SCOPUS 정보 검색 플랫폼

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 4, 2009, Pages

Critical percolation phase and thermal Berezinskii-Kosterlitz-Thouless transition in a scale-free network with short-range and long-range random bonds

(3) Berker, A Nihat a,b,c Hinczewski, Michael b Netz, Roland R b

a SABANCI UNIVERSITY (Turkey)

b TECHNICAL UNIVERSITY OF MUNICH (Germany)

c MASSACHUSETTS INSTITUTE OF TECHNOLOGY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEREZINSKII-KOSTERLITZ-THOULESS TRANSITION; BKT TRANSITION; GEOMETRIC ORDER; HIERARCHICAL NETWORK; HIGH TEMPERATURE; KOSTERLITZ-THOULESS; NON-PERCOLATING; RANDOM BONDS; RENORMALIZATION GROUP; SCALE FREE NETWORKS; SCALE-FREE; SMALL WORLDS;

ALGEBRA; ISING MODEL; PHASE DIAGRAMS; PROBABILITY; SEMICONDUCTOR QUANTUM DOTS; SOLVENTS;

ELECTRON ENERGY ANALYZERS;

EID: 70350528567 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.80.041118 Document Type: Article

Times cited : (30)

References (56)

1
- 0036013593
- 10.1103/RevModPhys.74.47
- R. Albert and A.-L. Barabasi, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47
- (2002) Rev. Mod. Phys. , vol.74 , pp. 47
- Albert, R.¹ Barabasi, A.-L.²

2
- 0038718854
- 10.1137/S003614450342480
- M. E. J. Newman, SIAM Rev. 45, 167 (2003). 10.1137/S003614450342480
- (2003) SIAM Rev. , vol.45 , pp. 167
- Newman, M.E.J.¹

3
- 31344474880
- Complex networks: Structure and dynamics
- DOI 10.1016/j.physrep.2005.10.009, PII S037015730500462X
- S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
- (2006) Physics Reports , vol.424 , Issue.4-5 , pp. 175-308
- Boccaletti, S.¹ Latora, V.² Moreno, Y.³ Chavez, M.⁴ Hwang, D.-U.⁵

4
- 56549085272
- 10.1103/RevModPhys.80.1275
- S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. 80, 1275 (2008). 10.1103/RevModPhys.80.1275
- (2008) Rev. Mod. Phys. , vol.80 , pp. 1275
- Dorogovtsev, S.N.¹ Goltsev, A.V.² Mendes, J.F.F.³

5
- 70350529677
- M. A. Porter, J.-P. Onnela, and P. J. Mucha, Not. Am. Math. Soc. 56, 9 (2009).
- (2009) Not. Am. Math. Soc. , vol.56 , pp. 9
- Porter, M.A.¹ Onnela, J.-P.² Mucha, P.J.³

6
- 0000365631
- V. L. Berezinskii, Sov. Phys. JETP 32, 493 (1971).
- (1971) Sov. Phys. JETP , vol.32 , pp. 493
- Berezinskii, V.L.¹

7
- 33646668033
- 10.1088/0022-3719/6/7/010
- J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973). 10.1088/0022-3719/6/7/010
- (1973) J. Phys. C , vol.6 , pp. 1181
- Kosterlitz, J.M.¹ Thouless, D.J.²

8
- 0040163063
- 10.1007/BF01334762
- O. Costin, R. D. Costin, and C. P. Grunfeld, J. Stat. Phys. 59, 1531 (1990). 10.1007/BF01334762
- (1990) J. Stat. Phys. , vol.59 , pp. 1531
- Costin, O.¹ Costin, R.D.² Grunfeld, C.P.³

9
- 2842549493
- 10.1007/BF01057873
- O. Costin and R. D. Costin, J. Stat. Phys. 64, 193 (1991). 10.1007/BF01057873
- (1991) J. Stat. Phys. , vol.64 , pp. 193
- Costin, O.¹ Costin, R.D.²

10
- 0040757139
- 10.1142/S0217984995001455
- S. Romano, Mod. Phys. Lett. B 9, 1447 (1995). 10.1142/S0217984995001455
- (1995) Mod. Phys. Lett. B , vol.9 , pp. 1447
- Romano, S.¹

11
- 0040712641
- 10.1088/0305-4470/32/6/002
- M. Bundaru and C. P. Grunfeld, J. Phys. A 32, 875 (1999). 10.1088/0305-4470/32/6/002
- (1999) J. Phys. A , vol.32 , pp. 875
- Bundaru, M.¹ Grunfeld, C.P.²

