Irreversibility of stochastic state transitions in Langevin systems with odd elasticity
arXiv:2312.14469 · doi:10.1103/PhysRevE.109.064116
Abstract
Active microscopic objects, e.g., an enzyme molecule, are modeled by the Langevin system with the odd elasticity, in which energy injection from the substrate to the enzyme is described by the antisymmetric part of the elastic matrix. By applying the Onsager--Machlup integral and large deviation theory to the Langevin system with odd elasticity, we can calculate the cumulant generating function of the irreversibility of the state transition. For an -component system, we obtain a formal expression of the cumulant generating function and demonstrate that the oddness , which quantifies the antisymmetric part of the elastic matrix, leads to higher-order cumulants that do not appear in a passive elastic system. To demonstrate the effect of the oddness under the concrete parameter, we analyze the simplest two-component system and obtain the optimal transition path and cumulant generating function. The cumulants obtained from expansion of the cumulant generating function increase monotonically with the oddness. This implies that the oddness causes the uncertainty of stochastic state transitions.
References in corpus (46)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The hydrodynamics of swimming microorganisms
- The large deviation approach to statistical mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Odd elasticity
- Odd dynamics of living chiral crystals
- Dynamics of a Brownian circle swimmer
- Odd Viscosity and Odd Elasticity
- Path-integral analysis of fluctuation theorems for general Langevin processes
- Dominant Pathways in Protein Folding
- Large Deviations in Single File Diffusion
- Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
- Theory of nonequilibrium free energy transduction by molecular machines
- Time-(ir)reversibility in active matter: from micro to macro
- Enhanced Diffusion of Enzymes that Catalyze Exothermic Reactions
- Activated escape of a self-propelled particle from a metastable state
- Theoretical Perspectives on Biological Machines
- Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
- Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process
- Geometric visualization of self-propulsion in a complex medium
- A charged particle in a magnetic field - Jarzynski Equality
- Stochastic actions for diffusive dynamics: Reweighting, sampling, and minimization
- Stochastic thermodynamics for delayed Langevin systems
- Non-equilibrium fluctuations for linear diffusion dynamics
- Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
- Nonlinearity of Mechanochemical Motions in Motor Proteins
- Statistics of Entropy Production in Linearized Stochastic System
- Self-organized swimming with odd elasticity
- Dynamical large deviations of linear diffusions
- Toward the full short-time statistics of an active Brownian particle on the plane
- Fluctuation Properties of Steady-State Langevin Systems
- Time-correlation functions for odd Langevin systems
- Application of Onsager Machlup integral in solving dynamic equations in non-equilibrium systems
- Nonequilibrium steady state thermodynamics and fluctuations for stochastic systems
- Nonequilibrium Transport Induced by Biological Nanomachines
- Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
- Multiple dynamic transitions in nonequilibrium work fluctuations
- Odd elasticity and topological waves in active surfaces
- The Onsager-Machlup Integral for Non-reciprocal Systems with Odd Elasticity
- Mechanics of cell crawling by means of force-free cyclic motion
- Odd Microswimmer
- Nonreciprocality of a micromachine driven by a catalytic chemical reaction
- Experimental measurement of relative path probabilities and stochastic actions
- Fluctuations and correlations in nonequilibrium systems
- Most probable path of an active Brownian particle
- Odd elasticity of a catalytic micromachine