Coarsening of Precipitation Patterns in a Moving Reaction-Diffusion Front (2009)
Volford, A., Lagzi, I., Molnar Jr, F., Racz, Z.
Precipitation patterns emerging in a 2D moving front are investigated on the example of NaOH diffusing into a gel containing AlCl_3. The time evolution of the precipitate Al(OH)_3 can be observed...
Finite-size scaling in extreme statistics (2007)
Gyorgyi, G., Moloney, N. R., Ozogany, K., Racz, Z.
We study the convergence and shape correction to the limit distributions of extreme values due to the finite size (FS) of data sets. A renormalization method is introduced for the case of...
Extreme statistics for time series: Distribution of the maximum relative to the initial value (2007)
Burkhardt, T. W., Gyorgyi, G., Moloney, N. R., Racz, Z.
The extreme statistics of time signals is studied when the maximum is measured from the initial value. In the case of independent, identically distributed (iid) variables, we classify the limiting...
Maximal height statistics for 1/f^alpha signals (2006)
Gyorgyi, G., Moloney, N. R., Ozogany, K., Racz, Z.
Numerical and analytical results are presented for the maximal relative height distribution of stationary periodic Gaussian signals (one dimensional interfaces) displaying a 1/f^alpha power spectrum....
Eisler, V., Legeza, O., Racz, Z.
The zero-temperature XX chain is studied with emphasis on the properties of a block of $L$ spins inside the chain. We investigate the quantum fluctuations resulting from the entanglement of the block...
Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition (2006)
O'Malley, L., Kozma, B., Korniss, G., Racz, Z., Caraco, T.
We study front propagation when an invading species competes with a resident; we assume nearest-neighbor preemptive competition for resources in an individual-based, two-dimensional lattice model....
O'Malley, L., Kozma, B., Korniss, G., Racz, Z., Caraco, T.
We consider an individual-based two-dimensional spatial model with nearest-neighbor preemptive competition to study front propagation between an invader and a resident species. In particular, we...
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...
On the velocity distributions of the one-dimensional inelastic gas (2005)
Barrat, A., Biben, T., Racz, Z., Trizac, E., Van Wijland, F.
We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in...
Formation of Liesegang patterns in the presence of an electric field (2005)
The effects of an external electric field on the formation of Liesegang patterns are investigated. The patterns are assumed to emerge from a phase separation process in the wake of a diffusive...
Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field (2004)
Bena, I., Coppex, F., Droz, M., Racz, Z.
We study the effects of an external electric field on both the motion of the reaction zone and the spatial distribution of the reaction product, $C$, in an irreversible $A^- +B^+ \to C$...
Dynamic scaling of fronts in the quantum XX chain (2003)
Hunyadi, V., Racz, Z., Sasvari, L.
The dynamics of the transverse magnetization in the zero-temperature XX chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed...
Finite-size scaling functions are investigated both for the mean-square magnetization fluctuations and for the probability distribution of the magnetization in the one-dimensional Ising model. The...
Statistics of extremal intensities for Gaussian interfaces (2003)
Gyorgyi, G., Holdsworth, P. C. W., Portelli, B., Racz, Z.
The extremal Fourier intensities are studied for stationary Edwards-Wilkinson-type, Gaussian, interfaces with power-law dispersion. We calculate the probability distribution of the maximal intensity...
Magnetization distribution in the transverse Ising chain with energy flux (2003)
Eisler, V., Racz, Z., Van Wijland, F.
The zero-temperature transverse Ising chain carrying an energy flux j_E is studied with the aim of determining the nonequilibrium distribution functions, P(M_z) and P(M_x), of its transverse and...
Roughness distributions for 1/f^alpha signals (2001)
Antal, T., Droz, M., Gyorgyi, G., Racz, Z.
The probability density function (PDF) of the roughness, i.e., of the temporal variance, of 1/f^alpha noise signals is studied. Our starting point is the generalization of the model of Gaussian,...
On the velocity distributions of the one-dimensional inelastic gas (2001)
Barrat, A., Biben, T., Racz, Z., Trizac, E., Van Wijland, F.
We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in...
1/f Noise and Extreme Value Statistics (2001)
Antal, T., Droz, M., Gyorgyi, G., Racz, Z.
We study the finite-size scaling of the roughness of signals in systems displaying Gaussian 1/f power spectra. It is found that one of the extreme value distributions (Gumbel distribution) emerges as...
Width Distributions and the Upper Critical Dimension of KPZ Interfaces (2001)
Marinari, E., Pagnani, A., Parisi, G., Racz, Z.
Simulations of restricted solid-on-solid growth models are used to build the width-distributions of d=2-5 dimensional KPZ interfaces. We find that the universal scaling function associated with the...
On the velocity distributions of the one-dimensional inelastic gas (2001)
Barrat, A., Biben, T., Racz, Z., Trizac, E., Van Wijland, F.
We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in...
On the velocity distributions of the one-dimensional inelastic gas (2001)
Barrat, A., Biben, T., Racz, Z., Trizac, E., Van Wijland, F.
We consider the single-particle velocity distribution of a one-dimensional fluid of inelastic particles. Both the freely evolving (cooling) system and the non-equilibrium stationary state obtained in...
Formation of Liesegang patterns: Simulations using a kinetic Ising model (2000)
Antal, T., Droz, M., Magnin, J., Pekalski, A., Racz, Z.
A kinetic Ising model description of Liesegang phenomena is studied using Monte Carlo simulations. The model takes into account thermal fluctuations, contains noise in the chemical reactions, and its...
Presence of energy flux in quantum spin chains: An experimental signature (2000)
Using the XXZ model for the description of one-dimensional magnetic materials we show that an energy flux, j_E, produces a shift, dk (j_E)^0.5, in the characteristic wavenumber of the spin-spin...
Diffusion and reaction of initially separated ions A- and B+ in the presence of counter ions A'+ and B'- is studied. The dynamics is described in terms of reaction-diffusion equations obeying local...
Derivation of the Matalon-Packter law for Liesegang patterns (1998)
Antal, T., Droz, M., Magnin, J., Racz, Z., Zrinyi, M.
Theoretical models of the Liesegang phenomena are studied and simple expressions for the spacing coefficients characterizing the patterns are derived. The emphasis is on displaying the explicit...
Isotropic Transverse XY Chain with Energy- and Magnetization Currents (1997)
Antal, T., Racz, Z., Rakos, A., Schutz, G. M.
The ground-state correlations are investigated for an isotropic transverse XY chain which is constrained to carry either a current of magnetization J_M or a current of energy J_E. We find that the...
Chopard, B., Droz, M., Magnin, J., Racz, Z.
The A+B --> C reaction-diffusion process is studied in a system where the reagents are separated by a semipermeable wall. We use reaction-diffusion equations to describe the process and to derive a...
Antal, T., Racz, Z., Sasvari, L.
We study the nonequilibrium steady states of an Ising chain in a transverse field, h, by investigating the effect of a field, lambda, which drives the current of energy. The zero-temperature,...
Dynamic Scaling of Width Distribution in Edwards--Wilkinson Type Models of Interface Dynamics (1995)
Edwards--Wilkinson type models are studied in 1+1 dimensions and the time-dependent distribution, P_L(w^2,t), of the square of the width of an interface, w^2, is calculated for systems of size L. We...
Correlations in Ising chains with non-integrable interactions (1995)
Two-spin correlations generated by interactions which decay with distance r as r^{-1-sigma} with -1 0 which can be observed by introducing magnified correlations, LC(r,L)-\sum_r C(r,L). The...