In this colloquia review we discuss methods for thermal transport calculations for
nanojunctions connected to two semi-infinite leads served as heat-baths. Our emphases are …

The state-dependent diffusion, which concerns the Brownian motion of a particle in
inhomogeneous media has been described phenomenologically in a number of ways …

We examine the noise-induced transition in a fluctuating bistable potential of a driven
quantum system in thermal equilibrium. Making use of a Wigner canonical thermal …

The escape rate of a particle over a fluctuating barrier in a double-well potential exhibits
resonance at an optimum value of correlation time of fluctuation. This has been shown to be …

We analyze the problem of directed quantum transport induced by external exponentially
correlated telegraphic noise. In addition to quantum nature of the heat bath, nonlinearity of …

In the present study we have developed an alternative formulation for the quantum
stochastic thermodynamics based on the c-number Langevin equation for the system …

In this paper, we have studied the Shannon “entropic” nonequilibrium temperature (NET) of
quantum Brownian systems. The Brownian particle is attached to either a bosonic or …

We consider the quantum stochastic dynamics of a system whose interaction with the
reservoir is considered to be linear in bath co-ordinates but nonlinear in system co …

Ratchet models provide an useful mechanism for directed transport using nonequilibrium
fluctuations of the surrounding. In the dynamics of micro-particles quantum effect is likely to …

The Kramers factor is the key nonequilibrium contribution to the decay rate of a metastable
state of a system in contact with a thermal bath. In the 1980s Wolynes introduced a quantum …