Suppressing roughness of virtual times in parallel discrete-event simulations (2008)
G. Korniss, M. A. Novotny, H. Guclu, Z. Toroczkai, P. A. Rikvold
In a parallel discrete-event simulation (PDES) scheme, tasks are distributed among processing elements (PEs) whose progress is controlled by a synchronization scheme.For lattice systems with...
Using relaxational dynamics to reduce network congestion (2008)
La Rocca, C. E., Toroczkai, Z., Braunstein, L. A., Macri, P. A., Lopez, E.
We study the effects of relaxational dynamics on congestion pressure in scale free networks by analyzing the properties of the corresponding gradient networks (Z. Toroczkai, K. E. Bassler, Nature...
Going through Rough Times: from Non-Equilibrium Surface Growth to Algorithmic Scalability (2007)
G. Korniss, M. A. Novotny, P. A. Rikvold, H. Guclu, Z. Toroczkai
Efficient and faithful parallel simulation of large asynchronous systems is a challenging computational problem. It requires using the concept of local simulated times and a synchronization scheme....
Proximity Networks and Epidemics (2007)
Disease spread in most biological populations requires the proximity of agents. In populations where the individuals have spatial mobility, the contact graph is generated by the "collision dynamics"...
Extreme fluctuations in noisy task-completion landscapes on scale-free networks (2007)
Guclu, H., Korniss, G., Toroczkai, Z.
We study the statistics and scaling of extreme fluctuations in noisy task-completion landscapes, such as those emerging in synchronized distributed-computing networks, or generic causally-constrained...
Synchronization Landscapes in Small-World-Connected Computer Networks (2006)
Guclu, H., Korniss, G., Novotny, M. A., Toroczkai, Z., Racz, Z.
Motivated by a synchronization problem in distributed computing we studied a simple growth model on regular and small-world networks, embedded in one and two-dimensions. We find that the...
Universality in active chaos (2004)
Tel, T., Nishikawa, T., Motter, A. E., Grebogi, C., Toroczkai, Z.
Virtual Time Horizon Control via Communication Network Design (2003)
Toroczkai, Z., Korniss, G., Novotny, M. A., Guclu, H.
We consider massively parallel discrete event simulations where the communication topology among the processing elements is a complex graph. In the case of regular topologies we review recent results...
Suppressing Roughness of Virtual Times in Parallel Discrete-Event Simulations (2003)
Korniss, G., Novotny, M. A., Guclu, H., Toroczkai, Z., Rikvold, P. A.
In a parallel discrete-event simulation (PDES) scheme, tasks are distributed among processing elements (PEs), whose progress is controlled by a synchronization scheme. For lattice systems with...
Going through Rough Times: from Non-Equilibrium Surface Growth to Algorithmic Scalability (2001)
Korniss, G., Novotny, M. A., Rikvold, P. A., Guclu, H., Toroczkai, Z.
Efficient and faithful parallel simulation of large asynchronous systems is a challenging computational problem. It requires using the concept of local simulated times and a synchronization scheme....
On the topological classification of binary trees using the Horton-Strahler index (2001)
The Horton-Strahler (HS) index $r=\max{(i,j)}+\delta_{i,j}$ has been shown to be relevant to a number of physical (such at diffusion limited aggregation) geological (river networks), biological...
Competing Populations in Flows with Chaotic Mixing (2001)
Scheuring, I., Karolyi, G., Toroczkai, Z., Tel, T., Pentek, A.
We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with chaotic mixing...
Sarma, S. Das, Chatraphorn, P. Punyindu, Toroczkai, Z.
We investigate, using the noise reduction technique, the asymptotic universality class of the well-studied nonequilibrium limited mobility atomistic solid-on-solid surface growth models introduced by...
Toroczkai, Z., Karolyi, G., Pentek, A., Tel, T
We investigate the effects of hyperbolic hydrodynamical mixing on the reaction kinetics of autocatalytic systems. Exact results are derived for the two dimensional open baker map as an underlying...
Epitaxial mounding in limited mobility models of surface growth (2001)
Punyindu, P., Toroczkai, Z., Sarma, S. Das
We study, through large scale stochastic simulations using the noise reduction technique, a large number of simple nonequilibrium limited mobility solid-on-solid growth models. We find that d=2+1...
Nonuniversal mound formation in nonequilibrium surface growth (2000)
Sarma, S. Das, Punyindu, P., Toroczkai, Z.
We demonstrate, using well-established nonequilibrium limited-mobility solid-on-solid growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply the...
Korniss, G., Novotny, M. A., Toroczkai, Z., Rikvold, P. A.
The scalability of massively parallel algorithms is a fundamental question in computer science. We study the scalability and the efficiency of a conservative massively parallel algorithm for...
Extremal-point Densities of Interface Fluctuations (2000)
Toroczkai, Z., Korniss, G., Sarma, S. Das, Zia, R. K. P.
We introduce and investigate the stochastic dynamics of the density of local extrema (minima and maxima) of non-equilibrium surface fluctuations. We give a number of exact, analytic results for...
Korniss, G., Toroczkai, Z., Novotny, M. A., Rikvold, P. A.
We study the asymptotic scaling properties of a massively parallel algorithm for discrete-event simulations where the discrete events are Poisson arrivals. The evolution of the simulated time horizon...
Sarma, S. Das, Punyindu, P., Toroczkai, Z.
We demonstrate, using well-established nonequilibrium growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply a surface edge diffusion bias (the...
Sign-time distributions for interface growth (1998)
Toroczkai, Z., Newman, T. J., Sarma, S. Das
We apply the recently introduced distribution of sign-times (DST) to non-equilibrium interface growth dynamics. We are able to treat within a unified picture the persistence properties of a large...
Chemical or Biological Activity in Open Chaotic Flows (1998)
Karolyi, Gy., Pentek, A., Toroczkai, Z., Tel, T., Grebogi, C.
We investigate the evolution of particle ensembles in open chaotic hydrodynamical flows. Active processes of the type A+B --> 2B and A+B --> 2C are considered in the limit of weak diffusion. As an...
The Brownian Vacancy Driven Walk (1998)
We investigate the lattice walk performed by a tagged member of an infinite `sea' of particles filling a d-dimensional lattice, in the presence of a Brownian vacancy. Particle-particle exchange is...
Random Walk with a Hop-Over Site: A Novel Approach to Tagged Diffusion and Its Applications (1998)
We study, on a $d$ dimensional hypercubic lattice, a random walk which is homogeneous except for one site. Instead of visiting this site, the walker hops over it with arbitrary rates. The probability...
Diffusive persistence and the `sign-time' distribution (1998)
We present a new method for extracting the persistence exponent theta for the diffusion equation, based on the distribution P of `sign-times'. With the aid of a numerically verified Ansatz for P we...
Brownian-Vacancy Mediated Disordering Dynamics (1997)
Toroczkai, Z., Korniss, G., Schmittmann, B., Zia, R. K. P.
The disordering of an initially phase segregated system of finite size, induced by the presence of highly mobile vacancies, is shown to exhibit dynamic scaling in its late stages. A set of...
Stabilizing chaotic vortex trajectories: an example of high-dimensional control (1996)
Pentek, A., Kadtke, J. B., Toroczkai, Z.
A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes knowledge of the model equations and a small number of...
Periodic One-Dimensional Hopping Model with one Mobile Directional Impurity (1996)
Analytic solution is given in the steady state limit for the system of Master equations describing a random walk on one-dimensional periodic lattices with arbitrary hopping rates containing one...