Magnetic Domains

Schäfer, Rudolf

doi:10.1007/978-3-030-63101-7_8-1

Cited by 4 publications

(2 citation statements)

References 31 publications

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“…Again, we are interested in the probability of the new phase domain located in the 2vdt interval, which is equal to [g(x − x′)/N(t)]2vdt = 2vexp(2vIt)g(x − x′)dt. Summation of all such events leads to the third term on the right-hand side of equation (3). And also to the fourth term, if we take into account in this summation the presence of the above-mentioned singular contrib ution of the initial edge domains that did not undergo collisions.…”

Section: Statistical Description Of the Propagation Of The Switching ...mentioning

confidence: 99%

“…The propagation of the state switching front is an important component of the processes of restructuring of systems of dierent natures [1]. The most studied cases are the motion of domain walls at phase transformations in metals and alloys [2] and in magnetic materials [3,4]. As a few other illustrative examples the crystallization processes [5,6], the melting of extended biological macromolecules [7,8], the motion of kinks and topological solitons [9][10][11][12][13], etc, can be mentioned.…”

Section: Introductionmentioning

confidence: 99%

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Statistics of the front of state switching propagation in a 1D nanosystem with the multiple nucleation of new phase domains on randomly distributed active centers formed by local defects

Petukhov¹

2019

J. Stat. Mech.

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State switching processes play an important role in the control of nanodevices and properties of many quasi-1D objects in physics, chemistry and biology. The switching a metastable state into an energetically preferable state in extended systems often occurs through the nucleation and extension of domain of the new phase. In real systems new domains arise as a rule on defects or sample edges. Usually considered limit cases are the propagation of the edge domain wall over the whole system or multiple nucleation and coalescence of domains in the volume of the material. This paper deals with the more general situation of front propagation of the switching state from the sample edge simultaneously with the multiple nucleation of the new phase domains on randomly located defects in the volume. The distinction of the considered model from a large number of close ones is the account of the combination of two factors: (1) the study of the propagation of the state switching front from the sample boundary in a semi-infinite system, and (2) a detailed statistical description of the front runs in the fluctuating medium in terms of distribution functions, that is, beyond the framework of the mean-field approach. The corresponding statistically-kinetic problem of 'the relay' run lengths of the state switching front is exactly solved with the calculation of the distributions of the PAPER: Classical statistical mechanics, equilibrium and non-equilibrium

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Section: Statistical Description Of the Propagation Of The Switching ...mentioning

confidence: 99%