Most natural and engineered processes, such as biomolecular reactions, protein folding, and population dynamics, occur far from equilibrium and therefore cannot be treated within the framework of classical equilibrium thermodynamics. Here we experimentally study how some fundamental thermodynamic quantities and relations are affected by the presence of the nonequilibrium fluctuations associated with an active bath. We show in particular that, as the confinement of the particle increases, the stationary probability distribution of a Brownian particle confined within a harmonic potential becomes non-Boltzmann, featuring a transition from a Gaussian distribution to a heavy-tailed distribution. Because of this, nonequilibrium relations (e.g., the Jarzynski equality and Crooks fluctuation theorem) cannot be applied. We show that these relations can be restored by using the effective potential associated with the stationary probability distribution. We corroborate our experimental findings with theoretical arguments.
Living active matter systems such as bacterial colonies, schools of fish and human
crowds, display a wealth of emerging collective and dynamic behaviours as a result
of far-from-equilibrium interactions. The dynamics of these systems are better
understood and controlled considering their interaction with the environment, which
for realistic systems is often highly heterogeneous and disordered. Here, we
demonstrate that the presence of spatial disorder can alter the long-term dynamics
in a colloidal active matter system, making it switch between gathering and
dispersal of individuals. At equilibrium, colloidal particles always gather at the
bottom of any attractive potential; however, under non-equilibrium driving forces in
a bacterial bath, the colloids disperse if disorder is added to the potential. The
depth of the local roughness in the environment regulates the transition between
gathering and dispersal of individuals in the active matter system, thus inspiring
novel routes for controlling emerging behaviours far from equilibrium.
Active matter in a drying droplet alters the growth dynamics of coffee rings and leads to a more uniform distribution. Andac et al . investigate experimentally the drying process of a droplet containing suspended colloids in presence of motile bacteria, and find that the effect is particularly relevant in the case of slowly drying droplets. The experimental results are reproduced in the numerical simulation of a minimalistic model.
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