-
8
-
-
0022319761
-
-
D. Adler, H. Fritzsche, S. Ovishinsky, Plenum, New York
-
M. F. Thorpe, Physics of Disordered Materials, edited by D. Adler, H. Fritzsche, and S. Ovishinsky (Plenum, New York, 1985).
-
(1985)
Physics of Disordered Materials
-
-
Thorpe, M.F.1
-
10
-
-
0001371308
-
-
S. Feng, P. Sen, B. Halperin, and C. Lobb, Phys. Rev. B 30, 5386 (1984).
-
(1984)
Phys. Rev. B
, vol.30
, pp. 5386
-
-
Feng, S.1
Sen, P.2
Halperin, B.3
Lobb, C.4
-
24
-
-
0012573707
-
-
E. Guyon, S. Roux, A. Hansen, D. Bideau, J.-P. Troadec and H. Crapo, Rep. Prog. Phys. 53, 373 (1990).
-
(1990)
Rep. Prog. Phys.
, vol.53
, pp. 373
-
-
Guyon, E.1
Roux, S.2
Hansen, A.3
Bideau, D.4
Troadec, J.-P.5
Crapo, H.6
-
29
-
-
0003482379
-
-
M. F. Thorpe, P. M. Duxbury, Plenum, New York
-
B. Joós, M. Plischke, D. C. Vernon, and Z. Zhou, in Rigidity Theory and Applications, edited by M. F. Thorpe and P. M. Duxbury (Plenum, New York, 1998).
-
(1998)
Rigidity Theory and Applications
-
-
Joós, B.1
Plischke, M.2
Vernon, D.C.3
Zhou, Z.4
-
30
-
-
85037213540
-
-
We refer in this paper to “infinitesimal rigidity” as rigidity for short. Infinitesimal rigidity is a stronger condition than rigidity, and implies that no transformation, even an infinitesimal one, leaves all bar lengths invariant. See, e.g., Refs. 272830
-
We refer in this paper to “infinitesimal rigidity” as rigidity for short. Infinitesimal rigidity is a stronger condition than rigidity, and implies that no transformation, even an infinitesimal one, leaves all bar lengths invariant. See, e.g., Refs. 272830.
-
-
-
-
47
-
-
0346023387
-
-
A. K. Dewney, Sci. Am. 264 (5), 126 (1991).
-
(1991)
Sci. Am.
, vol.264
, Issue.5
, pp. 126
-
-
Dewney, A.K.1
-
48
-
-
85037191273
-
-
The Maxwell approximation consists of ignoring the existence of redundant bonds, i.e., assuming that each present bond eliminates one degree of freedom from a total of (Formula presented) The critical concentration is then obtained by equating (Formula presented) to zero
-
The Maxwell approximation consists of ignoring the existence of redundant bonds, i.e., assuming that each present bond eliminates one degree of freedom from a total of (Formula presented) The critical concentration is then obtained by equating (Formula presented) to zero.
-
-
-
-
52
-
-
0000794168
-
-
P. M. Duxbury, D. Jacobs, M. F. Thorpe, and C. Moukarzel, Phys. Rev. E 59, 2084 (1999).
-
(1999)
Phys. Rev. E
, vol.59
, pp. 2084
-
-
Duxbury, P.M.1
Jacobs, D.2
Thorpe, M.F.3
Moukarzel, C.4
-
54
-
-
85037203610
-
-
We define the mass of the backbone as the number of bonds belonging to it. It is not correct to count sites in rigidity percolation, since they can simultaneously belong to several rigid clusters
-
We define the mass of the backbone as the number of bonds belonging to it. It is not correct to count sites in rigidity percolation, since they can simultaneously belong to several rigid clusters.
-
-
-
-
56
-
-
85037234744
-
-
The randomly braced square lattice model has an extensive number of cutting bonds, but (Formula presented) Therefore it apparently violates Coniglio’s relation. The explanation is that (Formula presented) only holds for the number of diagonals that are cutting bonds. There are, in addition to those, the cutting bonds which belong to the square lattice substrate, and these are (Formula presented) The reason for a completely first-order transition in this model is therefore the existence of a homogeneous, almost rigid, substrate; the square lattice, which provides an extensive number of cutting bonds
-
The randomly braced square lattice model has an extensive number of cutting bonds, but (Formula presented) Therefore it apparently violates Coniglio’s relation. The explanation is that (Formula presented) only holds for the number of diagonals that are cutting bonds. There are, in addition to those, the cutting bonds which belong to the square lattice substrate, and these are (Formula presented) The reason for a completely first-order transition in this model is therefore the existence of a homogeneous, almost rigid, substrate; the square lattice, which provides an extensive number of cutting bonds.
-
-
-
|