메뉴 건너뛰기




Volumn 74, Issue 5, 2006, Pages

Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DIFFUSION; ELEMENTARY PARTICLES; KINETIC ENERGY; MICROSCOPIC EXAMINATION; NONLINEAR EQUATIONS; RANDOM PROCESSES; WHITE NOISE;

EID: 33750717221     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.051106     Document Type: Article
Times cited : (34)

References (68)
  • 1
    • 31144476588 scopus 로고    scopus 로고
    • CHAOEH. 1054-1500. 10.1063/1.1895505
    • P. Hänggi and F. Marchesoni, Chaos CHAOEH 1054-1500 10.1063/1.1895505 15, 026101 (2005).
    • (2005) Chaos , vol.15 , pp. 026101
    • Hänggi, P.1    Marchesoni, F.2
  • 2
    • 0000472452 scopus 로고
    • ANPYA2 0003-3804
    • A. Einstein, Ann. Phys. ANPYA2 0003-3804 17, 549 (1905).
    • (1905) Ann. Phys. , vol.17 , pp. 549
    • Einstein, A.1
  • 3
    • 33750741752 scopus 로고    scopus 로고
    • 3rd. ed. Abhandlungen über die Brownsche Bewegung und verwandte Erscheinungen Vol. Harri Deutsch, Frankfurt
    • A. Einstein and M. von Smoluchowski, Untersuchungen über die Theorie der Brownschen Bewegung, 3rd. ed., Abhandlungen über die Brownsche Bewegung und verwandte Erscheinungen Vol. 199 (Harri Deutsch, Frankfurt, 1999).
    • (1999) Untersuchungen Über Die Theorie der Brownschen Bewegung , vol.199
    • Einstein, A.1    Von Smoluchowski, M.2
  • 4
    • 36149005118 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.36.823
    • G. E. Uhlenbeck and L. S. Ornstein, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.36.823 36, 823 (1930).
    • (1930) Phys. Rev. , vol.36 , pp. 823
    • Uhlenbeck, G.E.1    Ornstein, L.S.2
  • 5
    • 0002121327 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.15.1
    • S. Chandrasekhar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.15. 1 15, 1 (1943).
    • (1943) Rev. Mod. Phys. , vol.15 , pp. 1
    • Chandrasekhar, S.1
  • 6
    • 36149027699 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.17.323
    • M. C. Wang and G. E. Uhlenbeck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.17.323 17, 323 (1945).
    • (1945) Rev. Mod. Phys. , vol.17 , pp. 323
    • Wang, M.C.1    Uhlenbeck, G.E.2
  • 8
    • 23344452815 scopus 로고    scopus 로고
    • ANPYA2 0003-3804 10.1002/andp.200410132
    • E. Frey and K. Kroy, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410132 14, 20 (2005).
    • (2005) Ann. Phys. , vol.14 , pp. 20
    • Frey, E.1    Kroy, K.2
  • 9
    • 18744381056 scopus 로고    scopus 로고
    • ANPYA2. 0003-3804. 10.1002/andp.200410121
    • P. Hänggi, F. Marchesoni, and F. Nori, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410121 14, 51 (2005).
    • (2005) Ann. Phys. , vol.14 , pp. 51
    • Hänggi, P.1    Marchesoni, F.2    Nori, F.3
  • 10
    • 23244449513 scopus 로고    scopus 로고
    • ANPYA2. 0003-3804. 10.1002/andp.200410127
    • C. Lämmerzahl, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410127 14, 71 (2005).
    • (2005) Ann. Phys. , vol.14 , pp. 71
    • Lämmerzahl, C.1
  • 12
    • 4243064040 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.76.1166
    • R. Bartussek, P. Reimann, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1166 76, 1166 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1166
    • Bartussek, R.1    Reimann, P.2    Hänggi, P.3
  • 13
    • 33750721845 scopus 로고
    • Ph.D. thesis, Princeton University
    • G. Schay, Ph.D. thesis, Princeton University, 1961 (unpublished), University Microfilms, Ann Arbor, Michigan, https://wwwlib.umi.com
    • (1961)
    • Schay, G.1
  • 14
    • 33846665860 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1704685
    • R. Hakim, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704685 6, 1482 (1965).
