One-dimensional transport of interacting particles: Currents, density profiles, phase diagrams, and symmetries

Dierl, Marcel; Einax, Mario; Maass, Philipp

doi:10.1103/physreve.87.062126

Cited by 41 publications

(78 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This implies that in the PA the exact location of most SS phase transitions is recovered. These exact results, and as a consequence the location of most transition lines in the phase diagram, can also be obtained by using the CMF theory in [18,19] or the MCAK [12][13][14]. Let us focus on the SS phase diagram, in the limit of large lattice size N , using as parameters, in addition to q and r, the densities ρ L and ρ R .…”

mentioning

confidence: 98%

Dynamical transitions in a driven diffusive model with interactions

Botto

Pelizzola

Pretti

2018

EPL

View full text Add to dashboard Cite

We study the dynamics of an asymmetric simple exclusion process with open boundaries and local interactions using a pair approximation which generalizes the 2-node cluster mean field theory and the Markov chain approach to kinetics and shares with these approaches the property of reproducing exact results for the bulk current-density relation and the steady state phase diagrams. We find that the relaxation rate exhibits a dynamical transition, with no static counterpart, analogous to that found without interactions. Remarkably, for some values of the model's parameters, we find 2 dynamical transitions in the same low density phase. We study the dynamics of relaxation to the steady state on both sides of these transitions and make an attempt at providing a physical interpretation for this phenomenon. Results from numerical approaches and a modified Domain Wall Theory confirm the picture provided by the pair approximation. p-7

show abstract

mentioning

confidence: 98%

Dynamical transitions in a driven diffusive model with interactions

Botto

Pelizzola

Pretti

2018

EPL

View full text Add to dashboard Cite

show abstract

“…[27][28][29][30][31][32] An elegant network representation [33] can be used to depict the transitions between the six possible states shown in Fig. 2(a).…”

mentioning

confidence: 99%

Multiple state representation scheme for organic bulk heterojunction solar cells: A novel analysis perspective

Einax¹,

Dierl²,

Schiff³

et al. 2013

EPL

Self Cite

View full text Add to dashboard Cite

Abstract. -The physics of organic bulk heterojunction solar cells is studied within a six state model, which is used to analyze the factors that affect current-voltage characteristics, powervoltage properties and efficiency, and their dependence on nonradiative losses, reorganization of the nuclear environment, and environmental polarization. Both environmental reorganization and polarity is explicitly taken into account by incorporating Marcus heterogeneous and homogeneous electron transfer rates. The environmental polarity is found to have a non-negligible influence both on the stationary current and on the overall solar cell performance. For our organic bulk heterojunction solar cell operating under steady-state open circuit condition, we also find that the open circuit voltage logarithmically decreases with increasing nonradiative electron-hole recombination processes.Considerable progress has been achieved in improving the device efficiency of bulk heterojunction (BHJ) organic solar cells, with a recently set record of 10.7%. [1,2] Much of this success came about by searching for promising electron-donor polymers characterized by low optical gap, using fullerene based electron-acceptor derivatives and optimizing the interpenetrated frozen-in microstructures. Such phase-separated blend morphologies are distinguished by a large interface area between the donor and the acceptor phases, which is a prerequisite to tailor most efficient organic photovoltaic solar cells (OPVs). While material design is one successful strategy to improve the OPV setup, another is to focus on the device physics by developing approaches that take into account physical and chemical features of BHJ organic solar cells in order to improve their dynamical operation. In the last two years there appeared several reviews [3][4][5][6][7] and perspective articles [8, 9] about both material designs and device physics giving an excellent account of the state-of-the-art for organic photovoltaics.In the context of solar energy conversion, device physics aims to identify routes for improved cell performance by studying models that account for both the material prop-(a) E-mail: meinax@uos.de erties and the underlying microscopic principles of the energy conversion processes, i. e. structural and energetics system parameters, in order to identify critical factors that affect the overall OPV performance. Thus, the generated free carriers in a photovoltaic device, which can be harvested at the electrodes, are limited by the complex interplay between charge generation, diffusion, and recombination processes. In BHJ organic solar cells the generation of free charge carriers requires that photoinduced excitons (bounded electron-hole pairs) on the donor material must diffuse to and dissociate at the donor-acceptor (D-A) interface before their recombination takes place. This exciton dissociation at the D-A interface starts with the formation of a charge transfer (CT) state (a geminate pair), where the hole and the electron remain at close proximity on thei...

show abstract

“…How theses phases change with experimentally tunable control parameters depends on details of the system reservoir couplings [40,41]. However, all possible phases can be derived from extremal current principles [36,38,41]. The arguments leading to these principles are quite general for driven diffusive systems and are valid also for driven Brownian motion.…”

Section: F Phase Transitions In Open Systemsmentioning

confidence: 99%

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

2019

Self Cite

View full text Add to dashboard Cite

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand basic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced. In this BASEP, hard rods are driven by a constant drag force through a periodic potential with an amplitude much larger than the thermal energy. Here we derive general properties of the collective dynamics in the BASEP, discuss its connection to single-file transport by traveling wave potentials, and give a complete description of currents in steady states for all particle densities and diameters. For the open BASEP coupled to particle reservoirs, the nonequilibrium phases predicted by extremal current principles are verified by Brownian dynamics simulations. * dlips@uos.de †

show abstract

One-dimensional transport of interacting particles: Currents, density profiles, phase diagrams, and symmetries

Cited by 41 publications

References 44 publications

Dynamical transitions in a driven diffusive model with interactions

Dynamical transitions in a driven diffusive model with interactions

Multiple state representation scheme for organic bulk heterojunction solar cells: A novel analysis perspective

Single-file transport in periodic potentials: The Brownian asymmetric simple exclusion process

Contact Info

Product

Resources

About