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Scale Invariance - From Phase Transitions to Turbulence (Hardcover, 2012)
Loot Price: R2,199
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Scale Invariance - From Phase Transitions to Turbulence (Hardcover, 2012)
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During a century, from the Van der Waals mean field description
(1874) of gases to the introduction of renormalization group (RG
techniques 1970), thermodynamics and statistical physics were just
unable to account for the incredible universality which was
observed in numerous critical phenomena. The great success of RG
techniques is not only to solve perfectly this challenge of
critical behaviour in thermal transitions but to introduce
extremely useful tools in a wide field of daily situations where a
system exhibits scale invariance. The introduction of scaling,
scale invariance and universality concepts has been a significant
turn in modern physics and more generally in natural sciences.
Since then, a new "physics of scaling laws and critical exponents",
rooted in scaling approaches, allows quantitative descriptions of
numerous phenomena, ranging from phase transitions to earthquakes,
polymer conformations, heartbeat rhythm, diffusion, interface
growth and roughening, DNA sequence, dynamical systems, chaos and
turbulence. The chapters are jointly written by an experimentalist
and a theorist. This book aims at a pedagogical overview, offering
to the students and researchers a thorough conceptual background
and a simple account of a wide range of applications. It presents a
complete tour of both the formal advances and experimental results
associated with the notion of scaling, in physics, chemistry and
biology.
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