Showing 2002 · cond-mat.stat-mechShow all

21 papers · 2 filters

cond-mat.stat-mech2002★ 199 cited

Bifurcations and Patterns in Compromise Processes

E. Ben-Naim, P. L. Krapivsky, S. Redner

We study an opinion dynamics model in which agents reach compromise via pairwise interactions. When the opinions of two agents are sufficiently close, they both acquire the average…

cond-mat.stat-mech2002★ 17 cited

Soliton Ratchets Induced by Excitation of Internal Modes

C. R. Willis, M. Farzaneh

Recently Flach et.al. used a symmetry analysis to predict the appearance of directed energy current in homogeneously spatially extended systems coupled to a heat bath in the presen…

cond-mat.stat-mech2002★ 1 cited

Orientational order in Deposits of Magnetic Particles

J. M. Tavares, M. Tasinkevych, F. de los Santos +1

We present preliminary results for the orientational order in deposits of dipolar particles, on one dimensional substrates. The deposits are generated using a model where the incom…

cond-mat.stat-mech2002★ 24 cited

Ordering of Random Walks: The Leader and the Laggard

D. ben-Avraham, B. M. Johnson, C. A. Monaco +2

We investigate two complementary problems related to maintaining the relative positions of N random walks on the line: (i) the leader problem, that is, the probability {\cal L}_N(t…

cond-mat.stat-mech2002★ 152 cited

Freezing and Slow Evolution in a Constrained Opinion Dynamics Model

F. Vazquez, P. L. Krapivsky, S. Redner

We study opinion formation in a population that consists of leftists, centrists, and rightist. In an interaction between neighboring agents, a centrist and a leftist can become bot…

cond-mat.stat-mech2002★ 128 cited

Finiteness and Fluctuations in Growing Networks

P. L. Krapivsky, S. Redner

We study the role of finiteness and fluctuations about average quantities for basic structural properties of growing networks. We first determine the exact degree distribution of f…

cond-mat.stat-mech2002★ 17 cited

Growth and Structure of Stochastic Sequences

E. Ben-Naim, P. L. Krapivsky

We introduce a class of stochastic integer sequences. In these sequences, every element is a sum of two previous elements, at least one of which is chosen randomly. The interplay b…

cond-mat.stat-mech2002★ 58 cited

Statistics of Lead Changes in Popularity-Driven Systems

P. L. Krapivsky, S. Redner

We study statistical properties of the highest degree, or most popular, nodes in growing networks. We show that the number of lead changes increases logarithmically with network si…

cond-mat.stat-mech2002★ 31 cited

Minimal Brownian Ratchet: An Exactly Solvable Model

Youngki Lee, Andrew Allison, Derek Abbott +1

We develop an exactly-solvable three-state discrete-time minimal Brownian ratchet (MBR), where the transition probabilities between states are asymmetric. By solving the master equ…

cond-mat.stat-mech2002

Kinetic Theory of Traffic Flows

E. Ben-Naim, P. L. Krapivsky

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidd…

cond-mat.stat-mech2002

Synchronization and Coarsening (without SOC) in a Forest-Fire Model

K. E. Chan, P. L. Krapivsky, S. Redner

We study the long-time dynamics of a forest-fire model with deterministic tree growth and instantaneous burning of entire forests by stochastic lightning strikes. Asymptotically th…

cond-mat.stat-mech2002★ 131 cited

The continuum percolation threshold for interpenetrating squares and cubes

Don R. Baker, Gerald Paul, Sameet Sreenivasan +1

Monte Carlo simulations are performed to determine the critical percolation threshold for interpenetrating square objects in two dimensions and cubic objects in three dimensions. S…

cond-mat.stat-mech2002★ 10 cited

Fractal Behavior of the Shortest Path Between Two Lines in Percolation Systems

Gerald Paul, Shlomo Havlin, H. Eugene Stanley

Using Monte-Carlo simulations, we determine the scaling form for the probability distribution of the shortest path, , between two lines in a 3-dimensional percolation system…

cond-mat.stat-mech2002★ 180 cited

Infinite-Order Percolation and Giant Fluctuations in a Protein Interaction Network

J. Kim, P. L. Krapivsky, B. Kahng +1

We investigate a model protein interaction network whose links represent interactions between individual proteins. This network evolves by the functional duplication of proteins, s…

cond-mat.stat-mech2002★ 24 cited

Impurity in a Granular Fluid

E. Ben-Naim, P. L. Krapivsky

We investigate velocity statistics of an impurity immersed in a uniform granular fluid. An analytic solution of the inelastic Maxwell model shows that a phase transition occurs in…

cond-mat.stat-mech2002★ 72 cited

Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision Processes

E. Ben-Naim, P. L. Krapivsky

We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in…

cond-mat.stat-mech2002★ 8 cited

Beyond Blobs in Percolation Cluster Structure: The Distribution of 3-Blocks at the Percolation Threshold

Gerald Paul, H. Eugene Stanley

The incipient infinite cluster appearing at the bond percolation threshold can be decomposed into singly-connected ``links'' and multiply-connected ``blobs.'' Here we decompose blo…

cond-mat.stat-mech2002★ 172 cited

Nonlinearity and Multifractality of Climate Change in the Past 420,000 Years

Yosef Ashkenazy, Don R. Baker, Hezi Gildor +1

Evidence of past climate variations are stored in ice and indicate glacial-interglacial cycles characterized by three dominant time periods of 20kyr, 40kyr, and 100kyr. We study th…

cond-mat.stat-mech2002★ 224 cited

Truncation of power law behavior in "scale-free" network models due to information filtering

Stefano Mossa, Marc Barthelemy, H. Eugene Stanley +1

We formulate a general model for the growth of scale-free networks under filtering information conditions--that is, when the nodes can process information about only a subset of th…

cond-mat.stat-mech2002

Translational and Rotational Diffusion in Stretched Water

P. A. Netz, F. Starr, M. C. Barbosa +1

We perform molecular dynamics simulations using the extended simple point charge SPC/E water model in order to investigate the dynamical behavior of supercooled-stretched water. We…

cond-mat.stat-mech2002

Dynamic Properties of Stretched Water

P. A. Netz, F. Starr, H. Eugene Stanley +1

We investigate the dynamics of the extended simple point charge (SPC/E) model of water in the supercooled region. The dynamics at negative pressures show a minimum in the diffusion…