Spatial distributions of non-conservatively interacting particles

Abstract

Certain types of active systems can be treated as an equilibrium system with excess non-conservative forces driving some of the microscopic degrees of freedom. We derive results for how many particles interacting with each other with both conservative and non-conservative forces will behave. Treating non-conservative forces perturbatevily, we show how the probability distribution of the microscopic degrees of freedom is modified from the Boltzmann distribution. We compare the perturbative expansion to an exactly solvable non-conservative system. We then derive approximate forms of this distribution through analyzing the nature of our perturbations. Finally, we consider how the approximate forms for the microscopic distributions we have derived lead to different macroscopic states when coarse grained, and compare it qualitatively to simulation of non-conservatively interacting particles. In particular we note by introducing non-conservative interactions between particles we modify densities through extra terms which couple to surfaces

arXiv comment25 pages, 5 figures

References in corpus (17)

• Motility-Induced Phase Separation
• Pressure is not a state function for generic active fluids
• Emergent vortices in populations of colloidal rollers
• The statistical physics of active matter: from self-catalytic colloids to living cells
• Towards a 'Thermodynamics' of Active Matter
• Spontaneous velocity alignment in Motility-induced Phase Separation
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• Towards a statistical mechanical theory of active fluids
• Stochastic thermodynamics for active matter
• Observation of individual tracer atoms in an ultracold dilute gas
• Stresses in non-equilibrium fluids: Exact formulation and coarse grained theory
• Curl Forces and the Nonlinear Fokker-Planck Equation
• Nonequilibrium dynamics induced by scattering forces for optically trapped nanoparticles in strongly inertial regimes
• The role of non-conservative scattering forces and damping on Brownian particles in optical traps
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• On the steady state probability distribution of nonequilibrium stochastic systems

Cited by in corpus (2)

• Network Model of Active Fluctuations of Thin Elastic Shells Swollen by Hydrostatic Pressure
• Shape Transitions in Network Model of Active Elastic Shells