We study the current large deviations for a lattice model of interacting active particles displaying motility-induced phase separation (MIPS). To do this, we first derive exact fluctuating hydrodynamics in system limit. On top usual Gaussian noise terms theory also presents Poissonian terms, that fully account for. find dynamical transition between flat density profiles and sharply phase-separated traveling waves, associated diagram together with deviation function all phases, including one...

We extend recent results on the exact hydrodynamics of a system diffusive active particles displaying motility-induced phase separation to account for typical fluctuations dynamical fields. By calculating correlation functions exactly in homogeneous phase, we find that two macroscopic length scales develop system. The first is related and other collective behavior particles. latter diverges as critical point approached. Our show model one dimension belongs universality class mean-field Ising...

Abstract Active systems are characterized by a continuous production of entropy at steady state. We study the statistics within lattice-based model interacting active particles that is capable motility-induced phase separation. Exploiting recent formulation exact fluctuating hydrodynamics for this model, we provide analytical results its in both typical and atypical (biased) regimes. This complements previous studies large deviation off-lattice particle models could only be addressed...

Abstract We introduce a family of lattice-gas models flocking, whose thermodynamically consistent dynamics admits proper equilibrium limit at vanishing self-propulsion. These are amenable to an exact coarse-graining which allows us study their hydrodynamic behavior analytically. show that the here belongs universality class Model C, and it generically exhibits tricritical behavior. Self-propulsion has non-perturbative effect on phase diagram, yielding novel behaviors depending type aligning...

The narrow escape problem deals with the calculation of mean time (MET) a Brownian particle from bounded domain through small hole on domain's boundary. Here we develop formalism which allows us to evaluate nonescape probability gas diffusing particles that may interact each other. In some cases MET first particle. is based fluctuating hydrodynamics and recently developed macroscopic fluctuation theory. We also uncover an unexpected connection between interacting thermal runaway in chemical reactors.

This work reports the first experimental measurements of this distribution by tracking Brownian motion colloidal particles. Unexpected connections between Airy and large-deviation formalisms non-equilibrium statistical mechanics are found. Finally, a particle position distribution, conditioned on given area, is studied, two novel dynamical phase transitions uncovered.

We identify a new scenario for dynamical phase transitions associated with time-integrated observables occurring in diffusive systems described by the macroscopic fluctuation theory. It is characterized pairwise meeting of first- and second-order bias-induced transition curves at two tricritical points. formulate simple, general criterion its appearance derive an exact Landau theory behavior. The demonstrated three examples: simple symmetric exclusion process biased activity-related...

Suppose that a d-dimensional domain is filled with gas of (in general, interacting) diffusive particles density n_{0}. A particle absorbed whenever it reaches the boundary. Employing macroscopic fluctuation theory, we evaluate probability P no are during long time T. We argue most likely profile, conditional on this event, stationary throughout As result, decays exponentially T for whole class interacting gases in any dimension. For d=1 profile and can be found analytically. In higher...

The time that a diffusing particle spends in certain region of space is known as the occupation time, or residence time. Recently, joint occupation-time statistics an ensemble noninteracting particles was addressed using single-particle statistics. Here we employ macroscopic fluctuation theory (MFT) to study many interacting particles. We find interactions can significantly change and, some models, even cause singularity large-deviation function describing these This be interpreted dynamical...

The survival of natural populations may be greatly affected by environmental conditions that vary in space and time. We look at a population residing two locations (patches) coupled migration, which the local fluctuate report on findings. First, we find unlike rare events many other systems, here histories leading to extinction event are not dominated single path. develop appropriate framework, turns out hybrid standard saddle-point method, Donsker-Varadhan formalism treats atypical averages...

We introduce a family of lattice-gas models flocking, whose thermodynamically consistent dynamics admits proper equilibrium limit at vanishing self-propulsion. These are amenable to an exact coarse-graining which allows us study their hydrodynamic behavior analytically. show that the here belongs universality class Model C, and it generically exhibits tricritical behavior. Self-propulsion has non-perturbative effect on phase diagram, yielding novel behaviors depending type aligning...

We study fluctuations of particle absorption by a three-dimensional domain with multiple absorbing patches. The is in contact gas interacting diffusing particles. This problem motivated living cell sensing via receptors distributed over the surface. Employing macroscopic fluctuation theory, we calculate covariance matrix different patches, extending previous works which addressed single current. find condition when sign correlations between patches fully determined transport coefficients and...

At finite concentrations of reacting molecules, kinetics diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we briefly review recent progress in overcoming this fundamental difficulty. We show that the fluctuating hydrodynamics and macroscopic fluctuation theory provide simple, general versatile framework for studying whole class problems survival, absorption escape...

Active systems are characterized by a continuous production of entropy at steady state. We study the statistics within lattice-based model interacting active particles that is capable motility-induced phase separation. Exploiting recent formulation exact fluctuating hydrodynamics for this model, we provide analytical results its in both typical and atypical (biased) regimes. This complements previous studies large deviation off-lattice particle models could only be addressed numerically. Our...

We study the current large deviations for a lattice model of interacting active particles displaying motility-induced phase separation (MIPS). To do this, we first derive exact fluctuating hydrodynamics in system limit. On top usual Gaussian noise terms theory also presents Poissonian terms, that fully account for. find dynamical transition between flat density profiles and sharply phase-separated traveling waves, associated diagram together with deviation function all phases, including one...

We identify a new scenario for dynamical phase transitions associated with time-integrated observables occurring in diffusive systems described by the macroscopic fluctuation theory. It is characterized pairwise meeting of first- and second-order bias-induced transition curves at two tricritical points. formulate simple, general criterion its appearance derive an exact Landau theory behavior. The demonstrated three examples: simple symmetric exclusion process biased activity-related...