7
Перколяция в конечной полосе для гиббсовских решеточных моделей
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ɱɚɫɬɢ ɫɬɪɟɦɢɬɫɹ ɤ ɧɭɥɸ ɩɪɢ
n
ĺ
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Ⱦɨɤɚɡɚɬɟɥɶɫɬɜɨ ɬɟɨɪɟɦɵ 4
. Ȼɭɞɟɦ ɫɱɢɬɚɬɶ, ɱɬɨ ɨɛɴɟɦ
/
n
ɫɨɫɬɚɜɥɟɧ ɢɡ ɨɞɢɧɚɤɨɜɵɯ ɩɨ ɪɚɡɦɟɪɚɦ ɩɨɞɨɛɴɟɦɨɜ
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v
> 1 ɢ ɡɚɜɢɫɢ-
ɦɨɝɨ ɩɨɥɹ ɦɨɠɟɬ ɛɵɬɶ ɢɫɫɥɟɞɨɜɚɧ ɚɧɚɥɨɝɢɱɧɨ.
]
n,i
— ɤɨɥɢɱɟɫɬɜɨ
ɤɨɧɬɭɪɨɜ ɩɪɨɬɟɤɚɧɢɹ ɜ ɨɛɴɟɦɟ
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ɤɨɥɢɱɟɫɬɜɨ ɤɨɧɬɭɪɨɜ ɧɟɡɚɜɢɫɢɦɨ, ɢ ɨɧɢ ɨɞɢɧɚɤɨɜɨ ɪɚɫɩɪɟɞɟɥɟɧɵ.
Ⱦɥɹ ɞɨɤɚɡɚɬɟɥɶɫɬɜɚ ɧɚɦ ɞɨɫɬɚɬɨɱɧɨ ɧɚɣɬɢ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɶ
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of
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ɬɚɤɭɸ, ɱɬɨ ɜɵɩɨɥɧɟɧɵ ɭɫɥɨɜɢɹ ɚ), ɛ), ɜ), ɨɩɪɟɞɟɥɟɧɧɵɟ ɩɪɢ
ɞɨɤɚɡɚɬɟɥɶɫɬɜɟ ɬɟɨɪɟɦɵ 3.
Ʌɟɦɦɚ 2
. Ⱦɥɹ ɥɸɛɨɝɨ
N
0 ɫɭɳɟɫɬɜɭɟɬ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɶ
ɨɛɴɟɦɨɜ
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