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Monday, May 11, 2020 | History

8 edition of Topologically stable defects and solitons in ordered media found in the catalog.

Topologically stable defects and solitons in ordered media

by Vladimir P. Mineev

  • 115 Want to read
  • 34 Currently reading

Published by Harwood Academic Publishers in Amsterdam .
Written in English

    Subjects:
  • Superfluidity -- Mathematical models.,
  • Broken symmetry (Physics) -- Mathematical models.,
  • Homotopy groups.,
  • Condensed matter physics -- Mathematics.,
  • Condensed matter -- Defects -- Mathematical models.,
  • Solitons.,
  • Linear topological spaces, Ordered.,
  • Ordered topological spaces.,
  • Espaces vectoriels topologiques ordonnés,
  • Espaces topologiques ordonnés,
  • Solitons

  • Edition Notes

    Other titlesDefects and solitons in ordered media, Solitons in ordered media
    StatementV.P. Mineev.
    SeriesClassic reviews in physics,, v. 1
    Classifications
    LC ClassificationsQC175.4 .M56 1998
    The Physical Object
    Paginationxi, 79 p. :
    Number of Pages79
    ID Numbers
    Open LibraryOL3623152M
    ISBN 109057022729
    LC Control Number2002405123
    OCLC/WorldCa40911850

    Two New Topologically Ordered Glass Phases of Smectics Confined in Anisotropic Random Media 1 2 Leo Radzihovsky, 1 and John Toner. 2. 1. Department of Physics, University of Colorado, Boulder, Colorado 2. Department of Physics, Materials Science Institute, and Institute of Theoretical Science, University of Oregon, Eugene, Oregon Interlaced linear-nonlinear optical waveguide arrays Kyriakos Hizanidis, 1,* Yannis Kominis, 1 and Nikolaos K. Efremidis2 1 School of Electrical and Computer Engineering, National Technical University of Athens, Athens, Greece 2 Department of Applied Mathematics, University of Crete, Crete, Greece *Corresponding author: [email protected] Abstract: The system of coupled discrete.

      Topology in Ordered Phases (With CD-ROM) Proceedings of the 1st International Symposium on TOP, Sapporo, Japan The book serves as an excellent reference for both researchers and graduate students. Sample Chapter(s). Optical vortices are examples of the singularity lines within all complicated scalar fields. By comparison, electromagnetic vector fields do not generally have nodes in all components simultaneously. However, vector fields possess singularities associated with the parameterization of elliptical and partial polarization rather than by:

    Abstract: We demonstrate that two-dimensional two-component bright solitons of an annular shape, carrying vorticities (m,+/- m) in the components, may be stable in media with the cubic-quintic nonlinearity, including the hidden-vorticity (HV) solitons of the type (m,-m), whose net vorticity is zero. Smalyukh, Ivan Professor Positions. Professor, Physics; Reconfigurable interactions and three-dimensional patterning of colloidal particles and defects in lamellar soft media. bent core molecules forming strongly fluorescent smectic liquid crystals with spontaneous polar and chiral ordered B7 .


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Topologically stable defects and solitons in ordered media by Vladimir P. Mineev Download PDF EPUB FB2

Linear defects and planar solitons (domain walls) Point defects and linear solitons Relative homotopy groups Particle-like solitons Superfluidity and topology. Series Title: Classic reviews in physics, v. Other Titles: Defects and solitons in ordered media Solitons in ordered media: Responsibility: V.P.

Mineev. More. Formal classification. An ordered medium is defined as a region of space described by a function f(r) that assigns to every point in the region an order parameter, and the possible values of the order parameter space constitute an order parameter homotopy theory of defects uses the fundamental group of the order parameter space of a medium to discuss the existence, stability and.

Topologically Stable Defects and Solitons in Ordered Media 作者: V.P. Mineev 出版社: CRC Press 出版年: 定价: USD 装帧: Hardcover ISBN:   [6] V. Mineev, Topologically Stable Defects and Solitons in Ordered Media, Classic Reviews in Physics, (Book 1), (CRC Press, ) Google Scholar [7] N. Mermin, “The topological theory of defects in ordered media”, Rev.

Mod. Phys. 51, () Google Scholar. Homotopy theory is used to classify all topologically Topologically stable defects and solitons in ordered media book defects, and third homotopy group defect elements are considered to be generalized vortices that are available in superfluid ordered. V.P. Mineev, Topologically stable defects and solitons in ordered media, in Classic Reviews in Physics, vol.

