Nonlinear effects in model lattices of metals : solitons, discrete breathers, quasi-breathers, shock waves / Mikhail D. Starostenkov [and three others].

Format:

Book

Author/Creator:

Starostenkov, M. D. (Mikhail Dmitrievich), author.

Series:

Materials research foundations ; v. 156.

Materials Research Foundations Series ; v.156

Language:

English

Subjects (All):

Nonlinear waves.

Physical Description:

1 online resource (129 pages)

Edition:

1st ed.

Place of Publication:

Millersville : Materials Research Forum LLC, [2024]

Summary:

The book presents an overview of nonlinear effects arising in discrete lattices of metals.

Contents:

Intro

Table of Contents

Preface

Introduction

Chapter 1. Nonlinear Dynamics and Modeling

1.1 Soliton-type waves and supersonic waves in crystals

1.2 Method of molecular dynamics and first-principles calculations in the study of soliton-type waves

Chapter 2. Discrete breathers in a Pt3Al crystal

2.1 Discrete breathers with soft nonlinearity in 3D and 2D Pt3Al models with Morse pair potential

2.2 Discrete breathers with a hard type of nonlinearity in a 3D model of Pt3Al

2.3 Interaction of a discrete breather with a hard type of nonlinearity with a vacancy

2.4 The influence of deformation on the characteristics of DBs with soft and hard types of nonlinearity

2.5 Excitation of discrete breathers under intense external actions in A3B crystals

2.6 Discrete breathers near the surface of a Pt3Al crystal model with an EAM potential

2.7 On the possibility of the existence of discrete breathers based on the quantum mechanical model of the Pt3Al crystal

Chapter 3. Discrete breathers in CuAu and CuPt7 crystals

3.1 Search for discrete breathers in a CuAu crystal

3.2 Dynamics of a discrete breather with a hard type of nonlinearity in a CuAu crystal

3.3 High-amplitude excitations of the CuPt7 crystal lattice

Chapter 4. A statistical approach to the analysis of discrete breathers

4.1 Quasi-breathers in Pt3Al

4.2 Statistical analysis of the stability of discrete breathers in monatomic crystals

4.3 Statistical characteristics of a quasi-breather with a hard type of nonlinearity in a CuAu crystal and monoatomic Cu and Au

Chapter 5. Solitary waves in FCC crystals

5.1 Supra-transmission effect in biatomic crystals of stoichiometry A3B

5.2 Solitary waves in biatomic crystals of stoichiometry A3B

Chapter 6. Post-cascade shock waves in fcc crystals.

6.1 Effect of shock waves on structural changes occurring in the depleted zone of a crystal

6.2 The process of healing pores under the influence of shock waves

Conclusion

Acknowledgments

References.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Starostenkov Nonlinear Effects in Model Lattices of Metals

ISBN:

1-64490-289-3

OCLC:

1417197329