SCOPUS 정보 검색 플랫폼

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

Volumn 81, Issue 5, 2010, Pages

Upper critical dimension of the negative-weight percolation problem

(3) Melchert, O a Apolo, L a,b Hartmann, A K a

a UNIVERSITY OF OLDENBURG (Germany)

b NEW YORK UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL OPTIMIZATION PROBLEMS; CRITICAL PROPERTIES; EDGE WEIGHTS; FINITE-SIZE SCALING ANALYSIS; GEOMETRIC PROPERTIES; HYPERCUBIC LATTICES; MATCHING ALGORITHM; NUMERICAL RESULTS; NUMERICAL SIMULATION; NWP MODEL; PERCOLATION PROBLEMS; PERCOLATION THEORY; SIDE LENGTH; UPPER CRITICAL DIMENSION;

COMBINATORIAL OPTIMIZATION; NUMERICAL ANALYSIS; SOLVENTS;

COMPUTER SIMULATION;

EID: 77952396256 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.81.051108 Document Type: Article

Times cited : (12)

References (36)

1
- 33645074121
- 10.1007/BF01293328
- K. Kremer, Z. Phys. B: Condens. Matter 45, 149 (1981). 10.1007/BF01293328
- (1981) Z. Phys. B: Condens. Matter , vol.45 , pp. 149
- Kremer, K.¹

2
- 35949009068
- 10.1103/PhysRevLett.58.2087
- M. Kardar and Y. C. Zhang, Phys. Rev. Lett. 58, 2087 (1987). 10.1103/PhysRevLett.58.2087
- (1987) Phys. Rev. Lett. , vol.58 , pp. 2087
- Kardar, M.¹ Zhang, Y.C.²

3
- 0001792037
- 10.1016/0378-4371(90)90316-K
- B. Derrida, Physica A 163, 71 (1990). 10.1016/0378-4371(90)90316-K
- (1990) Physica A , vol.163 , pp. 71
- Derrida, B.¹

4
- 21144474372
- 10.1088/0305-4470/26/5/022
- P. Grassberger, J. Phys. A 26, 1023 (1993). 10.1088/0305-4470/26/5/022
- (1993) J. Phys. A , vol.26 , pp. 1023
- Grassberger, P.¹

5
- 67249101104
- 10.1103/PhysRevE.79.050102
- R. Parshani, L. A. Braunstein, and S. Havlin, Phys. Rev. E 79, 050102 (R) (2009). 10.1103/PhysRevE.79.050102
- (2009) Phys. Rev. e , vol.79 , pp. 050102
- Parshani, R.¹ Braunstein, L.A.² Havlin, S.³

6
- 0037061141
- 10.1088/0953-8984/14/9/325
- F. O. Pfeiffer and H. Rieger, J. Phys.: Condens. Matter 14, 2361 (2002). 10.1088/0953-8984/14/9/325
- (2002) J. Phys.: Condens. Matter , vol.14 , pp. 2361
- Pfeiffer, F.O.¹ Rieger, H.²

7
- 42749098554
- 10.1103/PhysRevE.67.056113
- F. O. Pfeiffer and H. Rieger, Phys. Rev. E 67, 056113 (2003). 10.1103/PhysRevE.67.056113
- (2003) Phys. Rev. e , vol.67 , pp. 056113
- Pfeiffer, F.O.¹ Rieger, H.²

8
- 4243525013
- 10.1103/PhysRevLett.72.2320
- M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. 72, 2320 (1994). 10.1103/PhysRevLett.72.2320
- (1994) Phys. Rev. Lett. , vol.72 , pp. 2320
- Cieplak, M.¹ Maritan, A.² Banavar, J.R.³

9
- 35848968273
- 10.1103/PhysRevB.76.174411
- O. Melchert and A. K. Hartmann, Phys. Rev. B 76, 174411 (2007). 10.1103/PhysRevB.76.174411
- (2007) Phys. Rev. B , vol.76 , pp. 174411
- Melchert, O.¹ Hartmann, A.K.²