12
- 33244495092
- Phase transition with the berezinskii-kosterlitz-thouless singularity in the ising model on a growing network
- DOI 10.1103/PhysRevLett.94.200602
- M. Bauer, S. Coulomb, and S. N. Dorogovtsev, Phys. Rev. Lett. 94, 200602 (2005). 10.1103/PhysRevLett.94.200602 (Pubitemid 43272577)
- (2005) Physical Review Letters , vol.94 , Issue.20 , pp. 200602
- Bauer, M.¹ Coulomb, S.² Dorogovtsev, S.N.³

13
- 0035474697
- 10.1103/PhysRevE.64.041902
- D. S. Callaway, J. E. Hopcroft, J. M. Kleinberg, M. E. J. Newman, and S. H. Strogatz, Phys. Rev. E 64, 041902 (2001). 10.1103/PhysRevE.64.041902
- (2001) Phys. Rev. e , vol.64 , pp. 041902
- Callaway, D.S.¹ Hopcroft, J.E.² Kleinberg, J.M.³ Newman, M.E.J.⁴ Strogatz, S.H.⁵

14
- 0035689340
- 10.1103/PhysRevE.64.066110
- S. N. Dorogovtsev, J. F. F. Mendes, and A. N. Samukhin, Phys. Rev. E 64, 066110 (2001). 10.1103/PhysRevE.64.066110
- (2001) Phys. Rev. e , vol.64 , pp. 066110
- Dorogovtsev, S.N.¹ Mendes, J.F.F.² Samukhin, A.N.³

15
- 37649031137
- 10.1103/PhysRevE.66.055101
- J. Kim, P. L. Krapivsky, B. Kahng, and S. Redner, Phys. Rev. E 66, 055101 (R) (2002). 10.1103/PhysRevE.66.055101
- (2002) Phys. Rev. e , vol.66 , pp. 055101
- Kim, J.¹ Krapivsky, P.L.² Kahng, B.³ Redner, S.⁴

16
- 0037040139
- Cluster growth in two growing network models
- DOI 10.1088/0305-4470/35/5/305, PII S030544700229589X
- D. Lancaster, J. Phys. A 35, 1179 (2002). 10.1088/0305-4470/35/5/305 (Pubitemid 37026737)
- (2002) Journal of Physics A: Mathematical and General , vol.35 , Issue.5 , pp. 1179-1194
- Lancaster, D.¹

17
- 0037235979
- 10.1023/A:1022842013935
- M. Bauer and D. Bernard, J. Stat. Phys. 111, 703 (2003). 10.1023/A:1022842013935
- (2003) J. Stat. Phys. , vol.111 , pp. 703
- Bauer, M.¹ Bernard, D.²

18
- 3342949690
- Asymmetric evolving random networks
- DOI 10.1140/epjb/e2003-00290-4
- S. Coulomb and M. Bauer, Eur. Phys. J. B 35, 377 (2003). 10.1140/epjb/e2003-00290-4 (Pubitemid 41200979)
- (2003) European Physical Journal B , vol.35 , Issue.3 , pp. 377-389
- Coulomb, S.¹ Bauer, M.²

19
- 3343011468
- 10.1016/j.physa.2004.05.020
- P. L. Krapivsky and B. Derrida, Physica A 340, 714 (2004). 10.1016/j.physa.2004.05.020
- (2004) Physica A , vol.340 , pp. 714
- Krapivsky, P.L.¹ Derrida, B.²

20
- 22144454306
- The phase transition in the uniformly grown random graph has infinite order
- DOI 10.1002/rsa.20041
- B. Bollobás, S. Janson, and O. Riordan, Random Struct. Algorithms 26, 1 (2005). 10.1002/rsa.20041 (Pubitemid 40983841)
- (2005) Random Structures and Algorithms , vol.26 , Issue.1-2 , pp. 1-36
- Bollobas, B.¹ Janson, S.² Riordan, O.³

21
- 33745669442
- Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network
- DOI 10.1103/PhysRevE.73.066126
- M. Hinczewski and A. N. Berker, Phys. Rev. E 73, 066126 (2006). 10.1103/PhysRevE.73.066126 (Pubitemid 43974164)
- (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.73 , Issue.6 , pp. 066126
- Hinczewski, M.¹ Berker, A.N.²

