activity
20212026
most citedEnergetic and entropic cost due to overlapping of Turing-Hopf instabilities in presence of Cross Diffusion

26 citations · 45 across the 9 of their papers we have counts for

collaborators

9 papers

cond-mat.stat-mech2026

Classification of instabilities for the nonideal Brusselator model

Premashis Kumar, Massimiliano Esposito, Timur Aslyamov

We investigate a nonideal, thermodynamically consistent Brusselator reaction-diffusion (RD) system that explicitly incorporates molecular interactions among species in both the dif…

nlin.PS2024

Regulating protocols of globally coupled continuum systems: Effects on dynamics and thermodynamics

Premashis Kumar

Controlling and understanding phenomena in coupled systems remains a significant challenge across diverse fields. This study investigates a simple globally coupled chemical system…

cond-mat.stat-mech2023★ 2 cited

Nonequilibrium thermodynamic signatures of collective dynamical states around chimera in a chemical reaction network

Premashis Kumar, Gautam Gangopadhyay

Different dynamical states ranging from coherent, incoherent to chimera, multichimera, and related transitions are addressed in a globally coupled nonlinear continuum chemical osci…

nlin.AO2022

Glycolytic Wave Patterns in a Simple Reaction-diffusion System with Inhomogeneous Influx: Dynamic Transitions

Premashis Kumar, Gautam Gangopadhyay

An inhomogeneous profile of chemostatted species generates a rich variety of patterns in glycolytic waves depicted in a Selkov reaction-diffusion framework here. A key role played…

nlin.AO2022★ 5 cited

Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system

Premashis Kumar, Gautam Gangopadhyay

The emergence of the chimera state as counterintuitive spatial coexistence of synchronous and asynchronous regimes is addressed here in a continuum chemical oscillator system by im…

nlin.AO2021★ 2 cited

Interplay of energy, dissipation, and error in kinetic proofreading: Control via concentration and binding energy

Premashis Kumar, Kinshuk Banerjee, Gautam Gangopadhyay

Kinetic proofreading mechanisms explain the extraordinary accuracy observed in central biological events in terms of the enhanced specificity of substrate selection networks under…

nlin.AO2021★ 10 cited

Nonequilibrium thermodynamics of glycolytic traveling wave: Benjamin-Feir instability

Premashis Kumar, Gautam Gangopadhyay

Evolution of the nonequilibrium thermodynamic entities corresponding to dynamics of the Hopf instabilities and traveling waves at a nonequilibrium steady state of a spatially exten…

nlin.AO2021★ 26 cited

Energetic and entropic cost due to overlapping of Turing-Hopf instabilities in presence of Cross Diffusion

Premashis Kumar, Gautam Gangopadhyay

A systematic introduction to nonequilibrium thermodynamics of dynamical instabilities is considered for an open nonlinear system beyond conventional Turing pattern in presence of c…

math.DS2021

Limit Cycle Analysis of 3-D Nonlinear systems

Souma Mazumdar, Premashis Kumar, Gautam Gangopadhyay

Considering Limit Cycles as one of the limits of Lienard equation, an analyis analogous to centre manifold analysis has been done for a nonlinear system exhibiting Limit Cycl…