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Showing 1997 · cond-mat.stat-mechShow all

15 papers · 2 filters

cond-mat.stat-mech1997★ 202 cited

Self-organized criticality as an absorbing-state phase transition

Ronald Dickman, Alessandro Vespignani, Stefano Zapperi

We explore the connection between self-organized criticality and phase transitions in models with absorbing states. Sandpile models are found to exhibit criticality only when a pai…

cond-mat.stat-mech1997★ 29 cited

Logarithmic Clustering in Submonolayer Epitaxial Growth

P. L. Krapivsky, J. F. F. Mendes, S. Redner

We investigate submonolayer epitaxial growth with a fixed monomer flux and irreversible aggregation of adatom islands due to their effective diffusion. When the diffusivity D_k of…

cond-mat.stat-mech1997★ 15 cited

Mean Field Theory of Polynuclear Surface Growth

E. Ben-Naim, A. R. Bishop, I. Daruka +1

We study statistical properties of a continuum model of polynuclear surface growth on an infinite substrate. We develop a self-consistent mean-field theory which is solved to deduc…

cond-mat.stat-mech1997★ 240 cited

Stochastic Feedback and the Regulation of Biological Rhythms

Plamen Ch. Ivanov, Luis A. N. Amaral, Ary Goldberger +1

We propose a general approach to the question of how biological rhythms spontaneously self-regulate, based on the concept of ``stochastic feedback''. We illustrate this approach by…

cond-mat.stat-mech1997★ 9 cited

Alternating Kinetics of Annihilating Random Walks Near a Free Interface

L. Frachebourg, P. L. Krapivsky, S. Redner

The kinetics of annihilating random walks in one dimension, with the half-line x>0 initially filled, is investigated. The survival probability of the nth particle from the interfac…

cond-mat.stat-mech1997★ 236 cited

How self-organized criticality works: A unified mean-field picture

Alessandro Vespignani, Stefano Zapperi

We present a unified mean-field theory, based on the single site approximation to the master-equation, for stochastic self-organized critical models. In particular, we analyze in d…

cond-mat.stat-mech1997★ 207 cited

Volatility distribution in the S&P500 Stock Index

Pierre Cizeau, Yanhui Liu, Martin Meyer +2

We study the volatility of the S&P500 stock index from 1984 to 1996 and find that the volatility distribution can be very well described by a log-normal function. Further, using de…

cond-mat.stat-mech1997★ 36 cited

Stationary Velocity Distributions in Traffic Flows

E. Ben-Naim, P. L. Krapivsky

We introduce a traffic flow model that incorporates clustering and passing. We obtain analytically the steady state characteristics of the flow from a Boltzmann-like equation. A si…

cond-mat.stat-mech1997★ 314 cited

Wealth Distributions in Models of Capital Exchange

S. Ispolatov, P. L. Krapivsky, S. Redner

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth…

cond-mat.stat-mech1997★ 269 cited

Power Law Scaling for a System of Interacting Units with Complex Internal Structure

L. A. N. Amaral, S. V. Buldyrev, S. Havlin +2

We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits. We consider the case in which each subunit grows in…

cond-mat.stat-mech1997★ 29 cited

Survival Probability in a Random Velocity Field

Sidney Redner

The time dependence of the survival probability, S(t), is determined for diffusing particles in two dimensions which are also driven by a random unidirectional zero-mean velocity f…

cond-mat.stat-mech1997★ 316 cited

Correlations in Economic Time Series

Yanhui Liu, Pierre Cizeau, Martin Meyer +2

The correlation function of a financial index of the New York stock exchange, the S&P 500, is analyzed at 1 min intervals over the 13-year period, Jan 84 -- Dec 96. We quantify the…

cond-mat.stat-mech1997★ 64 cited

Domain Statistics in Coarsening Systems

P. L. Krapivsky, E. Ben-Naim

We study the domain number and size distributions in the one-dimensional Ising and -state Potts models subject to zero-temperature Glauber dynamics. The survival probability of…

cond-mat.stat-mech1997★ 119 cited

Scaling behavior in economics: II. Modeling of company growth

S. V. Buldyrev, L. A. N. Amaral, S. Havlin +5

In the preceding paper we presented empirical results describing the growth of publicly-traded United States manufacturing firms within the years 1974--1993. Our results suggest th…

cond-mat.stat-mech1997

Scaling behavior in economics: I. Empirical results for company growth

L. A. N. Amaral, S. V. Buldyrev, S. Havlin +5

We address the question of the growth of firm size. To this end, we analyze the Compustat data base comprising all publicly-traded United States manufacturing firms within the year…