It takes the average reader 7 hours and 21 minutes to read The Langevin Equation by W T Coffey
Assuming a reading speed of 250 words per minute. Learn more
The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation — Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem — Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes. As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint — Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) — together with modern applications particularly to relaxation in ferrofluids and polar dielectrics. Contents:Historical Background and Introductory ConceptsLangevin Equations and Methods of SolutionThe Brownian Motion of a Free Particle and a Harmonic OscillatorThe Itinerant Oscillator ModelTwo-Dimensional Rotational Brownian Motion in N-Fold Cosine PotentialsThe Brownian Motion in a Tilted Cosine Potential: Application to the Josephson Tunnelling JunctionThree-Dimensional Rotational Brownian Motion in an External Potential with Application to the Theory of Dielectric and Magnetic RelaxationRotational Brownian Motion in an External Potential — Matrix Continued Fraction SolutionNumerical Solutions for Non-Axially Symmetric ProblemsInertial Langevin Equations: Application to the Theory of Dielectric and Kerr-Effect RelaxationLinear Response Theory and the Fokker-Planck Operator Readership: Physicists, chemists, electrical engineers, statisticians and undergraduates. keywords:Langevin Equation;FokkerâPlanck Equation;relaxation and Stochastic Processes;Rotational Diffusion;Diffusion in a Potential;Kramers' Theory;Linear and Nonlinear Response Theory;Dielectric Relaxation;Superparamagnetism;Josephson Effect “I found this book a valuable addition to my library. It will be of interest to researchers and advanced students and the material could be used as the text for a course for advanced undergraduates and graduate students.” Journal of Statistical Physics
The Langevin Equation by W T Coffey is 428 pages long, and a total of 110,424 words.
This makes it 144% the length of the average book. It also has 135% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 10 hours and 3 minutes to read The Langevin Equation aloud.
The Langevin Equation is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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