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The values of the signal-to-noise ratio are determined, at which the method of processing X-ray diffraction data reveals reflections with intensity less than the noise component of the background. The possibilities of the method are…

In this paper we consider the {\it Density Functional Theory} (DFT) framework, where a functional of the form $$F_\eps(\rho)=\eps T(\rho)+bC(\rho)-U(\rho)$$ has to be minimized in the class of non-negative measures $\rho$ which have a…

Mathematical Physics · Physics 2025-07-02 Guy Bouchitté , Giuseppe Buttazzo , Thierry Champion , Luigi De Pascale

A stochastic approach for charge transport in diodes is developed in consistency with the laws of electricity, thermodynamics, and microreversibility. In this approach, the electron and hole densities are ruled by diffusion-reaction…

Statistical Mechanics · Physics 2018-06-06 Jiayin Gu , Pierre Gaspard

We propose and demonstrate a simple method to accurately monitor and program arbitrary states of partial crystallization in phase-change materials (PCMs). The method relies both on the optical absorption in PCMs as well as on the physics of…

In this paper, we propose the SPR (sparse phase retrieval) method, which is a new phase retrieval method for coherent x-ray diffraction imaging (CXDI). Conventional phase retrieval methods effectively solve the problem for high…

Data Analysis, Statistics and Probability · Physics 2016-03-29 Shiro Ikeda , Hidetoshi Kono

We demonstrate that electron-phonon interactions enhance the stability of charge density waves in low-temperature phases of many-electron systems. Our proof method involves an appropriate application of the Pirogov--Sinai theory to…

Mathematical Physics · Physics 2024-03-12 Tadahiro Miyao

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

Phase equilibrium calculation, also known as flash calculation, plays significant roles in various aspects of petroleum and chemical industries. Since Michelsen proposed his milestone studies in 1982, through several decades of development,…

Computational Physics · Physics 2020-08-11 Yuze Zhang , Yiteng Li , Lei Zhang , Shuyu Sun

The relationship between surfaces of constant charge density and triply-periodic minimal surfaces (TPMS) has been the subject of considerable speculation over many years. Zero-potential surfaces generated by an electrostatic field from a…

Materials Science · Physics 2025-09-05 Mengdi Yin , Dimitri D. Vvedensky

Electron ptychography provides highly sensitive, dose efficient phase images which can be corrected for aberrations after the data has been acquired. This is crucial when very precise quantification is required, such as with sensitivity to…

Materials Science · Physics 2023-07-27 Christoph Hofer , Timothy J. Pennycook

Amorphous, glass, and glass-ceramic materials practically always include a significant number (more than eight) of crystalline phases, with the contents of the latter ranging from a few wt.% to several hundredths or tenths of wt.%. The…

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

Mesoscale and Nanoscale Physics · Physics 2009-12-25 Moty Heiblum

Detection of single-electron charges in solid-state nanodevices is a key technique in semiconductor quantum bit readout for quantum information processing and probing electronic properties of nanostructures. This detection is achieved using…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Motoya Shinozaki , Yui Muto , Takahito Kitada , Tomohiro Otsuka

How, in principle, could one solve the atomic structure of a quasicrystal, modeled as a random tiling decorated by atoms, and what techniques are available to do it? One path is to solve the phase problem first, obtaining the density in a…

Materials Science · Physics 2007-05-23 C. L. Henley , V. Elser , M. Mihalkovic

Crystalline phase structure is essential for understanding the performance and properties of a material. Therefore, this study identified and quantified the crystalline phase structure of a sample based on the diffraction pattern observed…

Materials Science · Physics 2023-09-27 Ryo Murakami , Yoshitaka Matsushita , Kenji Nagata , Hayaru Shouno , Hideki Yoshikawa

X-ray fluorescence holography (XFH) is a method for obtaining diffraction-limited images of the local atomic structure around a given type of emitter. The reconstructed wave-field represents a distorted image of the scatterer electron…

Condensed Matter · Physics 2009-09-29 S. Marchesini , C. S. Fadley , F. J. Garcia de Abajo

Traditional x-ray photoelectron spectroscopy (XPS) relies upon a direct mapping between the photoelectron binding energies and the local chemical environment, which is well-characterized by an electrostatic partial charges model for systems…

Variation of the phase of the beam transmitted through a crystalline material as a function of the rocking angle is a well known dynamical effect in x-ray scattering. Unfortunately, it is not so easy to measure directly these phase…

Materials Science · Physics 2016-06-01 O. Yu. Gorobtsov , I. A. Vartanyants

Estimating the tortuosity of porous electrodes is important for understanding the performance of lithium-ion batteries and optimizing the design of electrode microstructures. In this work, a new method for estimating the tortuosity of…

Materials Science · Physics 2025-03-10 Zongli Chen , Chenzhe Li , Ying Zhao

We present a novel method, which we call dual minima hopping method (DMHM), that allows us to find the global minimum of the potential energy surface (PES) within density functional theory for systems where a fast but less accurate…

Other Condensed Matter · Physics 2009-11-11 Stefan Goedecker , Waldemar Hellmann , Thomas Lenosky