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6 papers

cond-mat.stat-mech2026

Quantum Brownian transport in a correlated Gaussian force

Yun Jeong Kang, Seungsik Min, Sung Kyu Seo +1

The paper analyzes a classical system‑bath model with linear coupling under white and correlated Gaussian noises, deriving joint probability densities and showing that correlated n…

cond-mat.stat-mech2026

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…

quant-ph2026

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…

cond-mat.stat-mech2024

On dynamical behaviors in the fractional generalized Langevin equation

Yun Jeong Kang, Kyungsik Kim

The focus of our study in this paper is on the active dynamics and a fractional generalized Langevin equation with a memory kernel K(t). The Fokker-Planck equation is obtained by d…

cond-mat.stat-mech2024

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…

cond-mat.stat-mech2024

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…