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101.
Pietro Caputo Fabio Martinelli François Simenhaus Fabio Lucio Toninelli 《纯数学与应用数学通讯》2011,64(6):778-831
We consider the Glauber dynamics for the Ising model with “+” boundary conditions, at zero temperature or at a temperature that goes to zero with the system size (hence the quotation marks in the title). In dimension d = 3 we prove that an initial domain of linear size L of “−” spins disappears within a time τ+, which is at most L2(log L)c and at least L2/(c log L) for some c > 0. The proof of the upper bound proceeds via comparison with an auxiliary dynamics which mimics the motion by mean curvature that is expected to describe, on large time scales, the evolution of the interface between “+” and “−” domains. The analysis of the auxiliary dynamics requires recent results on the fluctuations of the height function associated to dimmer coverings of the infinite honeycomb lattice. Our result, apart from the spurious logarithmic factors, is the first rigorous confirmation of the Lifshitz law τ+ ≃ const × L2, conjectured on heuristic grounds [8, 13]. In dimension d = 2, τ+ can be shown to be of order L2 without logarithmic corrections: the upper bound was proven in [6], and here we provide the lower bound. For d = 2, we also prove that the spectral gap of the generator behaves like for L large, as conjectured in [2]. © 2011 Wiley Periodicals, Inc. 相似文献
102.
We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic
quantities, for a large class of mean field disordered models, as for example the Sherrington-Kirkpatrick model, and the Derrida
p-spin model. The main argument is based on a smooth interpolation between a large system, made of N spin sites, and two similar but independent subsystems, made of N
1
and N
2
sites, respectively, with N
1
+N
2
=N. The quenched average of the free energy turns out to be subadditive with respect to the size of the system. This gives immediately
convergence of the free energy per site, in the infinite volume limit. Moreover, a simple argument, based on concentration
of measure, gives the almost sure convergence, with respect to the external noise. Similar results hold also for the ground
state energy per site.
Received: 19 April 2002 / Accepted: 22 April 2002 Published online: 6 August 2002 相似文献
103.
104.
A theoretical model of disorder for the etched holes or pillars in a generic two-dimensional photonic crystal slab is presented. This model is employed to calculate the effects of size disorder on propagation losses in linear photonic crystal waveguides as well as on quality (Q)-factors in photonic crystal nano-cavities. The main results obtained by the present theory and shown in this work are: (a) large single-mode bandwidth and low-loss (<0.1 dB/mm) propagation of light is predicted for increased-width membrane-type photonic crystal waveguides, (b) pillar-based lattices show reduced sensitivity to size fluctuations than hole-based ones, (c) the effects of disorder on cavity Q-factors are quantitatively evaluated. An extension of the model is also introduced in order to take into account the side-wall micro-roughness of the perfectly vertical holes, and preliminary results of this more general approach are discussed. 相似文献
105.
Lucio Randaccio Silvano Geremia Jochen Wuerges 《Journal of organometallic chemistry》2007,692(6):1198-1215
This review deals with results from crystallographic studies on proteins that interact with the essential micronutrient cobalamin (vitamin B12). Both B12-dependent enzymes and B12-transport proteins are described with an emphasis on structural aspects of cobalamin and its protein environment. 相似文献
106.
107.
Angular distributions of γ-rays from the 2H(d, γ)4He reaction have been measured at the deuteron energies Ed = 6.05, 8.96 and 11.67 MeV with a 12.7 cm × 15.2 cm NaI(Tl) crystal enclosed in a Cerenkov anticoincidence shield. A least-square fit of the angular distributions indicates that the differential cross section is proportional to sin2θ cos2θ and that the process proceeds through an E2 transition of the type . 相似文献
108.
109.
Lucio Demeio 《Reports on Mathematical Physics》1997,40(3):455-464
In this work we study the stability of the spatially homogeneous solutions of the Vlasov-Poisson system (Vlasov equilibria) when a collision term, in the form of a BGK operator with velocity-dependent collision frequency, is added to the Vlasov equation. Generalizing earlier results, obtained for the same collision model with a constant collision frequency, we find the spectrum and the eigenfunctions of the linear transport operator and derive a new linear dispersion relation for the linearized kinetic equations. Finally, we present some numerical results. 相似文献
110.
Isolation of Eucommiol a new cylopentenoid-tetrol from Eucommia Ulmoides (Eucommiaceae) is described. Its structure and absolute stereochemistry have been demonstrated. 相似文献