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Physics Letters A, ISSN 0375-9601, 10/2016, Volume 380, Issue 43, pp. 3583 - 3587
A classical harmonic diatomic chain is studied using the recurrence relations method. The momentum autocorrelation function results from contributions of... 
Momentum autocorrelation function | Recurrence relations method | Elliptic functions | Bessel functions | Acoustic and optical branches | Diatomic chain | DEFECTS | TIME EVOLUTION | PHYSICS, MULTIDISCIPLINARY | RECURRENCE RELATIONS | MODEL | HARMONIC-OSCILLATOR CHAIN | IMPURITY MASS | DYNAMICS | CRYSTALS | LATTICE
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 08/2010, Volume 82, Issue 2, p. 021301
We investigate the propagation and scattering of highly nonlinear waves in disordered granular chains composed of diatomic (two-mass) units of spheres that... 
SOLITARY WAVES | PULSE-PROPAGATION | PHYSICS, FLUIDS & PLASMAS | MEDIA | LATTICES | DIFFUSION | ANDERSON LOCALIZATION | IMPURITIES | PHYSICS, MATHEMATICAL
Journal Article
The European Physical Journal B, ISSN 1434-6028, 2/2018, Volume 91, Issue 2, pp. 1 - 17
A classic diatomic chain with a mass impurity is studied using the recurrence relations method. The momentum autocorrelation function of the impurity is a sum... 
Condensed Matter Physics | Solid State Physics | Fluid- and Aerodynamics | Statistical and Nonlinear Physics | Complex Systems | Physics, general | Physics | DYNAMICS | PHYSICS, CONDENSED MATTER | MODEL | TIME EVOLUTION | EQUATION | HARMONIC-OSCILLATOR CHAIN
Journal Article
The European Physical Journal B, ISSN 1434-6028, 5/2017, Volume 90, Issue 5, pp. 1 - 13
We use recurrence relations method to study a classical harmonic diatomic chain. The momentum autocorrelation function results from contributions of acoustic... 
Condensed Matter Physics | Solid State Physics | Fluid- and Aerodynamics | Statistical and Nonlinear Physics | Complex Systems | Physics, general | Physics | ALTERNATING MASSES | PHYSICS, CONDENSED MATTER | TIME EVOLUTION | IMPURITY MASS | RECURRENCE RELATIONS | HARMONIC-OSCILLATOR CHAIN
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2015, Volume 438, pp. 469 - 486
A classic diatomic chain with a mass impurity is studied using the recurrence relations method. The dependence of frequency and amplitude upon two mass ratios... 
Cut & pole contributions | Frequencies and amplitudes | Ergodicity | Envelope | Impurity in diatomic chain | Frequency theorem | HARMONIC-OSCILLATOR | SPIN | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | XY CHAIN | EQUATION
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2014, Volume 398, pp. 252 - 263
A chain composed of classic harmonic oscillators with alternating masses and one mass impurity is studied using the recurrence relations method. The dynamics... 
Frequencies and amplitudes of the pole vibrations | Ergodicity | Recurrence relations method | Acoustic and optic branches | Impurity in a diatomic chain | HARMONIC-OSCILLATOR | TIME EVOLUTION | PHYSICS, MULTIDISCIPLINARY | VIBRATION | MODEL | DYNAMICS | XY CHAIN | EQUATION | Poles | Autocorrelation functions | Amplitudes | Impurities | Chains | Criteria | Statistical mechanics | Oscillators
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 01/2008, Volume 77, Issue 1, p. 015601
We investigate the propagation of highly nonlinear solitary waves in heterogeneous, periodic granular media using experiments, numerical simulations, and... 
PHYSICS, FLUIDS & PLASMAS | DIATOMIC LATTICES | DYNAMICS | IMPURITIES | PHYSICS, MATHEMATICAL | GUIDE ARRAYS | DISCRETE GAP SOLITONS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2016, Volume 447, pp. 411 - 421
The momentum autocorrelation function of a mass impurity in a classic diatomic chain is studied using the recurrence relations method. General expressions for... 
Ergodicity | Recurrence relations method | Limiting cases | Impurity in a diatomic chain | HARMONIC-OSCILLATOR | TIME EVOLUTION | SPIN | PHYSICS, MULTIDISCIPLINARY | RECURRENCE RELATIONS | HEISENBERG CHAIN | DYNAMIC CORRELATIONS | SYSTEMS | EQUATION | Poles | Autocorrelation functions | Impurities | Infinity | Chains | Statistical mechanics | Oscillators | Constraining
Journal Article
Low Temperature Physics, ISSN 1063-777X, 08/2011, Volume 37, Issue 8, pp. 699 - 706
Within the tight-binding model, numerical calculations of one-electron spectra of long disordered two-component linear chains are performed. The general... 