10
- 70449431411
- 10.1088/1742-5468/2009/08/P08022
- K. Schwarz, A. Karrenbauer, G. Schehr, and H. Rieger, J. Stat. Mech.: Theory Exp. (2009) P08022. 10.1088/1742-5468/2009/08/P08022
- J. Stat. Mech.: Theory Exp. , vol.2009 , pp. 08022
- Schwarz, K.¹ Karrenbauer, A.² Schehr, G.³ Rieger, H.⁴

11
- 26844437183
- 10.1016/0370-1573(79)90060-7
- D. Stauffer, Phys. Rep. 54, 1 (1979). 10.1016/0370-1573(79)90060-7
- (1979) Phys. Rep. , vol.54 , pp. 1
- Stauffer, D.¹

12
- 0003610874
- Taylor and Francis, London
- D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1994).
- (1994) Introduction to Percolation Theory
- Stauffer, D.¹ Aharony, A.²

13
- 46449100135
- 10.1088/1367-2630/10/4/043039
- O. Melchert and A. K. Hartmann, New J. Phys. 10, 043039 (2008). 10.1088/1367-2630/10/4/043039
- (2008) New J. Phys. , vol.10 , pp. 043039
- Melchert, O.¹ Hartmann, A.K.²

14
- 63249105723
- 10.1103/PhysRevE.79.031103
- L. Apolo, O. Melchert, and A. K. Hartmann, Phys. Rev. E 79, 031103 (2009). 10.1103/PhysRevE.79.031103
- (2009) Phys. Rev. e , vol.79 , pp. 031103
- Apolo, L.¹ Melchert, O.² Hartmann, A.K.³

15
- 77952408470
- Ph.D. thesis, University of Oldenburg
- O. Melchert, Ph.D. thesis, University of Oldenburg, 2009.
- (2009)
- Melchert, O.¹

16
- 37349017231
- 10.1103/PhysRevB.76.220406
- C. K. Thomas and A. A. Middleton, Phys. Rev. B 76, 220406 (R) (2007). 10.1103/PhysRevB.76.220406
- (2007) Phys. Rev. B , vol.76 , pp. 220406
- Thomas, C.K.¹ Middleton, A.A.²

17
- 57049085652
- 10.1103/PhysRevE.78.056705
- G. Pardella and F. Liers, Phys. Rev. E 78, 056705 (2008). 10.1103/PhysRevE.78.056705
- (2008) Phys. Rev. e , vol.78 , pp. 056705
- Pardella, G.¹ Liers, F.²

18
- 65649135190
- 10.1103/PhysRevB.79.184402
- O. Melchert and A. K. Hartmann, Phys. Rev. B 79, 184402 (2009). 10.1103/PhysRevB.79.184402
- (2009) Phys. Rev. B , vol.79 , pp. 184402
- Melchert, O.¹ Hartmann, A.K.²

19
- 0003515463
- Prentice Hall, Englewood Cliffs, NJ
- R. K. Ahuja, T. L. Magnanti, and J. B. Orlin, Network Flows: Theory, Algorithms, and Applications (Prentice Hall, Englewood Cliffs, NJ, 1993).
- (1993) Network Flows: Theory, Algorithms, and Applications
- Ahuja, R.K.¹ Magnanti, T.L.² Orlin, J.B.³

20
- 0001764190
- 10.1287/ijoc.11.2.138
- W. Cook and A. Rohe, INFORMS J. Comput. 11, 138 (1999). 10.1287/ijoc.11.2.138
- (1999) INFORMS J. Comput. , vol.11 , pp. 138
- Cook, W.¹ Rohe, A.²

21
- 0004024631
- Wiley-VCH, Weinheim, 10.1002/3527600876
- A. K. Hartmann and H. Rieger, Optimization Algorithms in Physics (Wiley-VCH, Weinheim, 2001). 10.1002/3527600876
- (2001) Optimization Algorithms in Physics
- Hartmann, A.K.¹ Rieger, H.²

22
- 72449195435
- World Scientific, Singapore
- A. K. Hartmann, Practical Guide to Computer Simulations (World Scientific, Singapore, 2009).
- (2009) Practical Guide to Computer Simulations
- Hartmann, A.K.¹

23
- 77952349776
- For the calculation of minimum-weighted perfect matchings, we use Cook and Rohes BLOSSOM4 extension to the Concorde library;
- For the calculation of minimum-weighted perfect matchings, we use Cook and Rohes BLOSSOM4 extension to the Concorde library

