This book presents a short, fairly simple course on the basic theory of phase transitions and its modern applications. In physics, these applications include such modern developments as Bose-Einstein condensation of atoms, high temperature superconductivity, and vortices in superconductors, while in other fields they include small world phenomena and scale-free systems (such as stock markets and the Internet). The advantage of treating all these topics together lies in showing their connection with one another and with the general theory of phase transitions.

PHASE TRANSITIONS: A BRIEF ACCOUNT WITH MODERN APPLICATIONS

Science & Math

Gitterman, Moshe

Halpern

Chemistry

World Scientific Publishing Company

This book contains comprehensive descriptions of stochastic processes described by underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is associated with random frequency or random damping. The coverage includes descriptions of various new phenomena discovered in the last hundred years since the explanation of Brownian motion by Einstein, Smoluchovski and Langevin, such as the shift of stable points, noise-enhanced stability, stochastic resonance, resonant activation, and stabilization of metastable states. In addition to many applications in physics, chemistry, biology, medicine, economics and sociology, these discoveries have clarified the deep relationship between determinism and stochasticity, which turns out to be complimentary rather than contradictory, with noise playing both constructive and destructive roles.

NOISY OSCILLATOR, THE: THE FIRST HUNDRED YEARS, FROM EINSTEIN UNTIL NOW

Mathematics

Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces. No preliminary knowledge, such as complex mathematical or numerical methods, is required from a reader other than undergraduate courses in mathematical physics. A wide group of researchers, along with students and teachers will, thus, benefit from this definitive book on nonlinear dynamics.

CHAOTIC PENDULUM, THE

Physics

This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions i.e. the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reaction and moving systems. The book covers a close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.

PHASE TRANSITIONS: MODERN APPLICATIONS (2ND EDITION)

See the best price to sell, buy, or rent books by Gitterman, Moshe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Gitterman, Moshe

See the best price to sell, buy, or rent books by Gitterman, Moshe. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

PHASE TRANSITIONS: A BRIEF ACCOUNT WITH MODERN APPLICATIONS

NOISY OSCILLATOR, THE: THE FIRST HUNDRED YEARS, FROM EINSTEIN UNTIL NOW

CHAOTIC PENDULUM, THE

PHASE TRANSITIONS: MODERN APPLICATIONS (2ND EDITION)