Negative differential response in chemical reactions

Abstract

Reaction currents in chemical networks usually increase when increasing their driving affinities. But far from equilibrium the opposite can also happen. We find that such negative differential response (NDR) occurs in reaction schemes of major biological relevance, namely, substrate inhibition and autocatalysis. We do so by deriving the full counting statistics of two minimal representative models using large deviation methods. We argue that NDR implies the existence of optimal affinities that maximize the robustness against environmental and intrinsic noise at intermediate values of dissipation. An analogous behavior is found in dissipative self-assembly, for which we identify the optimal working conditions set by NDR.

arXiv commentMain text and SI

References in corpus (29)

• The large deviation approach to statistical mechanics
• Thermodynamic uncertainty relation for biomolecular processes
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• Resonant tunnelling and negative differential conductance in graphene transistors
• Negative differential thermal resistance and thermal transistor
• Dynamic first-order phase transition in kinetically constrained models of glasses
• Stochastic thermodynamics under coarse-graining
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Nonequilibrium Thermodynamics of Chemical Reaction Networks: Wisdom from Stochastic Thermodynamics
• Fluctuation theorem for currents and Schnakenberg network theory
• Stochastic thermodynamics of chemical reaction networks
• Current fluctuations and transport efficiency for general Langevin systems
• Discrete-time thermodynamic uncertainty relation
• Kinetic uncertainty relation
• Tightening the uncertainty principle for stochastic currents
• Getting More from Pushing Less: Negative Specific Heat and Conductivity in Non-equilibrium Steady States
• Microscopic theory for negative differential mobility in crowded environments
• Nonlinear response of inertial tracers in steady laminar flows: differential and absolute negative mobility
• Negative differential conductivity in far-from-equilibrium quantum spin chains
• Thermodynamically Consistent Coarse Graining of Biocatalysts beyond Michaelis--Menten
• Nonlinear Response in the Driven Lattice Lorentz Gas
• Interacting Brownian dynamics in a nonequilibrium particle bath
• Statistical Physics of Adaptation
• Forcing inertial Brownian motors: efficiency and negative differential mobility
• Asymmetric exclusion processes with constrained dynamics
• Fluctuating Currents in Stochastic Thermodynamics II. Energy Conversion and Nonequilibrium Response in Kinesin Models
• Role of trapping and crowding as sources of negative differential mobility
• Mobility transition in a dynamic environment
• Rings in Random Environments: Sensing Disorder Through Topology

Cited by in corpus (19)

• The dissipation-time uncertainty relation
• Response theory: a trajectory-based approach
• Thermodynamics of Chemical Waves
• Macroscopic Stochastic Thermodynamics
• Information Geometric Inequalities of Chemical Thermodynamics
• Thermodynamics of Concentration vs Flux Control in Chemical Reaction Networks
• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Dissipation bounds precision of current response to kinetic perturbations
• Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks
• Statistical mechanical foundation of Weber-Fechner laws
• Strong current response to slow modulation: a metabolic case-study
• Nonequilibrium fluctuation-response relations for state-current correlations
• Deficiency, Kinetic Invertibility, and Catalysis in Stochastic Chemical Reaction Networks
• Nonequilibrium fluctuation-response relations for state observables
• Information-geometric structure for chemical thermodynamics: An explicit construction of dual affine coordinates
• Macroscopic fluctuation-response theory and its use for gene regulatory networks
• What is a chemostat? Insights from hybrid dynamics and stochastic thermodynamics
• Information Thermodynamics for Deterministic Chemical Reaction Networks