Two fundamental ingredients play a decisive role in the foundation of fluctuation relations:
the principle of microreversibility and the fact that thermal equilibrium is described by the …

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined
with unbiased external input signals, deterministic and random alike, can assist directed …

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 dynamical convergence of a system to the thermal distribution, or Gibbs state, is a
standard assumption across all of the physical sciences. The Gibbs state is determined just …

Based on the observation that the thermodynamic equilibrium free energy of an open
quantum system in contact with a thermal environment is the difference between the free …

Nanomechanical resonators with high aspect ratio, such as nanotubes and nanowires are of
interest due to their expected high sensitivity. However, a strongly nonlinear response …

A quantum system weakly coupled to a zero-temperature environment will relax, via
spontaneous emission, to its ground-state. However, when the coupling to the environment …

A brief history is presented, outlining the development of rate theory during the past century.
Starting from Arrhenius [Z. Phys. Chem. 4, 226 (1889)], we follow especially the formulation …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Nonlinear elastic effects play an important role in the dynamics of microelectromechanical
systems (MEMS). A Duffing oscillator is widely used as an archetypical model of mechanical …