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This article is devoted to sets having the Moran structure. The main attention is given to topological, metric, and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own…

Classical Analysis and ODEs · Mathematics 2022-06-29 Symon Serbenyuk

The study of local function in topological spaces is remarkable. Various branches have been developed through this study. In this paper, we further consider the local function and exploring the various properties of the same by considering…

General Topology · Mathematics 2025-03-04 Sk. Selim , Chhapikul Miah , Monoj Kumar Das , Shyamapada Modak

The behavior of nuclear matter is studied at low densities and temperatures using classical molecular dynamics with three different sets of potentials with different compressibility. Nuclear matter is found to arrange in crystalline…

Nuclear Theory · Physics 2013-05-13 C. O. Dorso , P. A. Giménez Molinelli , J. I. Nichols , J. A. López

In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension. The model is a system of particles interacting through a two length scales…

Soft Condensed Matter · Physics 2016-02-17 Elsa M. de la Calleja-Mora , Leandro B. Krott , Marcia C. Barbosa

The inherent structure approach, wherein thermodynamic and structural changes in glass forming liquids are analyzed in terms of local potential energy minima that the liquid samples, has recently been applied extensively to the study of…

Statistical Mechanics · Physics 2007-05-23 Srikanth Sastry

The fundamental construct of organic chemistry involves understanding molecular behavior through functional groups. Much of computational chemistry focuses on this very principle, but metallic materials are rarely analyzed using these…

Materials Science · Physics 2022-06-15 Malavikha Rajivmoorthy , Timothy R. Wilson , M. E. Eberhart

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

A stochastical description is applied in order to understand how ferroelectric structures can be formed. The predictions are compared with experimental data of the so-called electrical fixing: Domains are patterned in photorefractive…

Optics · Physics 2009-11-13 Felix Kalkum , Helge A. Eggert , Tobias Jungk , Karsten Buse

A routine crystallography technique, crystal structure analysis, is rarely performed in computational condensed matter research. The lack of methods to identify and characterize crystal structures reliably in particle simulation data…

Materials Science · Physics 2021-06-29 Michael Engel

A Landau theory is presented for the structural transition of electrically stabilized colloidal crystals under shear. The model suggests that a structural transition from an ordered layered colloidal crystal into a disordered structure…

Materials Science · Physics 2013-12-31 Joachim Kaldasch , Bernhard Senge , Jos Laven

We introduce structural heterogeneity, a new topological characteristic for semi-ordered materials that captures their degree of organisation at a mesoscopic level and tracks their time-evolution, ultimately detecting the order-disorder…

The structural investigations of nanomaterials motivated by their large variety and diverse set of applications have attracted considerable attention. In particular, the ever-improving machinery, both in laboratory and at large scale…

Materials Science · Physics 2020-04-07 Dominik Kriegner , Milan Dopita

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

Materials Science · Physics 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

A conception of inhomogeneous locally random distribution of microdefects in crystalline solids is proposed. A method to calculate some physical properties of solids, containing inhomogeneously distributed defects, is developed. A…

Materials Science · Physics 2007-05-23 Yuri Kornyushin

Soft-granular media, such as dense emulsions, foams or tissues, exhibit either fluid- or solid-like properties depending on the applied external stresses. Whereas bulk rheology of such materials has been thoroughly investigated, the…

Soft Condensed Matter · Physics 2024-07-04 Michal Bogdan , Jesus Pineda , Mihir Durve , Leon Jurkiewicz , Sauro Succi , Giovanni Volpe , Jan Guzowski

We analyze the fluctuations in particle positions and inter-particle forces in disordered jammed crystals in the limit of weak disorder. We demonstrate that such athermal systems are fundamentally different from their thermal counterparts,…

Soft Condensed Matter · Physics 2020-07-08 Pappu Acharya , Surajit Sengupta , Bulbul Chakraborty , Kabir Ramola

We generalize, and then use, a recently introduced formalism to study thermal fluctuations of atomic displacements in several two and three dimensional crystals. We study both close packed as well as open crystals with multi atom bases.…

Statistical Mechanics · Physics 2019-09-18 Pankaj Popli , Sayantani Kayal , Peter Sollich , Surajit Sengupta

The local structure in high temperature superconductors is nowadays considered a key point for understanding superconductivity mechanism. MgB2 has a well-known simple structure; but its local structure remains quite unexplored. This is due…

Superconductivity · Physics 2012-05-04 G. Campi , A. Ricci , A. Bianconi

The microscopic arrangement of atoms and molecules is the determining factor in how materials behave and perform. Beyond the long-range periodicity, the local disorder with local structures deviating from the average lattice structure plays…

Materials Science · Physics 2024-05-15 Jingjun Li , Yingpeng Qi , Qing Yang , Luye Yue , Changyuan Yao , Zijing Chen , Sheng Meng , Dao Xiang , Jianming Cao

The phenomenology of glass-forming liquids is often described in terms of their underlying, high-dimensional potential energy surface. In particular, the statistics of stationary points sampled as a function of temperature provides useful…

Statistical Mechanics · Physics 2021-01-06 Masanari Shimada , Daniele Coslovich , Hideyuki Mizuno , Atsushi Ikeda
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