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  • 1
    Electronic Resource
    Electronic Resource
    Marker and radioactive silicon tracer studies of PtSi formation (1992)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 72 (1992), S. 2232-2241 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Marker and radioactive 31Si experiments have been performed to investigate atomic diffusion during PtSi formation. The marker work used a thin metallic layer (Ti, Co, Ni) as a marker. Analysis of the marker displacement indicated growth dominated by silicon diffusion (∼90%). The interpretation of data from the radioactive tracer experiments is less clear cut. However, when examined in conjunction with the marker results, it would appear that either PtSi growth took place by silicon substitutional diffusion or by a mixed interstitial mechanism (i.e., a mixture of interstitial and interstitialcy diffusion). Arguments are presented to suggest that silicon vacancy diffusion during silicide growth is the most likely mechanism. This interpretation is found to be generally consistent with other recently published work on PtSi formation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.351616
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  • 2
    Electronic Resource
    Electronic Resource
    The uniqueness and approximation of a positive solution of the Bardeen–Cooper–Schrieffer gap equation (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 6007-6025 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this paper we study the Bardeen–Cooper–Schrieffer energy gap equation at finite temperatures. When the kernel is positive representing a phonon-dominant phase in a superconductor, the existence and uniqueness of a gap solution is established in a class which contains solutions obtainable from bounded domain approximations. The critical temperatures that characterize superconducting–normal phase transitions realized by bounded domain approximations and full space solutions are also investigated. It is shown under some sufficient conditions that these temperatures are identical. In this case the uniqueness of a full space solution follows directly. We will also present some examples for the nonuniqueness of solutions. The case of a kernel function with varying signs is also considered. It is shown that, at low temperatures, there exist nonzero gap solutions indicating a superconducting phase, while at high temperatures, the only solution is the zero solution, representing the dominance of the normal phase, which establishes again the existence of a transition temperature. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1286424
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  • 3
    Electronic Resource
    Electronic Resource
    Pt2Si formation: Diffusion marker and radioactive silicon tracer studies (1990)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 67 (1990), S. 230-236 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The moving species during the formation of first-phase platinum silicide, Pt2Si, by thermal annealing is identified with inert markers (Ti, Co, Ge, As) and radioactive 31Si as a tracer. Rutherford backscattering spectrometry is utilized to monitor the flow of atoms past the marker during the silicide forming reaction, while the position of the tracer after the reaction is determined by using sputter depth profiling and radioactivity measurements. Experiments with thin-film structures employing a reference marker at the substrate silicon/amorphous silicon interface and a mobile marker near the amorphous silicon/platinum interface clearly show a shift of the latter marker towards the surface of the sample. The radioactive tracer, initially embedded in nonradioactive silicon and metal, is moved from this position and concentrates at the sample surface. The outcome of both marker and tracer studies is consistent with a picture in which platinum diffuses during the formation of Pt2Si.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.345286
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  • 4
    Electronic Resource
    Electronic Resource
    Repetitive Post-Synaptic Discharge in a Sensory Nucleus (1953)
    [s.l.] : Nature Publishing Group
    Nature 171 (1953), S. 844-845 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Extensive electrophysiological studies in this laboratory have shown that the optic nerve and tract contain two groups of fibre sizes. This is clearly shown when only the crossed or uncrossed components of the optic tract are stimulated separately. The fibre groups in the crossed pathway, however, ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/171844a0
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  • 5
    Electronic Resource
    Electronic Resource
    The Raman Effect with Liquid Oxygen, Nitrogen, and Hydrogen (1929)
