TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.3.044
TI  - Smoothly vanishing density in the contact process by an interplay of disorder and long-distance dispersal
PY  - 2024/07/16
UR  - https://scipost.org/SciPostPhysCore.7.3.044
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 3
SP  - 044
A1  - Juhász, Róbert
AU  - Kovács, István A.
AB  - Realistic modeling of ecological population dynamics requires spatially explicit descriptions that can take into account spatial heterogeneity as well as long-distance dispersal. Here, we present Monte Carlo simulations and numerical renormalization group results for the paradigmatic model, the contact process, in the combined presence of these factors in both one and two-dimensional systems. Our results confirm our analytic arguments stating that the density vanishes smoothly at the extinction threshold, in a way characteristic of infinite-order transitions. This extremely smooth vanishing of the global density entails an enhanced exposure of the population to extinction events. At the same time, a reverse order parameter, the local persistence displays a discontinuity characteristic of mixed-order transitions, as it approaches a non-universal critical value algebraically with an exponent $\beta_p'<1$.
ER  -

@Article{10.21468/SciPostPhysCore.7.3.044,
	title={{Smoothly vanishing density in the contact process by an interplay of disorder and long-distance dispersal}},
	author={Róbert Juhász and István A. Kovács},
	journal={SciPost Phys. Core},
	volume={7},
	pages={044},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.3.044},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.3.044},
}