Π§ΠΈΡΠ»Π΅Π½Π½ΠΎΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΏΠΈΠ½ΠΎΠ²ΡΡ ΡΠΈΡΡΠ΅ΠΌ Ρ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
P. J. Reynolds, H. Eugene Stanley and W. Klein, Percolation by position-space renormalisation group with large cells.- J.Phys.A, Vol. 11, Number 8, L199,(1978). B. N. Shalaev, Critical Behavior of the Two-Dimensional Ising Model with Random Bonds.-Physics Reports (Review Section of Physics Letters) 237 128 (1994). J.-K. Kim and A. Patrascioiu, Critical Behavior of the Specific Heat in the Two… Π§ΠΈΡΠ°ΡΡ Π΅ΡΡ >
Π§ΠΈΡΠ»Π΅Π½Π½ΠΎΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠΏΠΈΠ½ΠΎΠ²ΡΡ ΡΠΈΡΡΠ΅ΠΌ Ρ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ (ΡΠ΅ΡΠ΅ΡΠ°Ρ, ΠΊΡΡΡΠΎΠ²Π°Ρ, Π΄ΠΈΠΏΠ»ΠΎΠΌ, ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½Π°Ρ)
Π‘ΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΈΠ΅
- I. ΠΠ²Π΅Π΄Π΅Π½ΠΈΠ΅
- II. ΠΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΠΌΡΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΈ ΡΠΈΡΠ»Π΅Π½Π½ΡΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ
- I. ΠΠΎΠ΄Π΅Π»Ρ ΠΠ·ΠΈΠ½Π³Π° Π±Π΅Π· ΠΏΡΠΈΠΌΠ΅ΡΠ΅ΠΉ: ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΠΈ ΡΠ΅ΠΎΡΠΈΡ ΠΏΠΎΠ΄ΠΎΠ±ΠΈΡ
- II. ΠΠΎΠ΄Π΅Π»Ρ ΠΠ·ΠΈΠ½Π³Π° Ρ Π½Π΅ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- III. Π§ΠΈΡΠ»Π΅Π½Π½ΡΠ΅ ΠΌΠ΅ΡΠΎΠ΄Ρ Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΠ·ΠΈΠ½Π³Π°
- III. Π Π°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠΈΡΠ»Π° ΡΠ²ΡΠ·Π΅ΠΉ ΠΌΠ΅ΠΆΠ΄Ρ Π·Π°Π½ΡΡΡΠΌΠΈ ΡΠ·Π»Π°ΠΌΠΈ
- IV. Π Π°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠΈΡΠ»Π° ΡΠ²ΡΠ·Π΅ΠΉ ΠΌΠ΅ΠΆΠ΄Ρ Π·Π°Π½ΡΡΡΠΌΠΈ ΡΠ·Π»Π°ΠΌΠΈ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΏΠΎΡΠΎΠ±Π° ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΎΠ±ΡΠ°Π·ΡΠ°
- V. ΠΡΠ²ΠΎΠ΄ Ρ Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠΈΡΠ»Π° ΡΠ²ΡΠ·Π΅ΠΉ
- Π ΠΠ΄Π½ΠΎΠΌΠ΅ΡΠ½ΡΠΉ ΡΠ»ΡΡΠ°ΠΉ, ΡΠΏΠΎΡΠΎΠ± Ρ
- Π ΠΠ΄Π½ΠΎΠΌΠ΅ΡΠ½ΡΠΉ ΡΠ»ΡΡΠ°ΠΉ, ΡΠΏΠΎΡΠΎΠ± Ρ
- Π «ΒΏ-ΠΌΠ΅ΡΠ½ΡΠΉ ΡΠ»ΡΡΠ°ΠΉ, ΡΠΏΠΎΡΠΎΠ± Ρ
- Π (ΒΏ-ΠΌΠ΅ΡΠ½ΡΠΉ ΡΠ»ΡΡΠ°ΠΉ, ΡΠΏΠΎΡΠΎΠ± Π²
- VI. Π Π°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΈΠΈ Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΠ·ΠΈΠ½Π³Π° ΠΏΡΠΈ Π½ΡΠ»Π΅Π²ΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅
- VII. ΠΠ½Π°Π»ΠΈΠ· ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠΏΠΎΡΠΎΠ±ΠΎΠ² ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ²
- Π Π‘ΡΠ°Π²Π½Π΅Π½ΠΈΠ΅ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΉ ΡΠ΅ΡΠΌΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΈΡ Π²Π΅Π»ΠΈΡΠΈΠ½ Π΄Π»Ρ ΡΠ°Π·Π½ΡΡ ΡΠΏΠΎΡΠΎΠ±ΠΎΠ² ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΏΡΠΈΠΌΠ΅ΡΠ΅ΠΉ.'