    • (1965) J. Math. Phys. , vol.6 , pp. 1482
    • Hakim, R.1
  • 15
    • 84950352273 scopus 로고
    • AKMTAJ 0004-2080
    • R. M. Dudley, Ark. Mat. AKMTAJ 0004-2080 6, 241 (1965).
    • (1965) Ark. Mat. , vol.6 , pp. 241
    • Dudley, R.M.1
  • 17
    • 24544463068 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.19.1112
    • T. H. Boyer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.19.1112 19, 1112 (1979).
    • (1979) Phys. Rev. D , vol.19 , pp. 1112
    • Boyer, T.H.1
  • 18
    • 4243317295 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.23.1441
    • U. Ben-Ya'acov, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.23.1441 23, 1441 (1981).
    • (1981) Phys. Rev. D , vol.23 , pp. 1441
    • Ben-Ya'Acov, U.1
  • 19
    • 85037249698 scopus 로고    scopus 로고
    • PRVDAQ. 0556-2821. 10.1103/PhysRevD.62.023003
    • P. Kostädt and M. Liu, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.023003 62, 023003 (2000).
    • (2000) Phys. Rev. D , vol.62 , pp. 023003
    • Kostädt, P.1    Liu, M.2
  • 20
    • 27944504709 scopus 로고    scopus 로고
    • FNDPA4 0015-9018
    • D. L. Rapoport, Found. Phys. FNDPA4 0015-9018 35, 1205 (2005).
    • (2005) Found. Phys. , vol.35 , pp. 1205
    • Rapoport, D.L.1
  • 21
    • 41349106368 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.71.016124
    • J. Dunkel and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016124 71, 016124 (2005).
    • (2005) Phys. Rev. E , vol.71 , pp. 016124
    • Dunkel, J.1    Hänggi, P.2
  • 22
  • 24
    • 3543059514 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1755860
    • F. Debbasch, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1755860 45, 2744 (2004).
    • (2004) J. Math. Phys. , vol.45 , pp. 2744
    • Debbasch, F.1
  • 25
    • 27244460228 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.72.026135
    • T. Koide, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026135 72, 026135 (2005).
    • (2005) Phys. Rev. E , vol.72 , pp. 026135
    • Koide, T.1
  • 26
    • 1842865025 scopus 로고    scopus 로고
    • PRVCAN 0556-2813 10.1103/PhysRevC.69.024906
    • G. Wolschin, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.69.024906 69, 024906 (2004).
    • (2004) Phys. Rev. C , vol.69 , pp. 024906
    • Wolschin, G.1
  • 27
    • 24344470973 scopus 로고    scopus 로고
    • PYLAAG 0375-9601
    • R. Zygadlo, Phys. Lett. A PYLAAG 0375-9601 345, 323 (2005).
    • (2005) Phys. Lett. A , vol.345 , pp. 323
    • Zygadlo, R.1
  • 28
    • 28844440872 scopus 로고    scopus 로고
    • PLEEE8. 1063-651X. 10.1103/PhysRevE.72.036106
    • J. Dunkel and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036106 72, 036106 (2005).
    • (2005) Phys. Rev. E , vol.72 , pp. 036106
    • Dunkel, J.1    Hänggi, P.2
  • 29
    • 21844491001 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.531333
    • L. M. Morato and L. Viola, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531333 36, 4691 (1995);
    • (1995) J. Math. Phys. , vol.36 , pp. 4691
    • Morato, L.M.1    Viola, L.2
  • 30
    • 33646984665 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.531631
    • L. M. Morato and L. Viola, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531631 37, 4769 (E) (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 4769
    • Morato, L.M.1    Viola, L.2
  • 31
    • 0039487462 scopus 로고    scopus 로고
    • LMPHDY 0377-9017 10.1023/A:1007312623531
    • A. Posilicano, Lett. Math. Phys. LMPHDY 0377-9017 10.1023/A:1007312623531 42, 85 (1997).
