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In this study, novel exact solutions of the Duffing equation with their phase portraits have been proposed and reasoned. It is shown that phase trajectories are initially elliptical and become distorted in the unstable area within the…

Disordered Systems and Neural Networks · Physics 2026-01-01 A. D. Berezner , V. A. Fedorov , N. S. Perov , G. V. Grigoriev

Statistical uncertainties in determining the temperatures of hot (0.5 keV to 10 keV) coronal plasmas are investigated. The statistical precision of various spectral temperature diagnostics is established by analyzing synthetic ASCA…

Astrophysics · Physics 2009-10-22 Douglas A. Swartz , S. L. O'Dell , M. E. Sulkanen , A. F. Tennant

In materials, certain approximated symmetry operations can exist in a lower-order approximation of the effective model but are good enough to influence the physical responses of the system, and these approximated symmetries were recently…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Lun-Hui Hu , Chunyu Guo , Yan Sun , Claudia Felser , Luis Elcoro , Philip J. W. Moll , Chao-Xing Liu , B. Andrei Bernevig

Although quasicrystals have been studied for 25 years, there are many open questions concerning their stability: What is the role of phason fluctuations? Do quasicrystals transform into periodic crystals at low temperature? If yes, by what…

Other Condensed Matter · Physics 2009-04-01 Michael Engel , Hans-Rainer Trebin

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Granular matter exists out of thermal equilibrium, i.e. it is athermal. While conventional equilibrium statistical mechanics is not useful for characterizing granular materials, the idea of constructing a statistical ensemble analogous to…

Soft Condensed Matter · Physics 2013-07-18 Dapeng Bi , Jie Zhang , R. P. Behringer , Bulbul Chakraborty

The application of molecular dynamics (MD) simulations to quasistatic loading is severely limited by the large separation between atomic vibration timescales and experimentally relevant deformation rates. In this work we employ the…

Materials Science · Physics 2026-05-27 Sarthok Kumar Baruah , Sabyasachi Chatterjee , Amit Acharya , Gerald J. Wang

Static and dynamical properties of elastic phase transitions under the influence of short--range defects, which locally increase the transition temperature, are investigated. Our approach is based on a Ginzburg--Landau theory for…

Condensed Matter · Physics 2016-08-31 M. Bulenda , F. Schwabl , U. C. Täuber

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

Almost all observed square-triangle quasicrystals in soft-matter systems contain a large number of point-like defects, yet the role these defects play in stabilizing the quasicrystal phase remains poorly understood. In this work, we…

Soft Condensed Matter · Physics 2026-02-04 Alptuğ Ulugöl , Giovanni Del Monte , Eline K. Kempkes , Frank Smallenburg , Laura Filion

Analytic expressions for the energy eigenvalues and eigenfunctions of a one-dimensional harmonic crystal are obtained. The average energy and density profiles are obtained numerically as a function of temperature. A surprisingly large…

Quantum Physics · Physics 2021-08-30 Phil Attard

Shear stresses are the driving forces for the creation of both point and extended defects in crystals subjected to high pressures and temperatures. Recently, we observed anomalous elastic materials response in shock-compressed silicon and…

Materials Science · Physics 2009-11-11 I. I. Oleynik , S. V. Zybin , M. L. Elert , C. T. White

Using positional data from video-microscopy and applying the equipartition theorem for harmonic Hamiltonians, we determine the wave-vector-dependent normal mode spring constants of a two-dimensional colloidal model crystal and compare the…

Soft Condensed Matter · Physics 2012-10-26 P. Keim , G. Maret , U. Herz , H. H. von Grünberg

We initiate the study of equilibration rates of strongly coupled quark-gluon plasmas in the absence of conformal symmetry. We primarily consider a supersymmetric mass deformation within ${\cal N}=2^{*}$ gauge theory and use holography to…

High Energy Physics - Theory · Physics 2015-06-24 Alex Buchel , Michal P. Heller , Robert C. Myers

In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

Colloidal crystals permeated by mobile ions exhibit a coupling between electrostatic and elastic degrees of freedom that renormalizes the effective screening length and induces wave-vector-dependent elastic softening. Building on a recently…

Soft Condensed Matter · Physics 2026-04-27 Hao Wu , Zhong-Can Ou-Yang

Instabilities relating to cooperative octahedral tilting is common in materials with perovskite structures, and in particular in the sub class of halide perovskites. In this work, the energetics of octahedral tilting in the inorganic metal…

Materials Science · Physics 2019-03-27 Johan Klarbring

We report on a laser generated and detected surface acoustic wave method for evaluating the elastic constants of micro-crystals composing polycrystalline steel. The method is based on the measurement of surface wave velocities in many…

Silver-based chalcohalide anti-perovskites (CAP), Ag$_{3}$BC (B = S, Se; C = Cl, Br, I), represent an emerging family of energy materials with intriguing optoelectronic, vibrational and ionic transport properties. However, the structural…

Recent applications (e.g. active gels and self-assembly of elastic sheets) motivate the need to efficiently simulate the dynamics of thin elastic sheets. We present semi-implicit time stepping algorithms to improve the time step constraints…

Computational Physics · Physics 2019-10-23 Silas Alben , Alex A. Gorodetsky , Donghak Kim , Robert D. Deegan