Condensed Matter / Cond-Mat.stat-Mech

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Multicanonical entropy like-solution of statistical temperature weighted histogram analysis method (ST-WHAM)

Multicanonical entropy like-solution of statistical temperature weighted histogram analysis method (ST-WHAM)

๋ณธ ๋…ผ๋ฌธ์€ ST WHAM (ํ†ต๊ณ„์  ์˜จ๋„ ๊ฐ€์ค‘ ํžˆ์Šคํ† ๊ทธ๋žจ ๋ถ„์„ ๋ฐฉ๋ฒ•)์— ์ค‘์ ์„ ๋‘๊ณ , ์ด ๋ฐฉ๋ฒ•์ด ๋ฏธ์„ธ๊ด€์„ฑ ์—”ํŠธ๋กœํ”ผ๋ฅผ ์ถ”์ •ํ•˜๋Š” ๋ฐ ์–ผ๋งˆ๋‚˜ ํšจ๊ณผ์ ์ธ์ง€๋ฅผ ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค. WHAM ๋ฐฉ์‹์˜ ํ•œ๊ณ„์™€ ST WHAM์˜ ๊ฐœ์„ ์ , ๊ทธ๋ฆฌ๊ณ  ์ด๋ฅผ ํ†ตํ•ด ์–ป์„ ์ˆ˜ ์žˆ๋Š” ์—ด์—ญํ•™์  ์ •๋ณด์˜ ์ค‘์š”์„ฑ์„ ๊ฐ•์กฐํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. WHAM๊ณผ ST WHAM์˜ ๋น„๊ต WHAM์€ ๋‹ค์–‘ํ•œ ์˜จ๋„์—์„œ ์ˆ˜ํ–‰๋œ ๋ชฌํ…Œ์นด๋ฅผ๋กœ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋ฐ์ดํ„ฐ๋ฅผ ๊ฒฐํ•ฉํ•˜์—ฌ ์ƒ˜ํ”Œ๋ง์„ ํ–ฅ์ƒ์‹œํ‚ค๋Š” ๋ฐฉ๋ฒ•์ž…๋‹ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜, ์ด ๋ฐฉ์‹์€ ๋ฐ˜๋ณต์ ์ธ ์ˆ˜์น˜ ๊ณผ์ •์„ ํ•„์š”๋กœ ํ•˜๋ฉฐ, ์ด๋ฅผ ํ†ตํ•ด ์—๋„ˆ์ง€ ๋ฐ์ดํ„ฐ๊ฐ€ ์ €์žฅ๋œ ํžˆ์Šคํ† ๊ทธ๋žจ์—์„œ ์ž์œ 

Analysis Physics Condensed Matter
Damage spreading in the sandpile model of SOC

Damage spreading in the sandpile model of SOC

๋ณธ ๋…ผ๋ฌธ์€ ๋ชจ๋ž˜๋”๋ฏธ ๋ชจ๋ธ์—์„œ ์ž‘์€ ๊ต๋ž€์ด ์–ด๋–ป๊ฒŒ ํ™•์‚ฐ๋˜๋Š”์ง€๋ฅผ ์—ฐ๊ตฌํ•˜๋Š” ๊ฒƒ์œผ๋กœ, ์ด๋Š” ์ž์œจ ์‹œ์Šคํ…œ์˜ ๋™์  ํ–‰๋™์— ๋Œ€ํ•œ ์ค‘์š”ํ•œ ์ดํ•ด๋ฅผ ์ œ๊ณตํ•œ๋‹ค. ํŠนํžˆ, ์ด ์—ฐ๊ตฌ๋Š” ์†์ƒ(damage)์˜ ํ™•์‚ฐ์„ ํ†ตํ•ด SOC ์ƒํƒœ์—์„œ์˜ ์—ญ๋™์„ฑ์„ ํƒ๊ตฌํ•˜๋ฉฐ, ์ด๋ฅผ ํ†ตํ•ด ๋ชจ๋ž˜๋”๋ฏธ ๋ชจ๋ธ์ด ์–ด๋–ป๊ฒŒ ์ž๊ธฐ ์กฐ์งํ™”๋˜๊ณ  ๋น„ํŒ์ ์ธ ์ƒํƒœ๋ฅผ ์œ ์ง€ํ•˜๋Š”์ง€์— ๋Œ€ํ•œ ๊นŠ์€ ํ†ต์ฐฐ๋ ฅ์„ ์ œ๊ณตํ•œ๋‹ค. 1. ๋ชจ๋ธ ๋ฐ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ๋ชจ๋ž˜๋”๋ฏธ ๋ชจ๋ธ์€ ๊ฒฉ์ž ์ž๋™์ž ๋ชจ๋ธ๋กœ, ๊ฐ ์‚ฌ์ดํŠธ๋Š” ์ •์ˆ˜ ๊ฐ’์„ ๊ฐ€์งˆ ์ˆ˜ ์žˆ๋Š” ๋ณ€์ˆ˜ z(i, j)๋ฅผ ๊ฐ–๋Š”๋‹ค. ์ด ๊ฐ’์€ ๋ชจ๋ž˜ ์ž…์ž๊ฐ€ ์ถ”๊ฐ€๋  ๋•Œ๋งˆ๋‹ค ์ฆ๊ฐ€ํ•˜๊ณ , ํŠน์ • ์ž„๊ณ„๊ฐ’ zm์—