    • (1997) Lett. Math. Phys. , vol.42 , pp. 85
    • Posilicano, A.1
  • 32
    • 0031205993 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/B:JOSS.0000015180.16261.53
    • F. Debbasch, K. Mallick, and J. P. Rivet, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000015180.16261.53 88, 945 (1997).
    • (1997) J. Stat. Phys. , vol.88 , pp. 945
    • Debbasch, F.1    Mallick, K.2    Rivet, J.P.3
  • 33
    • 33750705106 scopus 로고    scopus 로고
    • cond-mat/0601303.
    • A. Fingerle, e-print cond-mat/0601303.
    • Fingerle, A.1
  • 34
    • 33750256413 scopus 로고    scopus 로고
    • BJPHE6 0103-9733
    • K. S. Fa, Braz. J. Phys. BJPHE6 0103-9733 36, 777 (2006).
    • (2006) Braz. J. Phys. , vol.36 , pp. 777
    • Fa, K.S.1
  • 35
    • 10044264300 scopus 로고    scopus 로고
    • PRVCAN 0556-2813 10.1103/PhysRevC.70.034905
    • M. Abdel-Aziz and S. Gavin, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.70.034905 70, 034905 (2004).
    • (2004) Phys. Rev. C , vol.70 , pp. 034905
    • Abdel-Aziz, M.1    Gavin, S.2
  • 37
    • 33645464255 scopus 로고    scopus 로고
    • PRVCAN 0556-2813 10.1103/PhysRevC.73.034913
    • H. van Hees, V. Greco, and R. Rapp, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.034913 73, 034913 (2006).
    • (2006) Phys. Rev. C , vol.73 , pp. 034913
    • Van Hees, H.1    Greco, V.2    Rapp, R.3
  • 39
    • 33646360857 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/8/3/040
    • M. E. Dieckmann, L. Drury, and P. K. Shukla, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/3/040 8, 40 (2006).
    • (2006) New J. Phys. , vol.8 , pp. 40
    • Dieckmann, M.E.1    Drury, L.2    Shukla, P.K.3
  • 40
    • 33750729754 scopus 로고    scopus 로고
    • Proceedings of the 32nd European Physical Society Conference on Plasma Physics, Rome
    • M. Marti, R. A. Fonseca, and L. O. Silva, in Proceedings of the 32nd European Physical Society Conference on Plasma Physics, Rome, 2006 (unpublished).
    • (2006)
    • Marti, M.1    Fonseca, R.A.2    Silva, L.O.3
  • 42
    • 33644620781 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.2165771
    • E. Lehmann, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2165771 47, 023303 (2006).
    • (2006) J. Math. Phys. , vol.47 , pp. 023303
    • Lehmann, E.1
  • 43
    • 36149016403 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.21.425
    • J. A. Wheeler and R. P. Feynman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.21.425 21, 425 (1949).
    • (1949) Rev. Mod. Phys. , vol.21 , pp. 425
    • Wheeler, J.A.1    Feynman, R.P.2
  • 44
  • 45
    • 4243349691 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.18.1887
    • A. Komar, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.18.1887 18, 1887 (1978).
    • (1978) Phys. Rev. D , vol.18 , pp. 1887
    • Komar, A.1
  • 49
    • 18844402460 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01008729
    • R. Zwanzig, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01008729 9, 215 (1973).
    • (1973) J. Stat. Phys. , vol.9 , pp. 215
    • Zwanzig, R.1
  • 50
    • 0000508219 scopus 로고
    • edited by W. Gans, A. Blumen, and A. Amann, NATO Advanced Studies Institute, Series B: Physics (Plenum, New York
    • P. Pechukas, in Large-Scale Molecular Systems, edited by, W. Gans, A. Blumen, and, A. Amann, NATO Advanced Studies Institute, Series B: Physics (Plenum, New York, 1991), Vol. 258, p. 123.
    • (1991) Large-Scale Molecular Systems , vol.258 , pp. 123
    • Pechukas, P.1
  • 51
    • 0034205559 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.61.6171
    • S. Tsonchev and P. Pechukas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.6171 61, 6171 (2000).
