8 papers
Fractional motions of an active particle on the quantum vortex
Yun Jeong Kang, Sung Kyu Seo, Kyungsik Kim
We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We firs…
Quantum diffusion for a quantum particle with a correlated Gaussian noise
Yun Jeong Kang, Sung Kyu Seo, Kyungsik Kim
We investigate the diffusive behavior of a quantum particle driven by a correlated Gaussian noise. We derive the analytical solution of the joint probability density function and o…
Analytical solutions for a charged particle with white, thermal, and active noises in the presence of a uniform magnetic field
Y. J. Kang, S. K. So, Kyungsik Kim
We study the two-dimensional equations of motion for a charged particle subjected to white, thermal, and active noises in uniform a magnetic field. By deriving the corresponding Fo…
Joint probability density with radial, tangential, and perturbative forces
Jae-Won Jung, Sung Kyu Seo, Sungchul Kwon +1
We study the Fokker-Planck equation for an active particle with both the radial and tangential forces and the perturbative force. We find the solution of the joint probability dens…
Joint probability densities of an active particle coupled to two heat reservoirs
Jae-Won Jung, Sung Kyu Seo, Kyungsik Kim
We derive a Fokker-Planck equation for joint probability density for an active particle coupled two heat reservoirs with harmonic, viscous, random forces. The approximate solution…
Dynamical behavior of passive particles with harmonic, viscous, and correlated Gaussian forces
Jae Won Jung, Sung Kyu Seo, Kyungsik Kim
In this paper, we study the Navier-Stokes equation and the Burgers equation for the dynamical motion of a passive particle with harmonic and viscous forces, subject to an exponenti…