- Π Π‘ΡΠ°Π²Π½Π΅Π½ΠΈΠ΅ Π½ΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΉ Π΄ΠΈΡΠΏΠ΅ΡΡΠΈΠΈ ΡΠ΅ΡΠΌΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΈΡ Π²Π΅Π»ΠΈΡΠΈΠ½ Π΄Π»Ρ ΡΠ°Π·Π½ΡΡ ΡΠΏΠΎΡΠΎΠ±ΠΎΠ² ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΏΡΠΈΠΌΠ΅ΡΠ΅ΠΉ
- VIII. Π‘Π°ΠΌΠΎΡΡΡΠ΅Π΄Π½Π΅Π½ΠΈΠ΅ Π² ΠΌΠΎΠ΄Π΅Π»ΡΡ Ρ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- Π ΠΡΠΈΡΠ΅ΡΠΈΠΉ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΡΠ°ΠΌΠΎΡΡΡΠ΅Π΄Π½Π΅Π½ΠΈΡ Π² ΠΌΠΎΠ΄Π΅Π»ΡΡ Ρ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- Π Π§ΠΈΡΠ»Π΅Π½Π½Π°Ρ ΠΏΡΠΎΠ²Π΅ΡΠΊΠ° Π½Π°Π»ΠΈΡΠΈΡ ΡΠ°ΠΌΠΎΡΡΡΠ΅Π΄Π½Π΅Π½ΠΈΡ Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΠ΅ΡΠΊΠΎΠ»ΡΡΠΈΠΈ ΠΏΠΎ ΡΠ·Π»Π°ΠΌ ΠΈ ΡΠ²ΡΠ·ΡΠΌ
- IV. ΠΠΎΠ΄Π΅Π»Ρ ΠΠ·ΠΈΠ½Π³Π° Ρ Π½Π΅ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- IX. Π’Π΅ΠΏΠ»ΠΎΠ΅ΠΌΠΊΠΎΡΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΠ·ΠΈΠ½Π³Π° Ρ Π½Π΅ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- X. ΠΠ°Π³Π½ΠΈΡΠ½Π°Ρ Π²ΠΎΡΠΏΡΠΈΠΈΠΌΡΠΈΠ²ΠΎΡΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΠ·ΠΈΠ½Π³Π° Ρ Π½Π΅ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ: ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠ»Π°ΡΡΠ° ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΡΡΠΈ
- Π ΠΠΎΠ²ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ
- 1. ΠΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠΉ Π²ΠΎΡΠΏΡΠΈΠΈΠΌΡΠΈΠ²ΠΎΡΡΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΠ·ΠΈΠ½Π³Π° Ρ Π½Π΅ΠΌΠ°Π³Π½ΠΈΡΠ½ΡΠΌΠΈ ΠΏΡΠΈΠΌΠ΅ΡΡΠΌΠΈ
- 2. ΠΠ½Π°Π»ΠΈΠ· ΡΡΡΠ΅ΡΡΠ²ΡΡΡΠΈΡ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ
- 3. ΠΠΎΠ²ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ
- Π Π‘ΠΈΡΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠ³ΡΠ΅ΡΠ½ΠΎΡΡΠΈ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ
- 1. Π§ΡΠ²ΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡ ΠΊ ΠΏΠΎΠ³ΡΠ΅ΡΠ½ΠΎΡΡΡΠΌ ΠΏΡΠΈ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠ°ΡΠΈΠΈ Π΄Π»Ρ Π½ΠΎΠ²ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π°
- 2. Π‘ΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠ³ΡΠ΅ΡΠ½ΠΎΡΡΠΈ
- Π Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠΈ ΡΠΈΡΠ»Π΅Π½Π½ΡΡ Π΄Π°Π½Π½ΡΡ
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