TY - JOUR
T1 - Statistical Mechanics in Collective Coordinates
AU - Edwards, S. F.
AU - Schwartz, Moshe
PY - 2003/3
Y1 - 2003/3
N2 - We study the transformation of the statistical mechanics of N particles to the statistical mechanics of fields, that are the collective coordinates, describing the system. We give an explicit expression for the functional Fourier transform of the Jacobian of the transformation from particle to collective coordinate and derive the Fokker-Planck equation in terms of the collective coordinates. Simple approximations, leading to Debye-Huckel theory and to the hard sphere Percus-Yevick equation are discussed.
AB - We study the transformation of the statistical mechanics of N particles to the statistical mechanics of fields, that are the collective coordinates, describing the system. We give an explicit expression for the functional Fourier transform of the Jacobian of the transformation from particle to collective coordinate and derive the Fokker-Planck equation in terms of the collective coordinates. Simple approximations, leading to Debye-Huckel theory and to the hard sphere Percus-Yevick equation are discussed.
KW - Collective coordinates
KW - Fokker-Planck equation
KW - Jacobian
KW - Statistical mechanics
UR - http://www.scopus.com/inward/record.url?scp=0037277226&partnerID=8YFLogxK
U2 - 10.1023/A:1022191214859
DO - 10.1023/A:1022191214859
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AN - SCOPUS:0037277226
SN - 0022-4715
VL - 110
SP - 497
EP - 502
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3-6
ER -