Non-equilibrium systems have steady-state distributions and non-steady dynamics

Abstract

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe such systems. In these, the generalisation of a steady state is associated with a stationary probability density of micro-states and a deterministic dynamical system whose trajectories the system follows on average. These trajectories are a manifestation of non-stationary macroscopic currents observed in these systems. We determine precise conditions for the steady state to exist as well as the requirements for it to be stable. We illustrate this with some examples.

12+ pages, 2 figures

References in corpus (12)

• Novel type of phase transition in a system of self-driven particles
• Statistical physics of social dynamics
• Self-motile colloidal particles: from directed propulsion to random walk
• Spontaneous motion in hierarchically assembled active matter
• Propulsion of a molecular machine by asymmetric distribution of reaction--products
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
• Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
• Non-equilibrium mechanics and dynamics of motor activated gels
• Nonequilibrium equation of state in suspensions of active colloids
• Excitable Patterns in Active Nematics
• Complex Spontaneous Flows and Concentration Banding in Active Polar Films

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