Explanipedia

A Real K3 Automorphism with Most of Its Entropy in the Real Part Open

E. G. D. Cohen · 2025

This article describes an example of a real projective K3 surface admitting a real automorphism $f$ satisfying $h_{top}(f, X(\mathbb{C})) < 2 h_{top}(f, X(\mathbb{R}))$. The example presented is a $(2,2,2)$-surface in $\mathbb{P}^1 \times …

Nonequilibrium Langevin dynamics: A demonstration study of shear flow fluctuations in a simple fluid Open

Roman Belousov, E. G. D. Cohen, Lamberto Rondoni · 2017

The present paper is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the rel…

Second-order fluctuation theory and time autocorrelation function for currents Open

Roman Belousov, E. G. D. Cohen · 2016

By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating variable…

Langevin equation for systems with a preferred spatial direction Open

Roman Belousov, E. G. D. Cohen, Lamberto Rondoni · 2016

In this paper, we generalize the theory of Brownian motion and the Onsager-Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an …

Skewness of steady-state current fluctuations in nonequilibrium systems Open

Roman Belousov, E. G. D. Cohen, Chun-Shang Wong, J. Goree, Yan Feng · 2016

A skewness of the probability for instantaneous current fluctuations, in a nonequilibrium steady state, is observed experimentally in a dusty plasma. This skewness is attributed to the spatial asymmetry, which is imminent to the nonequilib…

Self-limiting trajectories of a particle moving deterministically in a random medium Open

Benjamin Webb, E. G. D. Cohen · 2015

We study the motion of a particle moving on a two-dimensional honeycomb lattice, whose sites are randomly occupied by either right or left rotators, which rotate the particle's velocity to its right or left, according to deterministic rule…

Subdiffusion, anomalous diffusion and propagation of particle moving on random and periodic Lorentz lattice gas Open

Shradha Mishra, Sanchari Bhattacharya, Benjamin Webb, E. G. D. Cohen · 2015

Self-Limiting Trajectories of a Particle Moving Deterministically in a\n Random Medium Open

Benjamin L. J. Webb, E. G. D. Cohen · 2015

We study the motion of a particle moving on a two-dimensional honeycomb\nlattice, whose sites are randomly occupied by either right or left rotators,\nwhich rotate the particle's velocity to its right or left, according to\ndeterministic r…

On the Transition of a Non-Equilibrium System to an Equilibrium System Open

E. G. D. Cohen · 2015

It is shown that the most important feature of Non-Equilibrium Thermodynamics is not the entropy production, but the organization of the currents in order to flow. This is also needed to obtain the maximum entropy in the equilibrium state,…

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