Role of interactions in non-equilibrium transformations
arXiv:2307.12960 · doi:10.1103/PhysRevE.109.044136
Abstract
For arbitrary non-equilibrium transformations in complex systems, we show that the distance between the current state and a target state can be decomposed into two terms: one corresponding to an independent estimate of the distance, and another corresponding to interactions, quantified using the relative mutual information between the variables. This decomposition is a special case of a more general decomposition involving successive orders of correlation or interactions among the degrees of freedom of the system. To illustrate its practical significance, we study the thermal relaxation of two interacting, optically trapped colloidal particles, where increasing pairwise interaction strength is shown to prolong the longevity of the time-dependent non-equilibrium state. Additionally, we study a system with both pairwise and triplet interactions, where our approach identifies their distinct contributions to the transformation. In more general setups where it is possible to control the strength of different orders of interactions, our findings provide a way to disentangle their effects and identify interactions that facilitate the transformation.
9 pages, 8 figures, Published version
References in corpus (38)
- Energy Dissipation and Transport in Nanoscale Devices
- Brownian Carnot engine
- Single-molecule experiments in biological physics: methods and applications
- The resource theory of informational nonequilibrium in thermodynamics
- Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics
- Generalized Clausius inequality for nonequilibrium quantum processes
- Speed Limit for Classical Stochastic Processes
- Anomalous cooling and heating - the Mpemba effect and its inverse
- Optimal protocols and optimal transport in stochastic thermodynamics
- Exponentially faster cooling in a colloidal system
- Refined Second Law of Thermodynamics for fast random processes
- Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
- Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
- Stochastic thermodynamic interpretation of information geometry
- Speed limit for open quantum systems
- Thermodynamics of genuine non-equilibrium states under feedback control
- The dissipation-time uncertainty relation
- Experimental Realization of a Minimal Microscopic Heat Engine
- Faster uphill relaxation in thermodynamically equidistant temperature quenches
- A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
- Dynamic Riemannian Geometry of the Ising Model
- Hydrodynamic coupling of two rotating spheres trapped in harmonic potentials
- Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks
- Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
- Information-theoretical bound of the irreversibility in thermal relaxation processes
- Topological Speed Limit
- Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
- Toward relaxation asymmetry: Heating is faster than cooling
- Learning nonequilibrium control forces to characterize dynamical phase transitions
- The metastable Mpemba effect corresponds to a non-monotonic temperature dependence of extractable work
- Dissipation bounds the amplification of transition rates far from equilibrium
- A unified, geometric framework for nonequilibrium protocol optimization
- Sampling efficiency of transverse forces in dense liquids
- Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect
- Two-point active microrheology in a viscous medium exploiting a motional resonance excited in dual-trap optical tweezers
- Work Relations Connecting Nonequilibrium Steady States Without Detailed Balance
- Direct verification of the fluctuation-dissipation relation in viscously coupled oscillators
- Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways