Microscopic Spin Hamiltonian for a Dipolar Heisenberg Magnet LiGdF4 from EPR Measurements

JETP Letters - Low-temperature electron paramagnetic resonance measurements are performed on single crystals of LiY1 ?xGdxF4 with low $$x = 0.005$$ and moderate $$x = 0.05$$...     

Convergence in the p-Contest

Journal of Statistical Physics - We study asymptotic properties of the following Markov system of $$N \ge 3$$ points in [0, 1]. At each time step, the point farthest from the...     

On Fermionic walkers interacting with a correlated structured environment

Letters in Mathematical Physics - We study the large-time behaviour of a sample $$\mathcal {S}$$ consisting of an ensemble of fermionic walkers on a graph interacting with a structured...     

A two particle hidden sector and the oscillations with photons

The European Physical Journal C - The search for the lepton flavor violating decay $$\mu ^+ \rightarrow e^+ \gamma $$  will reach an unprecedented level of sensitivity within the next five...     

A Version of Herbert A. Simon’s Model with Slowly Fading Memory and Its Connections to Branching Processes

Journal of Statistical Physics - Construct recursively a long string of words $$w_1,\ldots w_n,$$ such that at each step k,  $$w_{k+1}$$ is a new word with a fixed probability $$p\in...     

Regularity of SRB Entropy for Geometric Lorenz Attractors

Journal of Statistical Physics - We consider the classical geometric Lorenz attractors, showing that the SRB entropy admits $$\gamma $$ -Hölder continuity for any $$0<\gamma <1$$ .     

Form Factor of Proton Predicted Using the Data of ppbar Elastic Scattering at $$\boldsymbol{\sqrt{s}=1.96}$$ eV

Physics of Atomic Nuclei - Based on the behavior of elastic scattering of proton and anti-proton at $$\sqrt{s}=1.96$$ TeV for squared four-momentum transfer $$0.26<{-}t<1.2($$ GeV...     

Measurement of the $$^{232}$$ Th(n,f) cross section with quasi-monoenergetic neutron beams in the energy range 2–18 MeV

The European Physical Journal A - The E1 contribution to the capture reaction $$^7\mathrm {Li}(n,\gamma )^8\mathrm {Li}$$  is calculated at low energies. We employ a coupled-channel...     

Radiative Constants in the W VII Ion Spectrum

Optics and Spectroscopy - The probabilities of the 4 f 135p66p + 4 f 145p56p – 4 f 136s, 4 f 137s radiative transitions...     

Synthesis,Structure, and Thermophysical Properties of Pb10 – xBix(GeO4)2 + xVO4)4 – x (x = 0–3) in the Temperature Range of 350–950 K

Physics of the Solid State - The Pb10 – xBix(GeO4)2 + x(VO4)4 – x (x = 0–3) compounds with an apatite structure have been...     

Multiple Emissions of Splashes upon Drop Impact

Doklady Physics - For the first time, photo and video detection is carried out for all groups of small droplets (splashes) emitted when a drop of $$0.2 < D < 0.5$$ cm in diameter...     

Lifshitz Tails for the Fractional Anderson Model

Journal of Statistical Physics - We consider the d-dimensional fractional Anderson model $$(-\Delta )^\alpha + V_\omega $$ on $$\ell ^2({\mathbb {Z}}^d)$$ where $$0<\alpha \leqslant 1$$....     

Stability of Two Soliton Collision for Nonintegrable gKdV Equations

We continue our study of the collision of two solitons for the subcritical generalized KdV equations

Torelli Theorem for the Deligne–Hitchin Moduli Space

Fix integers g ≥ 3 and r ≥ 2, with r ≥ 3 if g = 3. Given a compact connected Riemann surface X of genus g, let denote the corresponding Deligne–Hitchin moduli space. We prove that the complex analytic space determines (up to an isomorphism) the unordered pair , where is the Riemann surface defined by the opposite almost complex structure on X.     

Bethe Algebra of Homogeneous <Emphasis Type="Italic">XXX</Emphasis> Heisenberg Model has Simple Spectrum

We show that the algebra of commuting Hamiltonians of the homogeneous XXX Heisenberg model has simple spectrum on the subspace of singular vectors of the tensor product of two-dimensional -modules. As a byproduct we show that there exist exactly two-dimensional vector subspaces with a basis such that deg f = l, deg g = n − l + 1 and f (u)g(u − 1) − f (u − 1)g(u) = (u + 1) ⁿ . Supported in part by NSF grant DMS-0601005. Supported in part by RFFI grant 08-01-00638. Supported in part by NSF grant DMS-0555327.     

Single Centers and Dimers of Impurity Holmium Ions in Synthetic Forsterite Crystals: High-Resolution Spectroscopy

Optics and Spectroscopy - High-resolution low-temperature absorption spectra in the region of the 5I8 → 5I7,&nbsp;6,&nbsp;5,&nbsp;4, 5F5 transitions in impurity Ho3+ ions in...     

Microwave-assisted synthesis and characterization of SrMoO4 and SrWO4 nanocrystals

Journal of Nanoparticle Research - SrMoO4 and SrWO4 nanocrystals have been synthesized using Sr(NO3)2 and Na2MeO4 (Me&nbsp;=&nbsp;Mo and W) in ethylene glycol by a microwave irradiation...     

A Criterion for Uniqueness of Lagrangian Trajectories for Weak Solutions of the 3D Navier-Stokes Equations

Foias, Guillopé, & Temam showed in 1985 that for a given weak solution of the three-dimensional Navier-Stokes equations on a domain Ω, one can define a ‘trajectory mapping’ that gives a consistent choice of trajectory through each initial condition , and that respects the volume-preserving property one would expect for smooth flows. The uniqueness of this mapping is guaranteed by the theory of renormalised solutions of non-smooth ODEs due to DiPerna & Lions. However, this is a distinct question from the uniqueness of individual particle trajectories. We show here that if one assumes a little more regularity for u than is known to be the case, namely that , then the particle trajectories are unique and C ¹ in time for almost every choice of initial condition in Ω. This degree of regularity is more than can currently be guaranteed for weak solutions () but significantly less than that known to ensure that u is regular ( . We rely heavily on partial regularity results due to Caffarelli, Kohn, & Nirenberg and Ladyzhenskaya & Seregin.