ions for all alkaline metal ions and halides
absolute hydration enthalpies were determined.
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| Sevda AyataEmail: |
2.
In dimension n > 3 we show the existence of a compactly supported potential in the differentiability class , for which the solutions to the linear Schrödinger equation in,
fail to satisfy an evolution estimate of the form
This contrasts with known results in dimensions n ≤ 3, where a pointwise decay condition on V is generally sufficient to imply dispersive bounds.The obstructions in our example are generated by an expression with scaling law , which becomes dominant in the time interval . 相似文献
3.
For Lax-pair isospectral deformations whose associated spectrum, for given initial data, consists of the disjoint union of a finitely denumerable discrete spectrum (solitons) and a continuous spectrum (continuum), the matrix Riemann–Hilbert problem approach is used to derive the leading-order asymptotics as
of solutions
to the Cauchy problem for the defocusing nonlinear Schrödinger equation (
NLSE),
, with finite-density initial data
.The
NLSE dark soliton position shifts in the presence of the continuum are also obtained. 相似文献
4.
We find that the Laplace sequences of surfaces of period n in projective space P
n–1 have two types, while type II occurs only for even n. The integrability condition of the fundamental equations of these two types have the same form
When all
i
= 1, the above equations become two-dimensional Toda equations. Darboux transformations are used to obtain explicit solutions to the above equations and the Laplace sequences of surfaces. Two examples in P
3 of types I and II are constructed. 相似文献
5.
Dong Li 《Journal of statistical physics》2007,129(2):265-287
It has been shown in E and Li (Comm. Pure. Appl. Math., 2007, in press) that the Andersen dynamics is uniformly ergodic. Exponential convergence to the invariant measure is established
with an error bound of the form
where N is the number of particles, ν is the collision frequency and κ(ν)→const as ν→0. In this article we study the dependence on ν of the rate of convergence to equilibrium. In the one dimension and one particle case, we improve the error bound to be
In the d-dimension N-particle free-streaming case, it is proved that the optimal error bound is
It is also shown that as ν→∞, on the diffusive time scale, the Andersen dynamics converges to a Smoluchowski equation. 相似文献
6.
Daniel Maerten 《Letters in Mathematical Physics》2008,86(1):1-18
Eigenvalue estimate for the Dirac–Witten operator is given on bounded domains (with smooth boundary) of spacelike spin hypersurfaces
satisfying the dominant energy condition, under four natural boundary conditions (MIT, APS, modified APS and chiral conditions).
Roughly speaking, any eigenvalue of the Dirac–Witten operator satisfies
where is the infimum of (the opposite of) the Lorentzian norm of the constraints vector. Equality cases are also investigated and
lead to interesting geometric situations.
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7.
We continue our study of the collision of two solitons for the subcritical generalized KdV equations
Solitons are solutions of the type where c
0 > 0. In [21], mainly devoted to the case f (u) = u
4, we have introduced a new framework to understand the collision of two solitons , for (0.1) in the case (or equivalently, ). In this paper, we consider the case of a general nonlinearity f (u) for which , are nonlinearly stable. In particular, since f is general and c
1 can be large, the results are not perturbations of the ones for the power case in [21].
First, we prove that the two solitons survive the collision up to a shift in their trajectory and up to a small perturbation
term whose size is explicitly controlled from above: after the collision, , where is close to c
j
(j = 1, 2). Then, we exhibit new exceptional solutions similar to multi-soliton solutions: for all , there exists a solution such that
where (j = 1, 2) and converges to 0 in a neighborhood of the solitons as .
The analysis is split in two distinct parts. For the interaction region, we extend the algebraic tools developed in [21] for
the power case, by expanding f (u) as a sum of powers plus a perturbation term. To study the solutions in large time, we rely on previous tools on asymptotic
stability in [17,22] and [18], refined in [19,20].
This research was supported in part by the Agence Nationale de la Recherche (ANR ONDENONLIN). 相似文献
8.
C. Fronsdal 《Letters in Mathematical Physics》1991,22(3):225-228
The irreducible R-matrices associated with the quantum Liouville and sine-Gordon equations were classified by the su(2) index l, 2l integer. We find that the associated quantum field theories must have the following equal time operator product expansions in the lattice approximation
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9.
For an annular cathode in a coaxial diode it has been shown that the averaged electric field strength at the end face of the
cathode, En, depends on the edge thickness h as
10.
Kristian?Bjerkl?v 《Communications in Mathematical Physics》2009,286(1):137-161
We rigorously show that there can exist Strange Nonchaotic Attractors (SNA) in the quasi-periodically forced quadratic (or
logistic) map
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