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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.17 No.4
- 발행연도
- 2013.12
- 수록면
- 267 - 278 (12page)
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초록· 키워드
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We consider zero range processes with density dependent jump rates g given by g = g(n, k) = g1(n)g2(k/n) with g1(x) = x<SUP>?α</SUP> and
<수식은 본문참조>
In this case, with 1/2 < a < 1 and α > 0, we show that non-complete condensation occurs with maximum cluster size an. More precisely, for any _ > 0, there exists M*> 0 such that, for any 0 < M ≤ M* , the maximum cluster size is between (a ? ε)n and (a + ε)n for large n. This provides a simple example of non-complete condensation under perturbation of rates which are deep in the range of perfect condensation (e.g. α >> 1) and supports the instability of the condensation transition.
<수식은 본문참조>
In this case, with 1/2 < a < 1 and α > 0, we show that non-complete condensation occurs with maximum cluster size an. More precisely, for any _ > 0, there exists M*> 0 such that, for any 0 < M ≤ M* , the maximum cluster size is between (a ? ε)n and (a + ε)n for large n. This provides a simple example of non-complete condensation under perturbation of rates which are deep in the range of perfect condensation (e.g. α >> 1) and supports the instability of the condensation transition.
목차
ABSTRACT
1. INTRODUCTION
2. ZERO RANGE PROCESS
3. MAIN THEOREMS AND PROOFS
REFERENCES
참고문헌 (14)
참고문헌 신청
1. [학술지(정기간행물)] - I. Armendariz / 2009 / Thermodynamic Limit for the Invariant Measures in Supercritical Zero Range Processes / Prob. Th. Rel. Fields 145 (1-2) : 175 ~ 188
2. [학술지(정기간행물)] - J. Beltran / 2012 / Metastability of reversible condensed zero range processes on a finite set / Prob. Th. Rel. Fields 152 (3) : 781 ~ 807
3. [학술지(정기간행물)] - L. Molino / 2012 / Condensation in randomly perturbed zero-range processes / J. Phys. A: Math. Theor 45 (20) : 205001 ~
4. [학술지(정기간행물)] - M. R. Evans / 2000 / Phase transitions in one-dimensional nonequilibrium systems / Braz. J. Phys 30 : 42 ~ 57
5. [학술지(정기간행물)] - M. R. Evans / 2005 / Nonequilibrium statistical mechanics of the zero-range process and related models / J. Phys. A: Math. Gen 38 : 195 ~ 240
2. [학술지(정기간행물)] - J. Beltran / 2012 / Metastability of reversible condensed zero range processes on a finite set / Prob. Th. Rel. Fields 152 (3) : 781 ~ 807
3. [학술지(정기간행물)] - L. Molino / 2012 / Condensation in randomly perturbed zero-range processes / J. Phys. A: Math. Theor 45 (20) : 205001 ~
4. [학술지(정기간행물)] - M. R. Evans / 2000 / Phase transitions in one-dimensional nonequilibrium systems / Braz. J. Phys 30 : 42 ~ 57
5. [학술지(정기간행물)] - M. R. Evans / 2005 / Nonequilibrium statistical mechanics of the zero-range process and related models / J. Phys. A: Math. Gen 38 : 195 ~ 240
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UCI(KEPA) : I410-ECN-0101-2015-400-001082030