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The main body of this book is devoted to statistical physics,
whereas much less emphasis is given to thermodynamics. In
particular, the idea is to present the most important outcomes of
thermodynamics - most notably, the laws of thermodynamics - as
conclusions from derivations in statistical physics. Special
emphasis is on subjects that are vital to engineering education.
These include, first of all, quantum statistics, like the
Fermi-Dirac distribution, as well as diffusion processes, both of
which are fundamental to a sound understanding of semiconductor
devices. Another important issue for electrical engineering
students is understanding of the mechanisms of noise generation and
stochastic dynamics in physical systems, most notably in electric
circuitry. Accordingly, the fluctuation-dissipation theorem of
statistical mechanics, which is the theoretical basis for
understanding thermal noise processes in systems, is presented from
a signals-and-systems point of view, in a way that is readily
accessible for engineering students and in relation with other
courses in the electrical engineering curriculum, like courses on
random processes.
The main body of this book is devoted to statistical physics,
whereas much less emphasis is given to thermodynamics. In
particular, the idea is to present the most important outcomes of
thermodynamics - most notably, the laws of thermodynamics - as
conclusions from derivations in statistical physics. Special
emphasis is on subjects that are vital to engineering education.
These include, first of all, quantum statistics, like the
Fermi-Dirac distribution, as well as diffusion processes, both of
which are fundamental to a sound understanding of semiconductor
devices. Another important issue for electrical engineering
students is understanding of the mechanisms of noise generation and
stochastic dynamics in physical systems, most notably in electric
circuitry. Accordingly, the fluctuation-dissipation theorem of
statistical mechanics, which is the theoretical basis for
understanding thermal noise processes in systems, is presented from
a signals-and-systems point of view, in a way that is readily
accessible for engineering students and in relation with other
courses in the electrical engineering curriculum, like courses on
random processes.
Statistical Physics and Information Theory focuses on some of the
relationships and the interplay between information theory and
statistical physics - a branch of physics that deals with
many-particle systems using probabilistic and statistical methods
in the microscopic level. The author interlaces the physics and the
information-theoretic subjects with each other, rather than giving
them in two continuous, separate parts. This makes the relations
between information theory and statistical physics more apparent.
He also shows that, not only are the relations between information
theory and statistical physics interesting academically in their
own right, but moreover, they prove useful and beneficial in that
they provide information-theorists with new insights and
mathematical tools to deal with information-theoretic problems.
These mathematical tools sometimes prove a lot more efficient than
traditional tools used in information theory, and they may give
either simpler expressions for performance analysis, or improved
bounds, or both. The author provides examples of the techniques and
insights. One example is the use of integrals in the complex plane
and the saddle-point method. Another example is the analysis
technique of error exponents, which stems from the random energy
model, along with its insights about phase transitions. Statistical
Physics and Information Theory highlights to the reader techniques
that have been used in one branch of science which can be applied
effectively in another. The point is that it is not the physics
itself that may be useful, it is the way in which physicists use
mathematical tools. This will bring new insights to all students
and researchers in the field of information theory and
communications.
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