메뉴 건너뛰기




Volumn 77, Issue 5, 2008, Pages

Penetrable square-well fluids: Exact results in one dimension

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DENSITY (SPECIFIC GRAVITY); FLUID DYNAMICS; SOLVENTS; THERMODYNAMIC STABILITY;

EID: 44149108199     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.051206     Document Type: Article
Times cited : (38)

References (38)
  • 2
    • 0000944333 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(00)00141-1
    • C. N. Likos, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00141-1 348, 267 (2001).
    • (2001) Phys. Rep. , vol.348 , pp. 267
    • Likos, C.N.1
  • 3
    • 0001242029 scopus 로고
    • JOPQAG 0302-0738 10.1051/jphys:0198900500100126700
    • C. Marquest and T. A. Witten, J. Phys. (France) JOPQAG 0302-0738 10.1051/jphys:0198900500100126700 50, 1267 (1989).
    • (1989) J. Phys. (France) , vol.50 , pp. 1267
    • Marquest, C.1    Witten, T.A.2
  • 4
    • 33244463467 scopus 로고    scopus 로고
    • JCPSA6 0021-9606 10.1063/1.2166385
    • Al. Malijevský and A. Santos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2166385 124, 074508 (2006).
    • (2006) J. Chem. Phys. , vol.124 , pp. 074508
    • Malijevský, Al.1    Santos, A.2
  • 6
    • 0001239438 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.450034
    • N. A. Seaton and E. D. Glandt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.450034 84, 4595 (1986).
    • (1986) J. Chem. Phys. , vol.84 , pp. 4595
    • Seaton, N.A.1    Glandt, E.D.2
  • 7
    • 5344276034 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01048029
    • S. B. Yuste and A. Santos, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01048029 72, 703 (1993).
    • (1993) J. Stat. Phys. , vol.72 , pp. 703
    • Yuste, S.B.1    Santos, A.2
  • 8
    • 2942585524 scopus 로고    scopus 로고
    • FPEQDT 0378-3812 10.1016/j.fluid.2004.02.018
    • M. Heying and D. S. Corti, Fluid Phase Equilib. FPEQDT 0378-3812 10.1016/j.fluid.2004.02.018 220, 85 (2004).
    • (2004) Fluid Phase Equilib. , vol.220 , pp. 85
    • Heying, M.1    Corti, D.S.2
  • 9
    • 36149012094 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.50.955
    • E. Tonks, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.50.955 50, 955 (1936).
    • (1936) Phys. Rev. , vol.50 , pp. 955
    • Tonks, E.1
  • 11
    • 0000226084 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.57.4211
    • D. S. Corti and P. G. Debenedetti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.4211 57, 4211 (1998).
    • (1998) Phys. Rev. e , vol.57 , pp. 4211
    • Corti, D.S.1    Debenedetti, P.G.2
  • 12
    • 0000677930 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1675348
    • J. L. Lebowitz and D. Zomick, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1675348 54, 3335 (1971).
    • (1971) J. Chem. Phys. , vol.54 , pp. 3335
    • Lebowitz, J.L.1    Zomick, D.2
  • 13
    • 37249017611 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.76.062201
    • A. Santos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.062201 76, 062201 (2007).
    • (2007) Phys. Rev. e , vol.76 , pp. 062201
    • Santos, A.1
  • 16
    • 44149124422 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Trieste
    • R. Fantoni, Ph.D. thesis, University of Trieste, 2003 (unpublished).
    • (2003)
    • Fantoni, R.1
  • 17
    • 44149121115 scopus 로고    scopus 로고
    • It may be useful to stress that in quantum statistical mechanics the condition of impenetrability in a one-dimensional fluid with periodic boundary conditions is responsible for the impossibility to treat the particles just as fermions or bosons but one necessarily has to introduce the anyonic fractional statistics. In classical statistical mechanics the change in the topology of phase space does not have such a dramatic consequence.
    • It may be useful to stress that in quantum statistical mechanics the condition of impenetrability in a one-dimensional fluid with periodic boundary conditions is responsible for the impossibility to treat the particles just as fermions or bosons but one necessarily has to introduce the anyonic fractional statistics. In classical statistical mechanics the change in the topology of phase space does not have such a dramatic consequence.
  • 18
    • 33846873040 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.75.021201
    • A. Santos and Al. Malijevský, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.021201 75, 021201 (2007).
    • (2007) Phys. Rev. e , vol.75 , pp. 021201
