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Continuous Media with Microstructure
  • Language: en
  • Pages: 384

Continuous Media with Microstructure

This book discusses the extension of classical continuum models. To the first class addressed belong various thermodynamic models of multicomponent systems, and to the second class belong primarily microstructures created by phase transformations.

Solitons in Quantum Heisenberg Chain
  • Language: en
  • Pages: 10

Solitons in Quantum Heisenberg Chain

  • Type: Book
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  • Published: 1980
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  • Publisher: Unknown

None

Surface Diffusion
  • Language: en
  • Pages: 701

Surface Diffusion

The interest in the problem of surface diffusion has been steadily growing over the last fifteen years. This is clearly evident from the increase in the number of papers dealing with the problem, the development of new experimental techniques, and the specialized sessions focusing on diffusion in national and international meetings. Part of the driving force behind this increasing activity is our recently acquired ability to observe and possibly control atomic scale phenomena. It is now possible to look selectively at individual atomistic processes and to determine their relative importance during growth and reactions at surfaces. The number of researchers interested in this problem also has...

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems
  • Language: en
  • Pages: 90

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems

Let $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.

Computational Physics: Proceedings Of The Cp90 International Conference
  • Language: en
  • Pages: 575

Computational Physics: Proceedings Of The Cp90 International Conference

  • Type: Book
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  • Published: 1991-04-30
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  • Publisher: #N/A

The invited talks include applications from the fields of solid state physics, plasma physics, hydrodynamics, high-energy physics, thermodymanics, atomic and molecular physics, chemistry, statistical physics, earth sciences, neural networks, meteorology, astrophysics, and presentations on cellular automata and quantum Monte Carlo methods. The emphasis is on methods of software development and engineering, graphic tools, and storage of physical data.

Scientific and Technical Aerospace Reports
  • Language: en
  • Pages: 742

Scientific and Technical Aerospace Reports

  • Type: Book
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  • Published: 1976
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  • Publisher: Unknown

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Instability of the Finite Amplitude Spin Wave in the Continuous Heisenberg Chain
  • Language: en
  • Pages: 5

Instability of the Finite Amplitude Spin Wave in the Continuous Heisenberg Chain

  • Type: Book
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  • Published: 1979
  • -
  • Publisher: Unknown

None

Magnetic Solitons and Elastic Kink - Like Excitations in Compressible Heisenberg Chain
  • Language: en
  • Pages: 5