Universality class of replica synchronization transition of smooth coupled map lattices in the presence of quenched disorder

Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in presence of identical quenched disorder in coupling in both replicas for coupled logistic and tent maps. We study one-dimensional, two-dimensional, and globally coupled cases. We observe a clear second-order transition with new exponents. The order parameter decays as $t^{-\delta}$ with $\delta=2$ for tent map and $\delta=3$ for logistic map in any dimension. The asymptotic order parameter grows as $\Delta^{\beta}$ with $\beta=2$ for the tent map and $\beta=3$ for the logistic map. The quenched disorder in coupling is a relevant perturbation for the replica synchronization of coupled map lattices. The critical exponents are different from that of the multiplicative noise universality class. We observe that the critical exponents are independent of dimensions and super-universal in nature

Robustness of directed percolation under relaxation of prerequisites: role of quenched disorder and memory

Directed percolation (DP) is the most widely observed transition to the absorbing state in the nonequilibrium systems. For all continuous transitions with positive one-component order parameter, short-range processes in space and time, and without additional symmetries or quenched disorder, DP is the expected universality class. We study the robustness of the DP universality class under the relaxation of these conditions. (a) We consider two types of particles, A and B such that A sites recover in one time-step with probability $$1-p$$, while type B definitely recovers in $$\tau$$ time-steps. (b) A fraction of sites are coupled to nearest neighbors and the rest are coupled to the next-nearest neighbor. (c) The sites infected in previous $$t_m$$ time-steps are infected with lower probability $$p_1$$ and the rest are infected with probability p. (d) We examine the effect of global external forcing on the contact process. (e) We study the relevance of quenched disorder in coupled map lattice. (f) We study connections to a common manifold in a 2D contact process. These infinite long-range connections lead to the DP universality class in 1D. In all these cases except power-law forcing with a small decay exponent and large delay in model (a), the order-parameter decay exponent stays in the DP class. Thus, the DP universality class is robust under the relaxation of many of its prerequisites

Proceedings of National Conference on Relevance of Engineering and Science for Environment and Society

This conference proceedings contains articles on the various research ideas of the academic community and practitioners presented at the National Conference on Relevance of Engineering and Science for Environment and Society (R{ES}2 2021). R{ES}2 2021 was organized by Shri Pandurang Pratishthan’s, Karmayogi Engineering College, Shelve, Pandharpur, India on July 25th, 2021. Conference Title: National Conference on Relevance of Engineering and Science for Environment and SocietyConference Acronym: R{ES}2 2021Conference Date: 25 July 2021Conference Location: Online (Virtual Mode)Conference Organizers: Shri Pandurang Pratishthan’s, Karmayogi Engineering College, Shelve, Pandharpur, India