The role of quantum coherence and correlations in heat flow equilibration is investigated by exploring the Rayleigh's dynamical problem to regime following Onsager's approach thermoelectricity. Specifically, we consider a qubit bombarded two-qubit projectiles from side. For arbitrary collision times initial states, develop master equation for sequential collective collisions. By deriving Fokker...

The $q$-Onsager algebra $\mathcal O_q$ is defined by two generators $W_0, W_1$ and relations called the $q$-Dolan/Grady relations. Recently Baseilhac Kolb obtained a PBW basis for with elements denoted $\lbrace B_{n \delta+ \alpha_0} \rbrace_{n=0}^\infty, \lbrace \alpha_1} \delta} \rbrace_{n=1}^\infty $. In their recent study of current A_q$, Belliard conjecture that there exist W_{-k}\rbrace_{...

We present a study of the isotropic-nematic interface in a system of hard spherocylinders. First we compare results from Monte Carlo simulations and Onsager density functional theory for the interfacial profiles of the orientational order parameter and the density. Those interfacial properties that are not affected by capillary waves are in good agreement, despite the fact that Onsager theory o...

The eeective action provides an appropriate cost function to determine most probable (or optimal) histories for nonlinear dynamics with strong noise. In such strong-coupling problems, a nonperturbative technique is required to calculate the eeective action. We have proposed a Rayleigh-Ritz variational approximation, which employs simple moment-closures or intuitive guesses of the statistics to ...