We present the statistical mechanical foundation of nonisothermal stochastic processes, thereby generalizing Kramers' Fokker-Planck model for thermal activation and providing a microscopic context for Rolf Landauer's original ideas on state-dependent diffusion. By applying projection operator methods suitable for nonlinear mesoscopic systems coupled to a heat bath, we develop the theory of classical Brownian motion (in position and momentum) including the local temperature as a dynamical variable. The ensuing stochastic process involves a microcanonical effective mean force different from the free energy gradient, while the equilibrium potential is given by the availability. The effective spatial diffusion coefficient in the Smoluchowski li...
This paper reviews a new theory for non-equilibrium statistical mechanics. This gives the non-equili...
A theory of many-particle systems is developed to formulate transport, collective motion, and Browni...
A method for the development of elements of nonequilibrium (h{stroke}, k) dynamics without the use o...
We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equ...
We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equ...
Basic concepts like energy, heat, and temperature have acquired a precise meaning after the developm...
The Markovian dynamics of a Brownian particle is derived in the case that the local temperature is a...
The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fl...
Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport...
ABSTRACT. Basic concepts like energy, heat, and temperature have acquired a precise meaning after th...
Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-ty...
We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the schem...
I revisit the exactly solvable Kipnis-Marchioro-Presutti model of heat conduction (Kipnis et al 1982...
Diffusion processes play an important role in describing systems in many fields of science, as in ph...
This third part extends the theory of Generalized Poisson–Kac (GPK) processes to nonlinear stochast...
This paper reviews a new theory for non-equilibrium statistical mechanics. This gives the non-equili...
A theory of many-particle systems is developed to formulate transport, collective motion, and Browni...
A method for the development of elements of nonequilibrium (h{stroke}, k) dynamics without the use o...
We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equ...
We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equ...
Basic concepts like energy, heat, and temperature have acquired a precise meaning after the developm...
The Markovian dynamics of a Brownian particle is derived in the case that the local temperature is a...
The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fl...
Employing time-dependent projection formalism, a Fokker-Planck equation with non-Markovian transport...
ABSTRACT. Basic concepts like energy, heat, and temperature have acquired a precise meaning after th...
Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-ty...
We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the schem...
I revisit the exactly solvable Kipnis-Marchioro-Presutti model of heat conduction (Kipnis et al 1982...
Diffusion processes play an important role in describing systems in many fields of science, as in ph...
This third part extends the theory of Generalized Poisson–Kac (GPK) processes to nonlinear stochast...
This paper reviews a new theory for non-equilibrium statistical mechanics. This gives the non-equili...
A theory of many-particle systems is developed to formulate transport, collective motion, and Browni...
A method for the development of elements of nonequilibrium (h{stroke}, k) dynamics without the use o...