22
- 34547258646
- Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
- DOI 10.1103/PhysRevE.75.061104
- M. Hinczewski, Phys. Rev. E 75, 061104 (2007). 10.1103/PhysRevE.75.061104 (Pubitemid 47140345)
- (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.75 , Issue.6 , pp. 061104
- Hinczewski, M.¹

23
- 0040367902
- 10.1088/0022-3719/12/22/035
- A. N. Berker and S. Ostlund, J. Phys. C 12, 4961 (1979). 10.1088/0022-3719/12/22/035
- (1979) J. Phys. C , vol.12 , pp. 4961
- Berker, A.N.¹ Ostlund, S.²

24
- 24844472982
- 10.1103/PhysRevB.26.5022
- R. B. Griffiths and M. Kaufman, Phys. Rev. B 26, 5022 (1982). 10.1103/PhysRevB.26.5022
- (1982) Phys. Rev. B , vol.26 , pp. 5022
- Griffiths, R.B.¹ Kaufman, M.²

25
- 0008020822
- 10.1103/PhysRevB.30.244
- M. Kaufman and R. B. Griffiths, Phys. Rev. B 30, 244 (1984). 10.1103/PhysRevB.30.244
- (1984) Phys. Rev. B , vol.30 , pp. 244
- Kaufman, M.¹ Griffiths, R.B.²

26
- 34548524898
- Evolving pseudofractal networks
- DOI 10.1140/epjb/e2007-00229-9
- Z. Z. Zhang, Z. G. Zhou, and L. C. Chen, Eur. Phys. J. B 58, 337 (2007). 10.1140/epjb/e2007-00229-9 (Pubitemid 47384033)
- (2007) European Physical Journal B , vol.58 , Issue.3 , pp. 337-344
- Zhang, Z.¹ Zhou, S.² Chen, L.³

27
- 34247376537
- Berezinskii-Kosterlitz-Thouless-like transition in the Potts model on an inhomogeneous annealed network
- DOI 10.1103/PhysRevE.75.041112
- E. Khajeh, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 75, 041112 (2007). 10.1103/PhysRevE.75.041112 (Pubitemid 46632326)
- (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.75 , Issue.4 , pp. 041112
- Khajeh, E.¹ Dorogovtsev, S.N.² Mendes, J.F.F.³

28
- 34547311119
- Percolation in hierarchical scale-free nets
- DOI 10.1103/PhysRevE.75.061102
- H. D. Rozenfeld and D. ben-Avraham, Phys. Rev. E 75, 061102 (2007). 10.1103/PhysRevE.75.061102 (Pubitemid 47140353)
- (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.75 , Issue.6 , pp. 061102
- Rozenfeld, H.D.¹ Ben-Avraham, D.²

29
- 47649097608
- M. Wrobel, Condens. Matter Phys. 11, 341 (2008).
- (2008) Condens. Matter Phys. , vol.11 , pp. 341
- Wrobel, M.¹

30
- 48249140599
- 10.1088/1751-8113/41/25/252001
- S. Boettcher, B. Goncalves, and H. Guclu, J. Phys. A 41, 252001 (2008). 10.1088/1751-8113/41/25/252001
- (2008) J. Phys. A , vol.41 , pp. 252001
- Boettcher, S.¹ Goncalves, B.² Guclu, H.³

31
- 49749152382
- 10.1088/1751-8113/41/33/335003
- S. Boettcher, B. Goncalves, and J. Azaret, J. Phys. A 41, 335003 (2008). 10.1088/1751-8113/41/33/335003
- (2008) J. Phys. A , vol.41 , pp. 335003
- Boettcher, S.¹ Goncalves, B.² Azaret, J.³

32
- 67650149296
- 10.1103/PhysRevE.79.061120
- C. N. Kaplan, M. Hinczewski, and A. N. Berker, Phys. Rev. E 79, 061120 (2009). 10.1103/PhysRevE.79.061120
- (2009) Phys. Rev. e , vol.79 , pp. 061120
- Kaplan, C.N.¹ Hinczewski, M.² Berker, A.N.³

33
- 38949088200
- Potts-percolation-Gauss model of a solid
- DOI 10.1088/0953-8984/20/7/075222, PII S0953898408651991
- M. Kaufman and H. T. Diep, J. Phys.: Condens. Matter 20, 075222 (2008). 10.1088/0953-8984/20/7/075222 (Pubitemid 351229896)
- (2008) Journal of Physics Condensed Matter , vol.20 , Issue.7 , pp. 075222
- Kaufman, M.¹ Diep, H.T.²

