4 edition of **From Phase Transitions to Chaos** found in the catalog.

- 289 Want to read
- 6 Currently reading

Published
**May 1992**
by World Scientific Publishing Company
.

Written in English

- Chaos theory,
- Statistical Physics,
- Theoretical methods,
- Physics,
- Theoretical Physics,
- Science,
- Science/Mathematics,
- Chaotic behavior in systems,
- Phase transformations (Statist,
- Phase transformations (Statistical physics)

**Edition Notes**

Contributions | T. Tel (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 585 |

ID Numbers | |

Open Library | OL9193925M |

ISBN 10 | 981020938X |

ISBN 10 | 9789810209384 |

“Loonshots” and phase transitions are the key to innovation, physicist argues Ars chats with physicist and biotech guru Safi Bahcall about his book Loonshots. Jennifer Ouellette - Dec We study the dynamics of iterates at the transition to chaos in the logistic map and find that it is constituted by an infinite family of Mori's q-phase transitions. Starting from Feigenbaum's ξ function for the diameters ratio, we determine the atypical weak sensitivity to initial conditions ξt associated to each q-phase transition and find that it obeys the form suggested by the Author: E. Mayoral, A. Robledo.

Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions. Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying. Recently I've been puzzling over the definitions of first and second order phase transitions. The Wikipedia article starts by explaining that Ehrenfest's original definition was that a first-order transition exhibits a discontinuity in the first derivative of the free energy with respect to some thermodynamic parameter, whereas a second-order transition has a discontinuity in the second.

Assembling recent research and theories, this book describes the phase and state transitions that affect technological properties of biological materials occurring in food processing and storage. It covers the role of water as a plasticizer, the effect of transitions on mechanical and chemical changes, and the application of modeling in predicting stability rates of changes. Phase transitions are divided into two broad categories, named First-order phase transitions are those that involve a latent heat (e.g. melting of ice or the boiling of water) and Second-order.

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Buy From Phase Transitions to Chaos: Topics in Modern Statistical Physics on FREE SHIPPING on qualified orders From Phase Transitions to Chaos: Topics in Modern Statistical Physics: G Gyorgyi, I Kondor, L Sasvari, Tamas Tel: : Books.

This book is dedicated to Péter Szépfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality.

While phase transitions (and boundary value problems in general) are at the heart of most field and phase work at the cutting edge of complexity theory and dynamical systems research today, very few books have been written that are accessible to the educated but non professional mathematician reader/5(3).

Phase transitions are sometimes classified by their order 2. I will start my discussion with the first-order phase transitions that feature nonvanishing latent heat Λ—the amount of heat that is necessary to give one phase in order to turn it into another phase completely, even if.

The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian.

The second chapter studies the phase diagrams of lattice models. The physics of phase transitions is an important area at the crossroads of several fields that play central roles in materials sciences. In this second edition, new developments had been included which came up in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating.

Phase transition and chaos in charged SYK model Nilakash Sorokhaibam National Institute of Science Education and Research, HBNI, BhubaneswarOdisha, India E-mail: [email protected] Abstract: We study chaotic-integrable transition and the nature of quantum chaos in.

Assembling recent research and theories, this book describes the phase and state transitions that affect technological properties of biological materials occurring in food processing and storage.

It covers the role of water as a plasticizer, the effect of transitions on mechanical and chemical changes, and the application of modeling in. Phase Transitions in Foods, Second Edition, assembles the most recent research and theories on the topic, describing the phase and state transitions that affect technological properties of biological materials occurring in food processing and covers the role of water as a plasticizer, the effect of transitions on mechanical and chemical changes, and the application of modeling in.

He is a known authority in developing and applying glass transition concept in various food systems. He has authored one book Phase transitions in foods and two co-edited books. He has published more than papers including book chapters which are cited close to times ().Book Edition: 1.

study exhibits a quantum phase transition ~i.e., one at zero temperature @18#. in the thermodynamic limit of N!‘ at a critical value of the parameter, lc.

The inﬂuence of a quantum phase transition ~QPT. on the transition to chaos has been studied in a handful of cases. Important examples include the three-dimensional Anderson.

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.

Phase Transitions is a good read for the JASSS audience interested in if, how, and when abrupt changes may occur—either as risks for collapse or as opportunities for salvation." —Emile Chappin, Journal of Artificial Societies and Social Simulation.

A Modern Course in Statistical Physics is a textbook that illustrates the foundations of equilibrium and non-equilibrium statistical physics, and the universal nature of thermodynamic processes, from the point of view of contemporary research problems.

The book treats such diverse topics as the microscopic theory of critical phenomena, superfluid dynamics, quantum conductance, light. The term phase transition (or phase change) is most commonly used to describe transitions between solid, liquid, and gaseous states of matter, as well as plasma in rare cases.

A phase of a thermodynamic system and the states of matter have uniform physical a phase transition of a given medium, certain properties of the medium change, often discontinuously, as a result of the.

A phase transition may be defined as some smooth, small change in a quantitative input variable that results in a qualitative change in the system’s state. The transition of ice to steam is one.

Moreover, we find that chaos is driven by a density-dependent change of the fitness landscape from a stabilizing to disruptive state, and that this transition has hysteretic behavior with mathematical properties that are strongly reminiscent of a first-order phase transition in a thermodynamical by: 3.

Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas.

How might phase transitions shed light on important problems in biological and ecological complex systems?/5. Take one definition of phase transition: "A phase space of a dynamical system is the gathering of every single condition of the A decent introduction to systems thinking and chaos theory.

You'd need at least mastery of algebra to understand the sparse math in the book/5. The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.” (Vladimir Čadež, zbMATH, Vol.).

Phase transitions occur throughout nature. The most familiar example is the one that occurs in water – the abrupt, discontinuous transition from a liquid to a gas or a solid, induced by a subtle environmental change. Practically magical, the ever-so-slight shift of temperature or pressure can.phase transition line at G c ≈2 and the symmetry broken phase for G > G c.

W e conﬁrmed this value in our Monte Carlo simulations by studying both the Binder cumulant, a [email protected]{osti_, title = {Transition to chaos by interaction of resonances in dissipative systems.

I. Circle maps}, author = {Jensen, M H and Bak, P and Bohr, T}, abstractNote = {Dissipative dynamical systems with two competing frequencies exhibit transitions to chaos. We have investigated the transition through a study of discrete maps of the circle onto itself.