Free Energy and Self-Interacting Particles

Description

This book examines a nonlinear system of parabolic partial differential equations (PDEs) arising in mathematical biology and statistical mechanics. In the context of biology, the system typically describes the chemotactic feature of cellular slime molds. One way of deriving these equations is via the random motion of a particle in a cellular automaton. In statistical mechanics, on the other hand, the system is associated with the motion of the mean field of self-interacting particles under gravitational force.

Physically, such a system is related to Langevin, FokkerPlanck, Liouville and gradient flow equations, which involve the issues of free energy and the second law of thermodynamics. Mathematically, the mechanism can be referred to as a quantized blowup. Actually, it is regarded as a nonlinear theory of quantum mechanics, and it comes from the mass and location quantization of the singular limit for the associated nonlinear eigenvalue problems. This book describes the whole picture, i.e., the mathematical and physical principles: derivation of a series of equations, biological modeling based on biased random walks, the study of equilibrium states via the variational structure derived from the free energy, and the quantized blowup mechanism based on several PDE techniques.

Free Energy and Self-Interacting Particles is suitable for researchers and graduate students of mathematics and applied mathematics who are interested in nonlinear PDEs in stochastic processes, cellular automatons, variational methods, and their applications to natural sciences. It is also suitable for researchers in other fields such as physics, chemistry, biology, and engineering.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Free Energy and Self-Interacting Particles" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 1543
2. The High Energy Solar Corona: Waves, Eruptions, Particles
3. Kinematical Theory of Spinning Particles: Classical and Quantum Mechanical Formalism of Elementary Particles
4. Quest for Zero Point Energy Engineering Principles for Free Energy (Reupload)
5. [share_ebook] Quest for Zero Point Energy Engineering Principles for Free Energy
6. Quest for Zero Point Energy Engineering Principles for Free Energy (repost)
7. The Energy Evolution - Harnessing Free Energy from Nature
8. The Energy Evolution - Harnessing Free Energy from Nature
9. Free Energy PDF - Radiant Energy
10. Magnetic Energy - Free Energy (PDF)
11. Energy Management, Free Energy Management Magazine Subscription
12. Energy Management, Free Energy Management Magazine Subscription
13. Energy Management, Free Energy Management Magazine Subscription
14. Energy Management, Free Energy Management Magazine Subscription
15. Interacting Electrons in Nanostructures
16. Bosonization of Interacting Fermions in Arbitrary ...