    • (2000) Phys. Rev. E , vol.61 , pp. 6171
    • Tsonchev, S.1    Pechukas, P.2
  • 53
    • 4444239162 scopus 로고    scopus 로고
    • Lecture Notes in Physics Vol. Springer, Heidelberg
    • P. Hänggi, in Stochastic Dynamics, Lecture Notes in Physics Vol. 484 (Springer, Heidelberg, 1997), pp. 15-22.
    • (1997) Stochastic Dynamics , vol.484 , pp. 15-22
    • Hänggi, P.1
  • 54
    • 31144462179 scopus 로고    scopus 로고
    • CHAOEH. 1054-1500. 10.1063/1.1853631
    • P. Hänggi and G. L. Ingold, Chaos CHAOEH 1054-1500 10.1063/1.1853631 15, 026105 (2005).
    • (2005) Chaos , vol.15 , pp. 026105
    • Hänggi, P.1    Ingold, G.L.2
  • 55
    • 0347193736 scopus 로고
    • RMPHAT. 0034-6861. 10.1103/RevModPhys.62.251
    • P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.251 62, 251 (1990).
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 251
    • Hänggi, P.1    Talkner, P.2    Borkovec, M.3
  • 56
    • 49049141388 scopus 로고
    • PRPLCM. 0370-1573. 10.1016/0370-1573(82)90045-X
    • P. Hänggi and H. Thomas, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(82)90045-X 88, 207 (1982).
    • (1982) Phys. Rep. , vol.88 , pp. 207
    • Hänggi, P.1    Thomas, H.2
  • 60
    • 0001739440 scopus 로고
    • MAMCAU 0065-9266
    • K. Ito, Mem. Am. Math. Soc. MAMCAU 0065-9266 4, 51 (1951).
    • (1951) Mem. Am. Math. Soc. , vol.4 , pp. 51
    • Ito, K.1
  • 61
    • 33750681814 scopus 로고
    • Ph.D thesis, Dept. of Statistics, Michigan State University
    • D. Fisk, Ph.D thesis, Dept. of Statistics, Michigan State University, 1963 (unpublished).
    • (1963)
    • Fisk, D.1
  • 63
    • 0001736303 scopus 로고
    • SJCOA9 0036-1402 10.1137/0304028
    • R. L. Stratonovich, SIAM J. Control SJCOA9 0036-1402 10.1137/0304028 4, 362 (1966).
    • (1966) SIAM J. Control , vol.4 , pp. 362
    • Stratonovich, R.L.1
  • 64
    • 4243524698 scopus 로고
    • HPACAK. 0018-0238
    • P. Hänggi, Helv. Phys. Acta HPACAK 0018-0238 51, 183 (1978).
    • (1978) Helv. Phys. Acta , vol.51 , pp. 183
    • Hänggi, P.1
  • 65
    • 18244400219 scopus 로고
    • HPACAK. 0018-0238
    • P. Hänggi, Helv. Phys. Acta HPACAK 0018-0238 53, 491 (1980).
    • (1980) Helv. Phys. Acta , vol.53 , pp. 491
    • Hänggi, P.1
  • 66
    • 33745202687 scopus 로고
    • PHUSEY 1063-7869 10.1070/PU1994v037n08ABEH000038
    • Y. L. Klimontovich, Phys. Usp. PHUSEY 1063-7869 10.1070/ PU1994v037n08ABEH000038 37, 737 (1994).
    • (1994) Phys. Usp. , vol.37 , pp. 737
    • Klimontovich, Y.L.1
  • 67
    • 84973242902 scopus 로고
    • ANPYA2. 0003-3804
    • F. Jüttner, Ann. Phys. ANPYA2 0003-3804 34, 856 (1911).
    • (1911) Ann. Phys. , vol.34 , pp. 856
    • Jüttner, F.1
  • 68
    • 32544437091 scopus 로고
    • PLRAAN. 1050-2947. 10.1103/PhysRevA.25.1130
    • P. Hänggi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.1130 25, 1130 (1982).
    • (1982) Phys. Rev. A , vol.25 , pp. 1130
    • Hänggi, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.