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The properties of phase-separated systems, e.g., manganites close to a first-order phase transition between charge-ordered insulator and ferromagnetic metal, are usually described by percolation picture. We argue that the correlated occupation of metallic sites leads to the preferential formation of larger metallic clusters, and their size distribution depends on the thermal history. This can explain several puzzling effects in manganites, such as the often observed inverse, or ``overshot'' hysteresis, and the recently discovered thermal cycling effect. Thus in treating this and similar systems in percolation picture, not only the total concentration of metallic phase, but also the distribution of metallic clusters by shape and size may significantly influence the properties of the system and has to be taken into account.
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Khomskiǐ et al. (2003) studied this question.
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