In this section
@article{Pruessner:2025:1361-6633/adff30,
author = {Pruessner, G and Garcia-Millan, R},
doi = {1361-6633/adff30},
journal = {Reports on Progress in Physics},
title = {Field theories of active particle systems and their entropy production},
url = {http://dx.doi.org/10.1088/1361-6633/adff30},
year = {2025}
}
TY - JOUR
AB - Active particles that translate chemical energy into self-propulsion can maintain a far-fromequilibrium steady state and perform work. The entropy production measures how far from equilibrium such a particle system operates and serves as a proxy for the work performed. Field theory oers a promising route to calculating entropy production, as it allows for many interacting particles to be considered simultaneously. Approximate eld theories obtained by coarse-graining or smoothing that draw on additive noise can capture densities and correlations well, but they generally ignore the microscopic particle nature of the constituents, thereby producing spurious results for the entropy production. As an alternative we demonstrate how to use Doi-Peliti eld theories, which capture the microscopic dynamics, including reactions and interactions with external and pair potentials. Such eld theories are in principle exact, while oering a systematic approximation scheme, in the form of diagrammatics. We demonstrate how to construct them from a Fokker-Planck equation (FPE) and show how to calculate entropy production of active matter from rst principles. Our new method amounts to a paradigm shift, whereby the entropy production rate is calculated exactly from microscopic dynamics, instead of deriving it from a coarse-grained description in an uncontrolled approximation. This framework is easily extended to include interaction. We use it to derive exact, compact and ecient general expressions for the entropy production for a vast range of interacting conserved particle systems. These expressions are independent of the underlying eld theory and can be interpreted as the spatial average of the local entropy production. They are readily applicable to numerical and experimental data. In general, the entropy production due to any pair interaction draws at most on the three point, equal time density; and an n-point interaction on the (2n-1)-point density. We illustrate this new tec
AU - Pruessner,G
AU - Garcia-Millan,R
DO - 1361-6633/adff30
PY - 2025///
SN - 0034-4885
TI - Field theories of active particle systems and their entropy production
T2 - Reports on Progress in Physics
UR - http://dx.doi.org/10.1088/1361-6633/adff30
UR - https://www.ncbi.nlm.nih.gov/pubmed/40856475
UR - https://iopscience.iop.org/article/10.1088/1361-6633/adff30
ER -