Domain Formation in Magnetic Polymer Composites: An Approach Via Stochastic Homogenization
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| 001 | 605515972 | ||
| 003 | CHVBK | ||
| 005 | 20210128100712.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0873-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0873-y | ||
| 245 | 0 | 0 | |a Domain Formation in Magnetic Polymer Composites: An Approach Via Stochastic Homogenization |h [Elektronische Daten] |c [Roberto Alicandro, Marco Cicalese, Matthias Ruf] |
| 520 | 3 | |a We study the magnetic energy of magnetic polymer composite materials as the average distance between magnetic particles vanishes. We model the position of these particles in the polymeric matrix as a stochastic lattice scaled by a small parameter ɛ and the magnets as classical $${\pm 1}$$ ± 1 spin variables interacting via an Ising type energy. Under surface scaling of the energy we prove, in terms of Γ-convergence, that, up to subsequences, the (continuum) Γ-limit of these energies is finite on the set of Caccioppoli partitions representing the magnetic Weiss domains where it has a local integral structure. Assuming stationarity of the stochastic lattice, we can make use of ergodic theory to further show that the Γ-limit exists and that the integrand is given by an asymptotic homogenization formula which becomes deterministic if the lattice is ergodic. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Alicandro |D Roberto |u DIEI, Università di Cassino e del Lazio meridionale, via Di Biasio 43, 03043, Cassino (FR), Italy |4 aut | |
| 700 | 1 | |a Cicalese |D Marco |u Zentrum Mathematik-M7, Technische Universität München, Boltzmannstrasse 3, 85748, Garching, Germany |4 aut | |
| 700 | 1 | |a Ruf |D Matthias |u Zentrum Mathematik-M7, Technische Universität München, Boltzmannstrasse 3, 85748, Garching, Germany |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/2(2015-11-01), 945-984 |x 0003-9527 |q 218:2<945 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0873-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0873-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Alicandro |D Roberto |u DIEI, Università di Cassino e del Lazio meridionale, via Di Biasio 43, 03043, Cassino (FR), Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cicalese |D Marco |u Zentrum Mathematik-M7, Technische Universität München, Boltzmannstrasse 3, 85748, Garching, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ruf |D Matthias |u Zentrum Mathematik-M7, Technische Universität München, Boltzmannstrasse 3, 85748, Garching, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/2(2015-11-01), 945-984 |x 0003-9527 |q 218:2<945 |1 2015 |2 218 |o 205 | ||