34
- 37549026761
- Phase diagram of the two-dimensional ferromagnetic three-color Ashkin-Teller model
- DOI 10.1016/j.physa.2007.11.009, PII S0378437107012113
- F. A. P. Piolho, F. A. da Costa, and C. G. Bezerra, Physica A 387, 1538 (2008). 10.1016/j.physa.2007.11.009 (Pubitemid 50016728)
- (2008) Physica A: Statistical Mechanics and its Applications , vol.387 , Issue.7 , pp. 1538-1544
- Piolho, F.A.P.¹ Da Costa, F.A.² Bezerra, C.G.³ Mariz, A.M.⁴

35
- 42049102422
- 10.1103/PhysRevB.77.134416
- C. Monthus and T. Garel, Phys. Rev. B 77, 134416 (2008). 10.1103/PhysRevB.77.134416
- (2008) Phys. Rev. B , vol.77 , pp. 134416
- Monthus, C.¹ Garel, T.²

36
- 40849097603
- 10.1103/PhysRevE.77.021132
- C. Monthus and T. Garel, Phys. Rev. E 77, 021132 (2008). 10.1103/PhysRevE.77.021132
- (2008) Phys. Rev. e , vol.77 , pp. 021132
- Monthus, C.¹ Garel, T.²

37
- 41549106765
- 10.1103/PhysRevE.77.031129
- N. S. Branco, J. R. de Sousa, and A. Ghosh, Phys. Rev. E 77, 031129 (2008). 10.1103/PhysRevE.77.031129
- (2008) Phys. Rev. e , vol.77 , pp. 031129
- Branco, N.S.¹ De Sousa, J.R.² Ghosh, A.³

38
- 44949123481
- 10.1103/PhysRevE.77.061110
- C. Güven, A. N. Berker, M. Hinczewski, and H. Nishimori, Phys. Rev. E 77, 061110 (2008). 10.1103/PhysRevE.77.061110
- (2008) Phys. Rev. e , vol.77 , pp. 061110
- Güven, C.¹ Berker, A.N.² Hinczewski, M.³ Nishimori, H.⁴

39
- 45249099089
- 10.1103/PhysRevE.77.061116
- M. Ohzeki, H. Nishimori, and A. N. Berker, Phys. Rev. E 77, 061116 (2008). 10.1103/PhysRevE.77.061116
- (2008) Phys. Rev. e , vol.77 , pp. 061116
- Ohzeki, M.¹ Nishimori, H.² Berker, A.N.³

40
- 51349107482
- 10.1103/PhysRevE.78.031104
- V. O. Özçelik and A. N. Berker, Phys. Rev. E 78, 031104 (2008). 10.1103/PhysRevE.78.031104
- (2008) Phys. Rev. e , vol.78 , pp. 031104
- Özçelik, V.O.¹ Berker, A.N.²

41
- 43049096818
- Entropic effects in the very low temperature regime of diluted ising spin glasses with discrete couplings
- DOI 10.1103/PhysRevLett.100.177203
- T. Jorg and F. Ricci-Tersenghi, Phys. Rev. Lett. 100, 177203 (2008). 10.1103/PhysRevLett.100.177203 (Pubitemid 351623397)
- (2008) Physical Review Letters , vol.100 , Issue.17 , pp. 177203
- Jorg, T.¹ Ricci-Tersenghi, F.²

42
- 55849118791
- 10.1103/PhysRevLett.101.197205
- T. Jorg and H. G. Katzgraber, Phys. Rev. Lett. 101, 197205 (2008). 10.1103/PhysRevLett.101.197205
- (2008) Phys. Rev. Lett. , vol.101 , pp. 197205
- Jorg, T.¹ Katzgraber, H.G.²

43
- 60349123558
- 10.1103/PhysRevB.79.014434
- N. Aral and A. N. Berker, Phys. Rev. B 79, 014434 (2009). 10.1103/PhysRevB.79.014434
- (2009) Phys. Rev. B , vol.79 , pp. 014434
- Aral, N.¹ Berker, A.N.²

44
- 61549136063
- 10.1103/PhysRevE.79.021110
- G. GülpInar and A. N. Berker, Phys. Rev. E 79, 021110 (2009). 10.1103/PhysRevE.79.021110
- (2009) Phys. Rev. e , vol.79 , pp. 021110
- Gülpinar, G.¹ Berker, A.N.²