    • Santos, A.1    Malijevský, Al.2
  • 19
    • 36849104743 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1704928
    • M. E. Fisher and D. Ruelle, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704928 7, 260 (1966).
    • (1966) J. Math. Phys. , vol.7 , pp. 260
    • Fisher, M.E.1    Ruelle, D.2
  • 21
    • 36849104022 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1673203
    • B. Widom and J. S. Rowlinson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673203 52, 1670 (1970).
    • (1970) J. Chem. Phys. , vol.52 , pp. 1670
    • Widom, B.1    Rowlinson, J.S.2
  • 22
    • 0011465422 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.447497
    • S. Torquato, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447497 81, 5079 (1984).
    • (1984) J. Chem. Phys. , vol.81 , pp. 5079
    • Torquato, S.1
  • 23
    • 0022160743 scopus 로고
    • JCISA5 0021-9797 10.1016/0021-9797(85)90246-2
    • P. A. Rikvold and G. Stell, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(85)90246-2 108, 158 (1985)
    • (1985) J. Colloid Interface Sci. , vol.108 , pp. 158
    • Rikvold, P.A.1    Stell, G.2
  • 24
    • 36549096365 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.448966
    • P. A. Rikvold and G. Stell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448966 82, 1014 (1985).
    • (1985) J. Chem. Phys. , vol.82 , pp. 1014
    • Rikvold, P.A.1    Stell, G.2
  • 25
    • 0034516454 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.62.7961
    • A. A. Louis, P. G. Bolhuis, and J. P. Hansen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7961 62, 7961 (2000).
    • (2000) Phys. Rev. e , vol.62 , pp. 7961
    • Louis, A.A.1    Bolhuis, P.G.2    Hansen, J.P.3
  • 26
  • 27
    • 36849104120 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1670482
    • R. J. Baxter, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670482 49, 2770 (1968).
    • (1968) J. Chem. Phys. , vol.49 , pp. 2770
    • Baxter, R.J.1
  • 29
    • 0000375993 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01030007
    • G. Stell, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01030007 63, 1203 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 1203
    • Stell, G.1
  • 30
    • 0042808974 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.1741874
    • R. Kikuchi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1741874 23, 2327 (1955).
    • (1955) J. Chem. Phys. , vol.23 , pp. 2327
    • Kikuchi, R.1
  • 33
    • 44149091377 scopus 로고    scopus 로고
    • Note that the cancellation of these three singularities does not occur in the HNC approximation, where y 2D (SHS) (r) is neglected. In the PY approximation both y 2C (SHS) (r) and y 2D (SHS) (r) are neglected, so that the singularities (i) and (ii) persist.
    • Note that the cancellation of these three singularities does not occur in the HNC approximation, where y 2D (SHS) (r) is neglected. In the PY approximation both y 2C (SHS) (r) and y 2D (SHS) (r) are neglected, so that the singularities (i) and (ii) persist.
  • 34
    • 1542269001 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2004.02.039
    • L. Acedo and A. Santos, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.02.039 323, 427 (2004).
    • (2004) Phys. Lett. A , vol.323 , pp. 427
    • Acedo, L.1    Santos, A.2
  • 35
    • 2542535189 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/B:JOSS.0000022373.63640.4e
    • J. A. Cuesta and A. Sánchez, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000022373.63640.4e 115, 869 (2004).
    • (2004) J. Stat. Phys. , vol.115 , pp. 869
    • Cuesta, J.A.1    Sánchez, A.2
  • 36
    • 34047183996 scopus 로고    scopus 로고
    • MOPHAM 0026-8976 10.1080/00268970600968011
    • A. Santos, Mol. Phys. MOPHAM 0026-8976 10.1080/00268970600968011 104, 3411 (2006).
    • (2006) Mol. Phys. , vol.104 , pp. 3411
    • Santos, A.1
  • 37
    • 0000097660 scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.23.829
    • T. Morita, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.23.829 23, 829 (1960)
    • (1960) Prog. Theor. Phys. , vol.23 , pp. 829
    • Morita, T.1
  • 38
    • 51149205918 scopus 로고
    • see also RMPHAT 0034-6861 10.1103/RevModPhys.48.587
    • see also J. A. Barker and D. Henderson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.48.587 48, 587 (1976).
    • (1976) Rev. Mod. Phys. , vol.48 , pp. 587
    • Barker, J.A.1    Henderson, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.