7 papers
Scaling laws and energy dissipation in the dynamics of SLE curve as a 1D turbulence model
Yusuke K. Shibasaki
In this study, we demonstrate the characteristics of the stochastic Loewner evolution (SLE) as a one-dimensional (1D) turbulence model. First, we show that the diffusion process $x…
A Loewner-Theoretic Approach to the Nonlinear Generalized Langevin Equation: The Role of Entropy in Colored Noise Environment
Yusuke K. Shibasaki
In this study, the formal derivation of a one-dimensional nonlinear generalized Langevin equation is demonstrated using a decomposition method based on the conformal transformation…
Description of KPZ interface growth by stochastic Loewner evolution
Yusuke Kosaka Shibasaki
In this study, we investigate the relationship between the one-dimensional (1D) Kardar-Parisi-Zhang (KPZ) equation and the stochastic Loewner equation (SLE), which is a one paramet…
Bio-inspired learning algorithm for time series using Loewner equation
Yusuke Kosaka Shibasaki
Though the relationship between the theoretical statistical physics and machine learning techniques has been a well-discussed topic, the studies on the mechanism of learning inspir…
On the role of Loewner entropy in statistical mechanics of 2D Ising system
Yusuke Shibasaki
The fundamental properties of 2-dimensional (2D) Ising system were formulated using the Loewner theory. We focus on the role of the complexity measure of the 2D geometry, referred…
Growth-induced stability in modified SLE curve
Yusuke Shibasaki
In this study, the non-equilibrium free energy corresponding to the curve generated by a modified stochastic Loewner evolution (SLE), which is driven by the Langevin equation, is t…
Non-equilibrium entropy and irreversibility in generalized stochastic Loewner evolution from an information-theoretic perspective
Yusuke Shibasaki, Minoru Saito
The generalized stochastic Loewner evolution (SLE) driven by reversible Langevin dynamics was theoretically investigated in the context of non-equilibrium statistical mechanics. Th…