40 citations · 330 across the 19 of their papers we have counts for
7 papers · 1 filter
Large scale emergent properties of an autocatalytic reaction-diffusion model subject to noise
David Hochberg, Felipe Lesmes, Federico Moran +1
The non-equilibrium dynamic fluctuations of a stochastic version of the Gray-Scott (GS) model are studied analytically in leading order in perturbation theory by means of the dynam…
Complex noise in diffusion-limited reactions of replicating and competing species
David Hochberg, M. -P. Zorzano, Federico Moran
We derive exact Langevin-type equations governing quasispecies dynamics. The inherent multiplicative noise has both real and imaginary parts. The numerical simulation of the underl…
Path integral evaluation of the one-loop effective potential in field theory of diffusion-limited reactions
David Hochberg, M. -P. Zorzano
The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the…
Galilean invariance and homogeneous anisotropic randomly stirred flows
Arjun Berera, David Hochberg
The Ward-Takahashi (WT) identities for incompressible flow implied by Galilean invariance are derived for the randomly forced Navier-Stokes equation (NSE), in which both the mean a…
Asymptotic properties of turbulent magnetohydrodynamics
Arjun Berera, David Hochberg
The dynamic renormalization group (RG) is used to study the large-distance and long-time limits of viscous and resistive incompressible magnetohydrodynamics subject to random force…
Effective potential for the reaction-diffusion-decay system
David Hochberg, Carmen Molina-Paris, Juan Perez-Mercader +1
In previous work [cond-mat/9904207,cond-mat/9904215] we have developed a general method for casting stochastic partial differential equations (SPDEs) into a functional integral for…