VICINITY | DIATOMIC CHAINS | PHYSICS, APPLIED | FRACTAL CHARACTER | ISOTOPIC IMPURITIES | VIBRATIONAL-SPECTRUM | LOCAL MODE
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 1998, Volume 113, Issue 2, pp. 248 - 260
We investigate the structure and stability of nonlinear surface modes in one-dimensional monoatomic and diatomic lattices. For a monoatomic lattice, we show... 
CHAIN | LOCALIZED VIBRATIONAL-MODES | MATHEMATICS, APPLIED | SOLITONS | PHYSICS, MULTIDISCIPLINARY | ANHARMONIC GAP MODES | IMPURITY | QUARTIC ANHARMONICITY | POTENTIALS | PHYSICS, MATHEMATICAL
Journal Article
Low Temperature Physics, ISSN 1063-777X, 07/2008, Volume 34, Issue 7, pp. 583 - 591
A detailed calculation and analysis of the vibrational spectrum of long disordered linear chains with arbitrary ratios of the concentrations of two components... 
LINEAR-CHAINS | VICINITY | DIATOMIC CHAINS | PHYSICS, APPLIED | ISOTOPIC IMPURITIES | LATTICE | LOCAL MODE
Journal Article
Physica B: Physics of Condensed Matter, ISSN 0921-4526, 2001, Volume 296, Issue 1, pp. 251 - 258
We consider a diatomic chain of heavy ions coupled by hydrogen bonds which are sufficiently strong compared with other interactions in the system. In this... 
Diatomic lattices | Hydrogen-bonded chains | Anticontinuous limit | Discrete breathers | PHYSICS, CONDENSED MATTER | NONLINEAR LATTICES | IMPURITY | diatomic lattices | POTENTIALS | BONDED CHAINS | discrete breathers | MODES | SOLITONS | anticontinuous limit | DIMENSIONAL DIATOMIC LATTICE | DYNAMICS | hydrogen-bonded chains
Journal Article
physica status solidi (b), ISSN 0370-1972, 11/1994, Volume 186, Issue 1, pp. 101 - 117
In expansion of well‐known results of dynamic and optical properties of anharmonic ideal crystals, a perturbation theory, using Matsubara functions and... 
PHYSICS, CONDENSED MATTER | ISOTOPIC IMPURITIES | RELAXATION | SOLIDS
Journal Article
Pramana, ISSN 0304-4289, 06/1978, Volume 10, Issue 6, pp. 621 - 627
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 06/2003, Volume 13, Issue 2, pp. 754 - 765
A discussion of intrinsic localized modes (ILMs) in photonic crystals is given. Emphasis is placed on ILMs in photonic crystal waveguides formed from Kerr... 
ANHARMONIC RESONANT MODES | MATHEMATICS, APPLIED | GAP SOLITONS | NONLINEAR PERIODIC STRUCTURES | DIMENSIONAL DIATOMIC LATTICE | IMPURITY | BREATHERS | WAVE-GUIDE ARRAYS | POTENTIALS | PHYSICS, MATHEMATICAL | PROPAGATION | STATIONARY
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2000, Volume 284, Issue 1-4, pp. 231 - 240
By means of molecular dynamics simulations we have investigated local energy excitations of impurities with different types (stiffness, size or mass) solved in... 
Molecular dynamics | 1D lattice | Energy localization | Impurity | impurity | SOLITARY WAVE | SOLITONS | PHYSICS, MULTIDISCIPLINARY | energy localization | molecular dynamics | DIATOMIC TODA LATTICE | THERMAL-CONDUCTIVITY | ACTIVATION PROCESSES
Journal Article
Pramana, ISSN 0304-4289, 03/1977, Volume 8, Issue 3, pp. 255 - 265
Journal Article
by P. Dean
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, ISSN 1364-5021, 02/1961, Volume 260, Issue 1301, pp. 263 - 272
This paper contains the results of spectral computations on disordered diatomic chains in which the proportion of light to heavy atoms is varied. Peaks which... 
Histograms | Impurities | Spectral bands | Mass ratio | Atoms | Mass spectroscopy | Visible spectrum | Archipelagos | Line spectra | Vibrational spectra
Journal Article
Pramana, ISSN 0304-4289, 08/1976, Volume 7, Issue 2, pp. 102 - 112
Journal Article
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