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Langevin Equation, The: With Applications To Stochastic Problems In Physics, Chemistry And Electrical Engineering (Fourth Edition) (Hardcover, 4th Revised edition)
Loot Price: R8,850
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Langevin Equation, The: With Applications To Stochastic Problems In Physics, Chemistry And Electrical Engineering (Fourth Edition) (Hardcover, 4th Revised edition)
Series: World Scientific Series In Contemporary Chemical Physics, 28
Expected to ship within 12 - 17 working days
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Our original objective in writing this book was to demonstrate how
the concept of the equation of motion of a Brownian particle - the
Langevin equation or Newtonian-like evolution equation of the
random phase space variables describing the motion - first
formulated by Langevin in 1908 - so making him inter alia the
founder of the subject of stochastic differential equations, may be
extended to solve the nonlinear problems arising from the Brownian
motion in a potential. Such problems appear under various guises in
many diverse applications in physics, chemistry, biology,
electrical engineering, etc. However, they have been invariably
treated (following the original approach of Einstein and
Smoluchowski) via the Fokker-Planck equation for the evolution of
the probability density function in phase space. Thus the more
simple direct dynamical approach of Langevin which we use and
extend here, has been virtually ignored as far as the Brownian
motion in a potential is concerned. In addition two other
considerations have driven us to write this new edition of The
Langevin Equation. First, more than five years have elapsed since
the publication of the third edition and following many suggestions
and comments of our colleagues and other interested readers, it
became increasingly evident to us that the book should be revised
in order to give a better presentation of the contents. In
particular, several chapters appearing in the third edition have
been rewritten so as to provide a more direct appeal to the
particular community involved and at the same time to emphasize via
a synergetic approach how seemingly unrelated physical problems all
involving random noise may be described using virtually identical
mathematical methods. Secondly, in that period many new and
exciting developments have occurred in the application of the
Langevin equation to Brownian motion. Consequently, in order to
accommodate all these, a very large amount of new material has been
added so as to present a comprehensive overview of the subject.
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