24
- 77952362625
- URL:
- URL: http://www2.isye.gatech.edu/wcook/blossom4/

25
- 0000450601
- 10.1103/PhysRevD.30.2036
- T. Vachaspati and A. Vilenkin, Phys. Rev. D 30, 2036 (1984). 10.1103/PhysRevD.30.2036
- (1984) Phys. Rev. D , vol.30 , pp. 2036
- Vachaspati, T.¹ Vilenkin, A.²

26
- 45849154620
- 10.1103/PhysRevB.70.014418
- J. Houdayer and A. K. Hartmann, Phys. Rev. B 70, 014418 (2004). 10.1103/PhysRevB.70.014418
- (2004) Phys. Rev. B , vol.70 , pp. 014418
- Houdayer, J.¹ Hartmann, A.K.²

27
- 77952384710
- e-print arXiv:0910.5403.
- O. Melchert, e-print arXiv:0910.5403.
- Melchert, O.¹

28
- 41349110614
- 10.1103/PhysRevE.66.056107
- C. R. da Silva, M. L. Lyra, and G. M. Viswanathan, Phys. Rev. E 66, 056107 (2002). 10.1103/PhysRevE.66.056107
- (2002) Phys. Rev. e , vol.66 , pp. 056107
- Da Silva, C.R.¹ Lyra, M.L.² Viswanathan, G.M.³

29
- 0032120986
- 10.1023/A:1023008021962
- N. Jan, D. Stauffer, and A. Aharony, J. Stat. Phys. 92, 325 (1998). 10.1023/A:1023008021962
- (1998) J. Stat. Phys. , vol.92 , pp. 325
- Jan, N.¹ Stauffer, D.² Aharony, A.³

30
- 0346845508
- 10.1016/0378-4371(95)00034-5
- A. Aharony and D. Stauffer, Physica A 215, 242 (1995). 10.1016/0378-4371(95)00034-5
- (1995) Physica A , vol.215 , pp. 242
- Aharony, A.¹ Stauffer, D.²

31
- 0001029210
- 10.1103/PhysRevE.58.7642
- N. Schwartz, A. L. Nazaryev, and S. Havlin, Phys. Rev. E 58, 7642 (1998). 10.1103/PhysRevE.58.7642
- (1998) Phys. Rev. e , vol.58 , pp. 7642
- Schwartz, N.¹ Nazaryev, A.L.² Havlin, S.³

32
- 0035962947
- 10.1103/PhysRevLett.86.5076
- R. Dobrin and P. M. Duxbury, Phys. Rev. Lett. 86, 5076 (2001). 10.1103/PhysRevLett.86.5076
- (2001) Phys. Rev. Lett. , vol.86 , pp. 5076
- Dobrin, R.¹ Duxbury, P.M.²

33
- 0040968278
- 10.1103/PhysRevLett.76.3750
- A. L. Barabási, Phys. Rev. Lett. 76, 3750 (1996). 10.1103/PhysRevLett.76.3750
- (1996) Phys. Rev. Lett. , vol.76 , pp. 3750
- Barabási, A.L.¹

34
- 0000385072
- 10.1103/PhysRevB.61.14787
- A. A. Middleton, Phys. Rev. B 61, 14787 (2000). 10.1103/PhysRevB.61.14787
- (2000) Phys. Rev. B , vol.61 , pp. 14787
- Middleton, A.A.¹

35
- 37649027775
- 10.1103/PhysRevE.70.035102
- S. V. Buldyrev, S. Havlin, E. López, and H. E. Stanley, Phys. Rev. E 70, 035102 (R) (2004). 10.1103/PhysRevE.70.035102
- (2004) Phys. Rev. e , vol.70 , pp. 035102
- Buldyrev, S.V.¹ Havlin, S.² López, E.³ Stanley, H.E.⁴

36
- 4243182276
- 10.1103/PhysRevLett.76.3754
- M. Cieplak, A. Maritan, and J. R. Banavar, Phys. Rev. Lett. 76, 3754 (1996). 10.1103/PhysRevLett.76.3754
- (1996) Phys. Rev. Lett. , vol.76 , pp. 3754
- Cieplak, M.¹ Maritan, A.² Banavar, J.R.³

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.