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Preisach Models

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Book cover Hysteresis Phenomena in Biology

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSMATHMETH))

Abstract

This chapter intends to familiarize the readers with the Preisach model of hysteresis. Since its publication in the 1930s of the last century (Preisach 1935), the model has been further developed and improved and many valuable facts have been accumulated (Everett and Whitton 1952; Everett 1954, 1955; Enderby 1956; Biorci and Pescetti 1958, 1959, 1966; Brown 1962; Bate 1962; Woodward and Della Torre 1960; Della Torre 1965; Damlanian and Visintin 1983; Visintin 1984; Barker et al. 1985; Brokate and Visintin 1989; Krasnosel’skii and Pokrovskii 1989). Here, no attempt of a complete presentation of the theory is made. Instead, we focus on a systematic introduction of the basic but essential concepts of Preisach model of hysteresis, which will help the reader to easily access this complex mathematical theory and prepare him/her for mathematical modeling of biological processes expressing non-linearities of hysteresis type.

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References

  • Barker JA, Schreiber DE, Huth BG, Everett DH (1985) Magnetic hysteresis and minor loops—models and experiments. Proc R Soc London A 386:251–261

    Article  Google Scholar 

  • Bate G (1962) Statistical stability of preisach diagram for particles of \(\gamma \)-\(Fe_2O_3\). J Appl Phys 33:2263–2269

    Article  Google Scholar 

  • Biorci G, Pescetti D (1958) Analytic theory of the behaviour of ferromagnetic materials. Nuovo Cinento 7:829–842

    Article  Google Scholar 

  • Biorci G, Pescetti D (1959) Some consequences of the analytical theory of the ferromagnetic hysteresis. J Phys Radium 20:233–236

    Article  Google Scholar 

  • Biorci G, Pescetti D (1966) Some remarks on hysteresis. J Appl Phys 37:425–427

    Article  Google Scholar 

  • Brokate M, Visintin A (1989) Properties of the preisach model for hysteresis. J Reine Angew Math 402:1–40

    MathSciNet  MATH  Google Scholar 

  • Brown WF Jr (1962) Failure of local-field concept for hysteresis calculations. J Appl Phys 33:1308–1309

    Article  Google Scholar 

  • Damlanian A, Visintin A (1983) A multidimensional generalization of the Preisach model for hysteresis. Compt Rend Acad Sci Paris 297:437–440

    Google Scholar 

  • Torre Della E (1965) Measurements of interaction in an assembly of \(\gamma \)?iron oxide particles. J Appl Phys 36:518–522

    Google Scholar 

  • Enderby JA (1956) The domain of hysteresis. 2. Interacting domains. Trans Faraday Soc 52:106–120

    Article  Google Scholar 

  • Everett DH (1954) A general approach to hysteresis. 3. A formal treatment of the independent domain model. Trans Faraday Soc 50:1071–1096

    Google Scholar 

  • Everett DH (1955) A general approach to hysteresis. 4. An alternative formulation of the domain model. Trans Faraday Soc 51:1551–1557

    Article  Google Scholar 

  • Everett DH, Whitton WI (1952) A general approach to hysteresis. Trans Faraday Soc 48:749–757

    Article  Google Scholar 

  • Krasnosel’skii MA, Pokrovskii AV (1989) Systems with hysteresis. Springer, Heidelberg

    Book  MATH  Google Scholar 

  • Mayergoyz ID (1986) Mathematical models of hysteresis. IEEE Trans Magn 22:603–608

    Google Scholar 

  • Mayergoyz ID (2003) Mathematical models of hysteresis and their applications. Elsevier, New York

    Google Scholar 

  • Preisach F (1935) Ăśber die magnetische Nachwirkung. Z Phys 94:277–302

    Article  Google Scholar 

  • Shirley ME, Venkataraman R (2003) On the identication of preisach measures. Proc SPIE 5049, 326–336

    Google Scholar 

  • Visintin A (1984) On the Preisach model for hysteresis. Nonlinear Anal 8:977–996

    Article  MathSciNet  MATH  Google Scholar 

  • Woodward JG, Della Torre E (1960) Particle interaction in magnetic recording tapes. J Appl Phys 31:56–62

    Article  Google Scholar 

Download references

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Correspondence to Hamid Reza Noori .

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Noori, H.R. (2014). Preisach Models. In: Hysteresis Phenomena in Biology. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38218-5_3

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