Read Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering

Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering

Unknown Author

4.9/5 (20776 ratings)

Description: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 OperatorReadership: Physicists, chemists, electrical engineers, statisticians and undergraduates."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering. To get started finding Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: 430

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific Publishing Company

Release: 2014

ISBN: 1299662439

Description: 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 OperatorReadership: Physicists, chemists, electrical engineers, statisticians and undergraduates."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering. To get started finding Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering

Langevin Equation: With Applications in Physics, Chemistry and Electrical Engineering

More Books