ANALYSIS OF STATISTICAL CHARACTERISTICS OF QUASIBREATHER IN MONOATOMIC FCC METALS Au, Cu, Ni, Pd AND Pt

Abstract

The molecular dynamics method is used to calculate and analyze the statistical characteristics of a quasi-breather with a hard type of nonlinearity in monoatomic FCC metals, for example, Cu, Au, Pt, Ni and Pd. Within the framework of this model, the following statistical characteristics and dependencies were calculated for quasi-breathers: a grouped statistical series of absolute and relative frequencies, a polygon of absolute and relative frequencies, a histogram of relative frequencies, an empirical distribution function, an estimate of the mathematical expectation and variance of the original sample. The densities of phonon states are calculated for all crystals. Statistics allow you to understand the causes of the destruction of breathers and more fully describe the process of their dissipation of energy.

Keywords

• crystal
• quasi-breather
• discrete breather
• nonlinear dynamics
• soliton
• molecular dynamics.