# Spatial distributions of nonconservatively interacting particles.

@article{Osmanovi2021SpatialDO, title={Spatial distributions of nonconservatively interacting particles.}, author={D. Osmanovi{\'c}}, journal={Physical review. E}, year={2021}, volume={103 2-1}, pages={ 022610 } }

Certain types of active systems can be treated as an equilibrium system with excess nonconservative forces driving some of the microscopic degrees of freedom. We derive results for how many particles having both conservative and nonconservative forces will behave. Treating nonconservative forces perturbatively, we show how the probability distribution of the microscopic degrees of freedom is modified from the Boltzmann distribution. We then derive approximate forms of this distribution through… Expand

#### References

SHOWING 1-10 OF 35 REFERENCES

Towards a statistical mechanical theory of active fluids.

- Physics, Medicine
- Soft matter
- 2015

It is shown that it is possible to develop a statistical mechanical approach similar to the one employed in the study of equilibrium liquids and to obtain the explicit form of the many-particle distribution function by means of the multidimensional unified colored noise approximation. Expand

Stresses in non-equilibrium fluids: Exact formulation and coarse-grained theory.

- Physics, Medicine
- The Journal of chemical physics
- 2018

The exact (instantaneous) stress tensor for interacting Brownian particles is formulated and it is shown that its average value agrees with expressions derived previously, and divergence-free parts of the stress Tensor do not contribute to the Green-Kubo relation for the viscosity. Expand

Stochastic thermodynamics for active matter

- Physics
- 2016

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a… Expand

Perturbative theory for Brownian vortexes.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2015

A theory based on a perturbative expansion of the Fokker-Planck equation for weak nonconservative driving accounts for the rich phenomenology observed in experiments on micrometer-scale colloidal spheres in optical tweezers. Expand

Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states

- Physics
- 2008

We give the explicit structure of the functional governing the dynamical density and current fluctuations for a mesoscopic system in a nonequilibrium steady state. Its canonical form determines a… Expand

On the steady-state probability distribution of nonequilibrium stochastic systems

- Physics
- 2014

A driven stochastic system in a constant temperature heat bath relaxes into a steady state that is characterized by the steady-state probability distribution. We investigate the relationship between… Expand

Towards a thermodynamics of active matter.

- Medicine, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2015

This work uses the new swim pressure perspective to develop a simple theory for predicting phase separation in active matter and provides a generalization of thermodynamic concepts like the free energy and temperature for nonequilibrium active systems. Expand

Density-functional theory of three-body interactions in liquids and glasses

- Physics
- 1989

Abstract The integral equation for the correlation functions of liquids and glasses is derived in the presence of a weak three-body potential. The inclusion of three-body forces is essential to… Expand

The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids

- Physics
- 1979

Abstract Recent theoretical work on the microscopic structure and surface tension of the liquid-vapour interface of simple (argon-like) fluids is critically reviewed. In particular, the form of… Expand

Curl forces and the nonlinear Fokker-Planck equation.

- Physics, Medicine
- Physical review. E
- 2016

It is proved that when these stationary solutions exist, the nonlinear Fokker-Planck equations satisfy an H theorem in terms of a free-energy-like quantity involving the S_{q} entropy. Expand