Condensed Matter Nonlinear Sciences Model
No Image

Partition function of 1-, 2-, and 3-D monatomic ideal gas: A simple and comprehensive review

๋ณธ ๋…ผ๋ฌธ์€ ์›์ž ๊ธฐ์ฒด์˜ ๋ถ„ํ•  ํ•จ์ˆ˜๋ฅผ 1์ฐจ์›, 2์ฐจ์›, ๊ทธ๋ฆฌ๊ณ  3์ฐจ์›์—์„œ ๊ฐ๊ฐ ํƒ๊ตฌํ•˜๊ณ  ์ด๋ฅผ ํ†ตํ•ด ์ฐจ์›์— ๋”ฐ๋ฅธ ๊ณตํ†ต์ ๊ณผ ์ฐจ์ด์ ์„ ๋ถ„์„ํ•œ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ๊ณ ์ „์ ์ธ ๋ฌผ๋ฆฌํ•™์  ์ ‘๊ทผ ๋ฐฉ์‹์„ ๋ฐ”ํƒ•์œผ๋กœ ํ•˜๋ฉฐ, ํŠนํžˆ ๋งฅ์Šค์›ฐ ๋ณผ์ธ ๋งŒ ํ†ต๊ณ„ํ•™์˜ ์›๋ฆฌ๋ฅผ ํ™œ์šฉํ•˜์—ฌ ์ž…์ž์˜ ์ƒํƒœ ์ˆ˜์™€ ์—๋„ˆ์ง€ ๊ฐ„์˜ ๊ด€๊ณ„๋ฅผ ์ •๋ฆฝํ•˜๊ณ  ์ด๋ฅผ ํ†ตํ•ด ๋ถ„ํ•  ํ•จ์ˆ˜๋ฅผ ๋„์ถœํ•˜๋Š” ๋ฐฉ๋ฒ•๋ก ์„ ์ œ์‹œํ•œ๋‹ค. 1. ์ด๋ก ์  ๋ฐฐ๊ฒฝ ๋…ผ๋ฌธ์€ ฮ“ ํ†ตํ•ฉ๊ณผ ๋งฅ์Šค์›ฐ ๋ณผ์ธ ๋งŒ ํ†ต๊ณ„ํ•™์— ๋Œ€ํ•œ ์ดํ•ด๊ฐ€ ํ•„์š”ํ•˜๋‹ค๋Š” ์ ์—์„œ ์ถœ๋ฐœํ•œ๋‹ค. ์ด๋Ÿฌํ•œ ์ˆ˜ํ•™์  ๊ธฐ๋ฐ˜ ์œ„์—์„œ, ์›์ž ๊ธฐ์ฒด์˜ ๋ถ„ํ•  ํ•จ์ˆ˜๋ฅผ ๊ณ„์‚ฐํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ํƒ๊ตฌํ•œ๋‹ค. ์ด๋ก ์ ์œผ๋กœ, ๋ถ„ํ• 

Condensed Matter Physics

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