45
- 67650872960
- 10.1088/1751-8113/42/9/095001
- J. De Simoi and S. Marmi, J. Phys. A 42, 095001 (2009). 10.1088/1751-8113/42/9/095001
- (2009) J. Phys. A , vol.42 , pp. 095001
- De Simoi, J.¹ Marmi, S.²

46
- 67650872960
- 10.1088/1751-8113/42/9/095002
- J. De Simoi, J. Phys. A 42, 095002 (2009). 10.1088/1751-8113/42/9/095002
- (2009) J. Phys. A , vol.42 , pp. 095002
- De Simoi, J.¹

47
- 26744440217
- 10.1088/0305-4470/13/11/007
- A. N. Berker, D. Andelman, and A. Aharony, J. Phys. A 13, L413 (1980). 10.1088/0305-4470/13/11/007
- (1980) J. Phys. A , vol.13 , pp. 413
- Berker, A.N.¹ Andelman, D.² Aharony, A.³

48
- 4243056062
- 10.1103/PhysRevLett.43.737
- B. Nienhuis, A. N. Berker, E. K. Riedel, and M. Schick, Phys. Rev. Lett. 43, 737 (1979). 10.1103/PhysRevLett.43.737
- (1979) Phys. Rev. Lett. , vol.43 , pp. 737
- Nienhuis, B.¹ Berker, A.N.² Riedel, E.K.³ Schick, M.⁴

49
- 4244026148
- 10.1088/0305-4470/14/4/005
- D. Andelman and A. N. Berker, J. Phys. A 14, L91 (1981). 10.1088/0305-4470/14/4/005
- (1981) J. Phys. A , vol.14 , pp. 91
- Andelman, D.¹ Berker, A.N.²

50
- 0001427474
- 10.1103/PhysRevB.23.6055
- B. Nienhuis, E. K. Riedel, and M. Schick, Phys. Rev. B 23, 6055 (1981). 10.1103/PhysRevB.23.6055
- (1981) Phys. Rev. B , vol.23 , pp. 6055
- Nienhuis, B.¹ Riedel, E.K.² Schick, M.³

51
- 25744431786
- 10.1088/0305-4470/13/7/008;
- A. N. Berker and L. P. Kadanoff, J. Phys. A 13, L259 (1980) 10.1088/0305-4470/13/7/008
- (1980) J. Phys. A , vol.13 , pp. 259
- Berker, A.N.¹ Kadanoff, L.P.²

52
- 23644454951
- 10.1088/0305-4470/13/12/530
- A. N. Berker and L. P. Kadanoff, J. Phys. A 13, 3786 (1980), corrigendum. 10.1088/0305-4470/13/12/530
- (1980) J. Phys. A , vol.13 , pp. 3786
- Berker, A.N.¹ Kadanoff, L.P.²

53
- 23644456375
- Spanning forests and the q-state potts model in the limit q →0
- DOI 10.1007/s10955-005-4409-y
- J. L. Jacobsen, J. Salas, and A. D. Sokal, J. Stat. Phys. 119, 1153 (2005). 10.1007/s10955-005-4409-y (Pubitemid 41130716)
- (2005) Journal of Statistical Physics , vol.119 , Issue.5-6 , pp. 1153-1281
- Jacobsen, J.L.¹ Salas, J.² Sokal, A.D.³

54
- 33646061321
- 10.1016/j.nuclphysb.2006.02.041
- J. L. Jacobsen and H. Saleur, Nucl. Phys. B 743, 207 (2006). 10.1016/j.nuclphysb.2006.02.041
- (2006) Nucl. Phys. B , vol.743 , pp. 207
- Jacobsen, J.L.¹ Saleur, H.²

55
- 35949019952
- 10.1103/PhysRevB.29.5053
- M. Kaufman and M. Kardar, Phys. Rev. B 29, 5053 (1984). 10.1103/PhysRevB.29.5053
- (1984) Phys. Rev. B , vol.29 , pp. 5053
- Kaufman, M.¹ Kardar, M.²

56
- 0000289356
- 10.1103/PhysRevB.19.2488
- A. N. Berker and D. R. Nelson, Phys. Rev. B 19, 2488 (1979). 10.1103/PhysRevB.19.2488
- (1979) Phys. Rev. B , vol.19 , pp. 2488
- Berker, A.N.¹ Nelson, D.R.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.