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1.
2.
We study a small quantum system (e.g., a simplified model for an atom or molecule) interacting with two bosonic or fermionic
reservoirs (say, photon or phonon fields). We show that the combined system has a family of stationary states parametrized
by two numbers, T
1 and T
2 (‘reservoir temperatures’). If T
1 ≠ T
2, then these states are non-equilibrium stationary states (NESS). In the latter case we show that they have nonvanishing heat
fluxes and positive entropy production and are dynamically asymptotically stable. The latter means that the evolution with
an initial condition, normal with respect to any state where the reservoirs are in equilibria at temperatures T
1 and T
2, converges to the corresponding NESS. Our results are valid for the temperatures satisfying the bound min (T
1,T
2) > g
2 + α, where g is the coupling constant and 0 < α < 1 is a power related to the infra-red behaviour of the coupling functions.
Submitted: March 20, 2006. Revised: March 19, 2007. Accepted: May 11, 2007.
Marco Merkli: Partly supported by an NSERC PDF, the Institute of Theoretical Physics of ETH Zürich, Switzerland, the Departments
of Mathematics of McGill University and the University of Toronto, Canada.
Matthias Mück: Supported by DAAD under grant HSP III.
Israel Michael Sigal: Supported by NSERC under grant NA7901. 相似文献
3.
4.
We introduce triplet spaces for symmetric relations with defect index (1, 1) in a Pontryagin space. Representations of Pontryagin spaces by spaces of vector-valued analytic functions are investigated. These concepts are used to study 2×2-matrix valued analytic functions which satisfy a certain kernel condition. 相似文献
5.
6.
The parton distributions of the nucleon are evaluated dynamically using the assumption that at some low resolution scale the nucleon consists entirely of valence quarks. A simple parametrization of the resulting gluon distribution is presented, forx? 10?5 up toQ 2?106 GeV2. This gluon distribution is predicted dicted to be much steeper and larger in the very smallx region (x<10?2) than usually assumed. Applications to deep inelastic scaling violations and heavy quark (c, b, t) contribution are discussed and presented as well as hadronic heavy quark production at SSC/LHC energies. For example, the \(b\bar b\) production rate at 40 TeV is predicted to be about an order of magnitude larger than that estimated with other gluon distributions so far. 相似文献
7.
8.
Investigations on Electronically Conducting Oxide Systems. XVI. Solid Solutions and Conductivity in the System MgTi2O5? Ti3O5 Solid solution formation is reported for the system Mg1–xTi2–xIVTi2xIIIO5. With increasing x there is at room temperature a transition from the orthorhombic pseudobrookite structure to the monoclinic low-temperature modification of Ti3O5. The X-ray diffraction pattern results are supported by DSC measurements, electrical and magnetic investigations. The tendency of Ti? Ti pair formation in the low-temperature Ti3O5 structure is accompanied by a drop of the activation energy for electrical conductivity and a decreasing susceptibility at high TiIII concentrations. 相似文献
9.
Summary Measurements of the dynamic Youngs modulus and shear modulus of Polymethylmethacrylate (PMMA) in the frequency range from 10–3 cps to 10–1 cps and in the temperature range from –20°C to 100°C up to stress amplitudes of 4 kN/cm2 are presented. The measured nonlinear viscoelastic behavior is discussed with regard to nonlinear elasticity and nonlinear effects caused by the shift of relaxation times due to the reaction rate theory.
ckquote>Zusammenfassung Es wird über Messungen des dynamischen Elastizitätsmoduls und Schubmodells von Polymethacrylsäuremethylester (PMMA) im Frequenzbereich von 10–3 Hz bis 10–1 Hz und im Temperaturbereich von –20°C bis +100°C bei Spannungsamplituden bis zu 4 kN/cm2 berichtet. Das gemessene nichtlineare viskoelastische Verhalten wird hinsichtlich einer nichtlinearen Elastizität und hinsichtlich nichtlinearer Effekte, die durch eine Verschiebung der Relaxationszeiten nach der Platzwechseltheorie verursacht sind, diskutiert. ckquote>
With 21 figures 相似文献
With 21 figures 相似文献
10.
New investigations of cyclosporin A in CDCl3 have been performed to obtain additional and more accurate distance restraints than utilized in our previous studies of cyclosporin A. Build-up rates at 600 MHz using 6 different mixing times at low temperatures (252.5 K) were determined and transformed into distances using the two-spin approximation. With the new distance restraints in the MD simulations using the GROMOS package, we can unambiguously conclude the presence of a βII′-turn. The new structure resembles the X-ray structure more than the structure previously determined, especially regarding the orientation of the MeBmt side chain. In the new structure and in the solid state, the side chain is folded over the backbone (although there are substantial differences in the χ1 torsion), in contrast to the old structure, where the side chain is extended away from the backbone. 相似文献