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1
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85036228394
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S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984)
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S. R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984).
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19
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0000526768
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J. P. Sethna, K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts, and J. D. Shore, Phys. Rev. Lett. 70, 3347 (1993).
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(1993)
Phys. Rev. Lett.
, vol.70
, pp. 3347
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Sethna, J.P.1
Dahmen, K.2
Kartha, S.3
Krumhansl, J.A.4
Roberts, B.W.5
Shore, J.D.6
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22
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85036425283
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A possible way to give mathematical meaning to these considerations is to represent the action of (Formula presented) by a graph, where each point represents a certain strongly stable subinterval of (Formula presented) and the connecting arrows represent the various possible Barkhausen jumps from one subinterval to another. Examination of this graph permits one to identify the weakly stable and the weakly unstable portions of the generating function, and, on this basis, classify the various admissible jump structures relevant to hysteresis. The analysis of these aspects is in progress and will be the subject of a future paper
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A possible way to give mathematical meaning to these considerations is to represent the action of (Formula presented) by a graph, where each point represents a certain strongly stable subinterval of (Formula presented) and the connecting arrows represent the various possible Barkhausen jumps from one subinterval to another. Examination of this graph permits one to identify the weakly stable and the weakly unstable portions of the generating function, and, on this basis, classify the various admissible jump structures relevant to hysteresis. The analysis of these aspects is in progress and will be the subject of a future paper.
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24
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85036152949
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I. Guikhman and A. Skorokhod, Introduction à la Théorie des Processus Aléatoires (MIR, Moscow, 1980), Chap. II
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I. Guikhman and A. Skorokhod, Introduction à la Théorie des Processus Aléatoires (MIR, Moscow, 1980), Chap. II.
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25
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85036239594
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Each generating function must be continuous, so the strongly stable branches cannot be exactly vertical. However, one can carry out the entire analysis by introducing an arbitrarily large branch slope, eventually taking the limit of infinite slope in the final result. With this inessential complication in mind, we will simply speak of vertical branches
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Each generating function must be continuous, so the strongly stable branches cannot be exactly vertical. However, one can carry out the entire analysis by introducing an arbitrarily large branch slope, eventually taking the limit of infinite slope in the final result. With this inessential complication in mind, we will simply speak of vertical branches.
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