TY - JOUR
T1 - Statistical mechanics of tethered surfaces
AU - Kantor, Yacov
AU - Kardar, Mehran
AU - Nelson, David R.
PY - 1986
Y1 - 1986
N2 - We study the statistical mechanics of two-dimensional surfaces of fixed connectivity embedded in d dimensions, as exemplified by hard spheres tethered together by strings into a triangular net. Without self-avoidance, entropy generates elastic interactions at large distances, and the radius of gyration RG increases as (lnL)12, where L is the linear size of the uncrumpled surface. With self-avoidance RG grows as L, with =4(d+2) as obtained from a Flory theory and in good agreement with our Monte Carlo results for d=3.
AB - We study the statistical mechanics of two-dimensional surfaces of fixed connectivity embedded in d dimensions, as exemplified by hard spheres tethered together by strings into a triangular net. Without self-avoidance, entropy generates elastic interactions at large distances, and the radius of gyration RG increases as (lnL)12, where L is the linear size of the uncrumpled surface. With self-avoidance RG grows as L, with =4(d+2) as obtained from a Flory theory and in good agreement with our Monte Carlo results for d=3.
UR - http://www.scopus.com/inward/record.url?scp=25544466244&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.57.791
DO - 10.1103/PhysRevLett.57.791
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AN - SCOPUS:25544466244
SN - 0031-9007
VL - 57
SP - 791
EP - 794
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
ER -