172 citations · 582 across the 21 of their papers we have counts for
14 papers · 1 filter
Network analysis of nanoscale energy conversion processes
M. Einax
Energy conversion in nanosized devices is studied in the framework of state-space models. We use a network representation of the underlying master equation to describe the dynamics…
Phase Transitions in Brownian Pumps
Marcel Dierl, Wolfgang Dieterich, Mario Einax +1
We study stochastic particle transport between two reservoirs along a channel, where the particles are pumped against a bias by a traveling wave potential. It is shown that phase t…
Optimal driving protocols for nano-sized devices and their dependence on couplings to reservoirs
Mario Einax
The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time…
One-dimensional transport of interacting particles: Currents, density profiles, phase diagrams and symmetries
Marcel Dierl, Mario Einax, Philipp Maass
Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensiona…
Work distribution in time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
Artem Ryabov, Marcel Dierl, Petr Chvosta +2
We investigate the distribution of work performed on a Brownian particle in a time-dependent asymmetric potential well. The potential has a harmonic component with time-dependent f…
Capture numbers and islands size distributions in models of submonolayer surface growth
Martin Körner, Mario Einax, Philipp Maass
The capture numbers entering the rate equations (RE) for submonolayer film growth are determined from extensive kinetic Monte Carlo (KMC) simulations for simple representative grow…
Classical Driven Transport in Open Systems with Particle Interactions and General Couplings to Reservoirs
Marcel Dierl, Philipp Maass, Mario Einax
We study nonequilibrium steady states of lattice gases with nearest-neighbor interactions that are driven between two reservoirs. Density profiles in these systems exhibit oscillat…
Attempt-time Monte Carlo: an alternative for simulation of stochastic jump processes with time-dependent transition rates
Viktor Holubec, Petr Chvosta, Mario Einax +1
We present a new method for simulating Markovian jump processes with time-dependent transitions rates, which avoids the transformation of random numbers by inverting time integrals…
Time-Dependent Density Functional Theory for Driven Lattice Gas Systems with Interactions
Marcel Dierl, Philipp Maass, Mario Einax
We present a new method to describe the kinetics of driven lattice gases with particle-particle interactions beyond hard-core exclusions. The method is based on the time-dependent…
Island size distributions in submonolayer growth: successful prediction by mean field theory with coverage dependent capture numbers
Martin Körner, Mario Einax, Philipp Maass
We show that mean-field rate equations for submonolayer growth can successfully predict island size distributions in the pre-coalescence regime if the full dependence of capture nu…
Unidirectional hopping transport of interacting particles on a finite chain
Mario Einax, Gemma Solomon, Wolfgang Dieterich +1
Particle transport through an open, discrete 1-D channel against a mechanical or chemical bias is analyzed within a master equation approach. The channel, externally driven by time…
Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions
Petr Chvosta, Mario Einax, Viktor Holubec +2
We investigate a microscopic motor based on an externally controlled two-level system. One cycle of the motor operation consists of two strokes. Within each stroke, the two-level s…
Nonlinear hopping transport in ring systems and open channels
Mario Einax, Martin Koerner, Philipp Maass +1
We study the nonlinear hopping transport in one-dimensional rings and open channels. Analytical results are derived for the stationary current response to a constant bias without a…
Mode Coupling Approach for spin-facilitated kinetic Ising models
Mario Einax, Michael Schulz
The d-dimensional n-spin facilitated kinetic Ising model is studied analytically starting from usual master equations and their transformation into a Fock-space representation. The…