The Dance of Odd-Diffusive Particles: A Fourier Approach
arXiv:2407.13290 · doi:10.1103/PhysRevResearch.6.043036
Abstract
Odd-diffusive systems are characterized by transverse responses and exhibit unconventional behaviors in interacting systems. To address the dynamical interparticle rearrangements in a minimal system, we here exactly solve the problem of two hard disk-like interacting odd-diffusing particles. We calculate the probability density function (PDF) of the interacting particles in the Fourier-Laplace domain and find that oddness rotates all modes except the zeroth, resembling a ``mutual rolling'' of interacting odd particles. We show that only the first Fourier mode of the PDF, the polarization, enters the calculation of the force autocorrelation function (FACF) for generic systems with central-force interactions. An analysis of the polarization as a function of time reveals that the relative rotation angle between interacting particles overshoots before relaxation, thereby rationalizing the recently observed oscillating FACF in odd-diffusive systems.
References in corpus (16)
- When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
- Inertia, diffusion and dynamics of a driven skyrmion
- Magnetizing a complex plasma without a magnetic field
- Effect of a magnetic field on the thermodynamic uncertainty relation
- Brownian motion of massive skyrmions forced by spin polarized currents
- Analytic Solution of an Active Brownian Particle in a Harmonic Well
- Active Microrheology, Hall Effect, and Jamming in Chiral Fluids
- Stochastic thermodynamics for delayed Langevin systems
- Self-diffusion in two-dimensional quasi-magnetized rotating dusty plasmas
- Persistent memory for a Brownian walker in a random array of obstacles
- Brownian Dynamics of charged particles in a constant magnetic field
- Time-Dependent Fluctuations and Superdiffusivity in the Driven Lattice Lorentz Gas
- Turbulent diffusion with rotation or magnetic fields
- Statistics of Entropy Production in Linearized Stochastic System
- The role of non-conservative scattering forces and damping on Brownian particles in optical traps
- Irreversible Boltzmann samplers in dense liquids: weak-coupling approximation and mode-coupling theory