61,784 research outputs found
Is there a prescribed parameter's space for the adiabatic geometric phase?
The Aharonov-Anandan and Berry phases are determined for the cyclic motions
of a non-relativistic charged spinless particle evolving in the superposition
of the fields produced by a Penning trap and a rotating magnetic field.
Discussion about the selection of the parameter's space and the relationship
between the Berry phase and the symmetry of the binding potential is given.Comment: 7 pages, 2 figure
Accurate calculation of resonances in multiple-well oscillators
Quantum--mechanical multiple--well oscillators exhibit curious complex
eigenvalues that resemble resonances in models with continuum spectra. We
discuss a method for the accurate calculation of their real and imaginary
parts
Estimates for the Sobolev trace constant with critical exponent and applications
In this paper we find estimates for the optimal constant in the critical
Sobolev trace inequality S\|u\|^p_{L^{p_*}(\partial\Omega) \hookrightarrow
\|u\|^p_{W^{1,p}(\Omega)} that are independent of . This estimates
generalized those of [3] for general . Here is the
critical exponent for the immersion and is the space dimension. Then we
apply our results first to prove existence of positive solutions to a nonlinear
elliptic problem with a nonlinear boundary condition with critical growth on
the boundary, generalizing the results of [16]. Finally, we study an optimal
design problem with critical exponent.Comment: 22 pages, submitte
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Limitations on Jurisdiction and Arbitration Agreements Based on Applicable Law and the Identity of the Carrier in Cargo Claim Disputes
The article demonstrates through an analysis of the limitations on choice of forum or arbitration agreements following the invalidity of a choice of law clause included in a charter party and/or a bill of lading (B/L). It is equally difficult enforcing a jurisdiction or arbitration clause included in a B/L if the parties are not clearly defined in the contract for the carrige of goods by sea. The article delivers some conclusions and suggests the approach to be taken by maritime contracting parties to overcome any feasible invalidity of a choice of forum or arbitration agreement based on the choice of law by European Member (EU) States’ courts
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Jurisdiction and Applicable Law to Claims Related to the Payment of Contributions to the Budget of an Association of Property Owners for the Maintenance of the Communal Areas of a Building
This comment on the judgment C-25/18 analyses the characterisation of the outstanding amounts payable by the owners of an apartment to the manager of the association of owners of the building in concept of maintenance costs of communal areas. The Court of Justice of the European Union identifies the court having jurisdiction according to Article 7(1)(a) (matters related to contract) of the Brussels I Recast Regulation and the applicable law according to Articles 4(1)(b) (provision of services). However, Article 4(1)(c) (rights in rem in immovable property) of the Rome I Regulation is not applicable
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Jurisdiction and Applicable Law to Contracts for the Sale of Goods and the Provision of Services including the Carriage of Goods by Sea and other Means of Transport in the European Union
The article analyses the jurisdiction and applicable law to contracts for the sale of godos and the provision of services in the European Union. It particularly focuses on contracts that subsume different categories of contracts, such as the carriage of goods by sea, in a contract for the sale of godos and the provision of services. The European Union law and the interpretation provided by the Court of Justice of the European Union shed light into the place of performance of the contract in order to set jurisdiction for national courts. This is explained through the current legal framework and the case law in order to ascertain where and under what legal regime the claimant may start proceedings for the breach of a contractual obligation or in case of a non-contractual claim
Natural and laser-induced cavitation in corn stems: On the mechanisms of acoustic emissions
Water in plant xylem is often superheated, and therefore in a meta-stable
state. Under certain conditions, it may suddenly turn from the liquid to the
vapor state. This cavitation process produces acoustic emissions. We report the
measurement of ultrasonic acoustic emissions (UAE) produced by natural and
induced cavitation in corn stems. We induced cavitation and UAE in vivo, in
well controlled and reproducible experiments, by irradiating the bare stem of
the plants with a continuous-wave laser beam. By tracing the source of UAE, we
were able to detect absorption and frequency filtering of the UAE propagating
through the stem. This technique allows the unique possibility of studying
localized embolism of plant conduits, and thus to test hypotheses on the
hydraulic architecture of plants. Based on our results, we postulate that the
source of UAE is a transient "cavity oscillation" triggered by the disruptive
effect of cavitation inception.Comment: 8 pages, 5 figure
Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
By tempered Monte Carlo simulations, we study site-diluted Ising systems of
magnetic dipoles. All dipoles are randomly placed on a fraction x of all L^3
sites of a simple cubic lattice, and point along a given crystalline axis. For
x_c< x<=1, where x_c = 0.65, we find an antiferromagnetic phase below a
temperature which vanishes as x tends to x_c from above. At lower values of x,
we find an equilibrium spin-glass (SG) phase below a temperature given by k_B
T_{sg} = x e_d, where e_d is a nearest neighbor dipole-dipole interaction
energy. We study (a) the relative mean square deviation D_q^2 of |q|, where q
is the SG overlap parameter, and (b) xi_L/L, where xi_L is a correlation
length. From their variation with temperature and system size, we determine
T_{sg}. In the SG phase, we find (i) the mean values and decrease
algebraically with L as L increases, (ii) double peaked, but wide,
distributions of q/ appear to be independent of L, and (iii) xi_L/L rises
with L at constant T, but extrapolations to 1/L -> 0 give finite values. All of
this is consistent with quasi-long-range order in the SG phase.Comment: 15 LaTeX pages, 15 figures, 3 tables. (typos fixed in Appendix A
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