Spatial distributions of nonconservatively interacting particles.

  title={Spatial distributions of nonconservatively interacting particles.},
  author={D. Osmanovi{\'c}},
  journal={Physical review. E},
  volume={103 2-1},
  • D. Osmanović
  • Published 1 April 2020
  • Medicine, Physics
  • Physical review. E
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

Figures from this paper


Towards a statistical mechanical theory of active fluids.
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.
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
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 aExpand
Perturbative theory for Brownian vortexes.
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
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 aExpand
On the steady-state probability distribution of nonequilibrium stochastic systems
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 betweenExpand
Towards a thermodynamics of active matter.
  • S. Takatori, J. Brady
  • 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
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 toExpand
The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids
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 ofExpand
Curl forces and the nonlinear Fokker-Planck equation.
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