    [s.l.] : Nature Publishing Group
    Nature 123 (1929), S. 160-160 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] IN some experiments we recently made to see if a Raman effect could be observed with homopolar molecules, we found that the spectrum of the light scattered by liquid air included six sharp and clearly defined lines not included in the irradiating light, which was that from the mercury arc. The ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/123160a0
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  • 6
    Electronic Resource
    Electronic Resource
    A connection formula for the second Painlevé transcendent (1988)
    Springer
    Archive for rational mechanics and analysis 103 (1988), S. 97-138 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We consider the second Painlevé transcendent $$\frac{{d^2 y}}{{dx^2 }} = xy + 2y^3 .$$ It is known that if y(x) ∼ k Ai (x) as x → + ∞, where −1〈k〈1 and Ai (x) denotes Airy's function, then $$y(x) \sim d|x|^{ - \tfrac{1}{4}} sin\{ \tfrac{2}{3}|x|^{\tfrac{3}{2}} - \tfrac{3}{4}d^2 1n|x| - c\} ,$$ where the constants d, c depend on k. This paper shows that $$d^2 = \pi ^{ - 1} 1n(1 - k^2 )$$ , which confirms a conjecture by Ablowitz & Segur.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00251504
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  • 7
    Electronic Resource
    Electronic Resource
    Observations on Moser's inequality (1989)
    Springer
    Archive for rational mechanics and analysis 106 (1989), S. 261-285 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00281216
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  • 8
    Electronic Resource
    Electronic Resource
    Inhomogeneous Non‐Unidirectional Deformations of a Wedge of a Non‐Linearly Elastic Material (1999)
    Springer
    Archive for rational mechanics and analysis 147 (1999), S. 179-196 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002050050148
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  • 9
    Electronic Resource
    Electronic Resource
    The essential self-adjointness of Schrödinger-type operators (1976)
    Springer
    Archive for rational mechanics and analysis 60 (1976), S. 185-204 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The paper discusses conditions under which the formally self-adjoint elliptic differential operator in R m given by 1 $$\tau {\text{ }}u = \sum\limits_{j,{\text{ }}k = 1}^m {[i\partial _j + b_j (x)]} {\text{ }}a_{jk} (x){\text{ }}[i\partial _k + b_k (x)]{\text{ }}u + q(x){\text{ }}u$$ has a unique self-adjoint extension. The novel feature is that the major conditions on the coefficients have to be imposed only in an increasing sequence of shell-like regions surrounding the origin. On the other hand it is shown that if these shells are broken so as to allow a tube extending to infinity in which the conditions on the coefficients are too weak, then, regardless of the coefficients elsewhere, there may not be a unique self-adjoint extension. The mathematical theorems are linked to the quantum-mechanical interpretation of essential self-adjointness (in the case that τ is the Schrödinger operator), that there is a unique self-adjoint extension if the particle cannot escape to infinity in a finite time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00250679
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  • 10
    Electronic Resource
    Electronic Resource
    The approach of solutions of nonlinear diffusion equations to travelling front solutions (1977)
    Springer
    Archive for rational mechanics and analysis 65 (1977), S. 335-361 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The paper is concerned with the asymptotic behavior as t → ∞ of solutions u(x, t) of the equation ut—uxx—∞;(u)=O, x∈(—∞, ∞) , in the case ∞(0)=∞(1)=0, ∞′(0)〈0, ∞′(1)〈0. Commonly, a travelling front solution u=U(x-ct), U(-∞)=0, U(∞)=1, exists. The following types of global stability results for fronts and various combinations of them will be given. 1. Let u(x, 0)=u 0(x) satisfy 0≦u 0≦1. Let $$a\_ = \mathop {\lim \sup u0}\limits_{x \to - \infty } {\text{(}}x{\text{), }}\mathop {\lim \inf u0}\limits_{x \to \infty } {\text{(}}x{\text{)}}$$ . Then u approaches a translate of U uniformly in x and exponentially in time, if a− is not too far from 0, and a+ not too far from 1. 2. Suppose $$\int\limits_{\text{0}}^{\text{1}} {f{\text{(}}u{\text{)}}du} 〉 {\text{0}}$$ . If a − and a + are not too far from 0, but u0 exceeds a certain threshold level for a sufficiently large x-interval, then u approaches a pair of diverging travelling fronts. 3. Under certain circumstances, u approaches a “stacked” combination of wave fronts, with differing ranges.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00250432
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