1 (Harwood Academic Publishers, ) Google Scholar J. Rubinstein, J. Math. Phys. 11, – () ADS CrossRef Google ScholarAuthor: Hans-Benjamin Braun. Topological structures and defects, which were generally discussed in ordered media in the s [1,2], have currently attracted a great deal of attention from researchers in the fields of.

Please read our short guide how to send a book to Kindle. Save for later. You may be interested in. Most frequently terms. heat pressure steam liquid flow vapor evaporator heat transfer tube temperature process evaporation energy surface condensate Let (X, ≤) be a partially ordered set and T: X đ X a mapping.

Wesay that T is nondecreasing contractions in partially ordered metric Point Theory Appl. (), 11 ()6. Ciric, L, Samet, B, Vetro, C, Abbas, M: Fixed point results for weak contractive mappings in ordered.

Mineev V.P. Topologically stable defects and solitons in ordered media Harwood, 89 p. English djvu, KB KB/p. dpi OCR | File | Mermin N.D. Topological theory of defects in ordered media RMP 58 p. English djvu, KB KB/p. dpi OCR | File |   This paper is an extension of our previous investigation on the crossing of defects in ordered media.

We provide a general mathematical framework, in which the obstructions for crossing p‐dimensional defects with q‐dimensional defects in a (p+q+1) ‐dimensional sample are the brackets of a certain graded Lie algebra (connected with homotopy theory).Cited by: 6.

TOPOLOGICALLY STABLE DEFECTS AND SOLITONS IN ORDERED MEDIA V.P. Mineev Early • 80pp • Paperback- ISBN US$30 / £20 / ECU25 • Harwood Academic TRANSMISSION LINE MATRIX (TLM) TECHNIQUES FOR DIFFUSION APPLICATIONS Donard de Cogan Early • 2l4pp • Cloth • ISBN US$65 / £42 / ECU54 • Gordon and Breach.

Awards: price of Russian Academy of Sciences for topological classification of stable defects in ordered media, Occupation: Researcher () and Vice-director () of Institute for Theoretical Physics of Russian Academy of Sciences.

Higher groups, defects and textures 1 Introduction Methods of algebraic topology have now been successfully used in physics for over half a cen-tury.

One of the earliest uses of homotopy theory in physics was by Skyrme [1], who attempted to model the nucleon using solitons, or topologically stable eld con gurations, which are now called skyrmions.

Due to this structure, topologically nontrivial and thus topologically stable hedgehog-like field configurations exist (see Fig. 1) and can give rise to skyrmion and monopole structures in two and Cited by: 1.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them., Free ebooks since ElecTronIques, Interactions et Couplages non Conventionnels Feb Banyuls sur mer France.

applied topology to define topologically stable structures, also called topological solitons. Skyrmions are one instance of Toulouse, M.

Kléman, Principles of a classification of defects in ordered media, J. Physique Lett. 37, L This book describes the theory of such quantum numbers, starting with Dirac's argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, flux quantization and the Josephson effect in superconductors, the quantum Hall effect, solids and liquid crystals, and topological phase transitions.

Topological excitations and defects emerge and play a key role in almost any area of physics where spontaneous symmetry breaking occurs. Domain walls, besides being the necessary ingredients of magnetic recording media, also emerge in cosmology, string theory 1, and constitute basic quasiparticles in 1+1 dimensional field theories defects such as vortices belong today to our basic Cited by: 1.

Anomalies of a topologically ordered surface DeepnarayanBiswas 1, Sangeeta Thakur1, KhadizaAli1, Geetha Balakrishnan2 & KalobaranMaiti 1 Bulk insulators with strong spin orbit coupling exhibit metallic surface states possessing topological order protected by the time reversal symmetry.

However, experiments show vulnerability of. Amazon配送商品ならTopologically Stable Defects and Solitons in Ordered Media (Classic Reviews in Physics)が通常配送無料。更にAmazonならポイント還元本が多数。Mineev, V.P.作品ほか、お急ぎ便対象商品は当日お届けも可能。.that the topology is a partially ordered set with respect to set inclusion.

Therefore, if T is a topology for fl, it can be said that the ensemble 96 is topologically ordered. Further note that because ft is contained in the topology that the ordered pair (~2, T) is a topological space.

A.The paper also considers the effect of an electric field on other topological defects in magnetically ordered media, including Bloch lines and Bloch points at domain boundaries, magnetic vortices, and skyrmions.

are topologically stable solitons. 25,Book of Abstracts (Eds N Petrov et al.) (Moscow: Faculty of Physics.