Kinetics and Thermodynamics of Fast Particles in Solids: 1st Edition (Hardback) book cover

Kinetics and Thermodynamics of Fast Particles in Solids

1st Edition

By Yurii Kashlev

CRC Press

296 pages | 37 B/W Illus.

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Hardback: 9781466580091
pub: 2012-10-11
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Kinetics and Thermodynamics of Fast Particles in Solids examines the kinetics and non-equilibrium statistical thermodynamics of fast charged particles moving in crystals in different modes. It follows a line of research very different from traditional ways of constructing a theory of radiation effects, which gives a purely mechanistic interpretation of particle motion. In contrast, this book takes into account the thermodynamic forces due to separation of the thermodynamic parameters of the subsystem of particles ("hot" atoms) on the parameters of the thermostat (electrons and lattice), in addition to covering the various mechanisms of collisions.

Topics Include:

  • Construction of a local kinetic equation of Boltzmann type for fast particles interacting with the conduction electrons and lattice vibrations, on the basis of the principles of Bogolyubov’s kinetic theory
  • Calculation of the equilibrium energy and angular distributions of fast particles at a depth of the order of coherence length, and the evolution of particle distribution with increasing depth of penetration of the beam
  • Calculation of transverse quasi-temperature of channeled particles with the heating of the beam in the process of diffusion of particles in the space of transverse energies, as well as cooling the beam through a dissipative process
  • Research in the framework of non-equilibrium thermodynamics of the relaxation kinetics of random particles, including the thermodynamics of positronium atoms moving in insulators under laser irradiation
  • Analysis of the kinetics of hot carriers in semiconductors and thermalization of hot carriers, as well as the calculation of the statistical distribution of ejected atoms formed during the displacement cascade

The book sets a new direction of the theory of radiation effects in solids—non-equilibrium statistical thermodynamics of fast particles—and aims to focus and aid the reader in the study of new areas of investigation in this area.

Table of Contents

Theoretical Background and Model Presentation

Two theoretical disciplines: non-equilibrium statistical mechanics and non-equilibrium statistical thermodynamics

Short description of the non-equilibrium system

Channeling effect of charged particles

Channeling of Charged High-Energy Particles as a Stochastic Process

Markov process with a normal (Gaussian) distribution

Transport coefficients of channeled particles in electron scattering (non-local theory)

Kinetic features of channeled particles in the presence of thermal lattice vibrations (local theory)


Three modes of motion of fast particles

Local Boltzmann Kinetic Equation as Applied to Plane and Axial Channeling

The distribution function for the complex of a fast particle and r atoms in the crystal

The chain of BBGKY equations in channeling theory

Local linearized Boltzmann equation

The equation of local balance of the number of particles in the channeling problem

Diagonal element of the matrix of effects in electron scattering

Features of the kinetic functions as a consequence of locality of the theory

Transition to the kinetic Boltzmann equation in the theory of rarefied gases

Two Classes of Irreversible Processes in Statistical Theory of Channeling

Phase mixing and dissipative processes

Phase mixing at shallow depths of penetration (S-contributions)

The linear theory of reaction

Non-Equilibrium Statistical Thermo-Dynamics as Applied to Channeling

General view of the statistical operator for non-equilibrium systems

Non-equilibrium statistical operator in quantum theory of channeling

Definitions of the quantum theory of dechanneling

Fokker–Planck–Kolmogorov finite difference equation

The statistical coefficient of dechanneling rate

The rate of release of particles from the channeling regime, taking into account the spatial separation of directional beam

Non-Equilibrium Statistical Thermodynamics of Directional Particle Beams Concept of Transverse Quasi-Temperature

Formulation of the theory based on expansion of the non-equilibrium statistical operator

The energy–momentum balance equation in the comoving coordinate system

Linearization of the balance equation

The solution of the balance equation

The dependence of equilibrium distributions on transverse quasi-temperature (axial channel)

Determination of magnitude of transverse quasi-temperature of channeled particles based on experimental data

Quasi-temperature of strongly non-equilibrium systems

Comparative analysis: channeled particles and the spin gas

Non-Equilibrium Thermodynamics of Chaotic Particles

Relaxation kinetics and quasi-temperature of positronium atoms

Quasi-temperature of subsystem of knocked-on atoms in displacement cascade

Statistical Thermodynamics of Light Atoms Moving with Thermal Velocity

Coefficient (constant) of the exit velocity of particles from the potential minimum

Coefficient (constant) of rate of hydrogen atom discharge from potential minimum due to above-barrier jumps in fcc metal

Tunneling transitions of hydrogen atoms due to the collapse of local deformation in the bcc lattice

Thermally activated tunneling in bcc metals

Concluding remarks on the migration of hydrogen atoms

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Chemistry / Physical & Theoretical
SCIENCE / Mechanics / Dynamics / Thermodynamics
SCIENCE / Solid State Physics