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Boriskovsky D, Cohen D. Negative mobility, sliding, and delocalization for stochastic networks. Phys Rev E 2020; 101:062129. [PMID: 32688471 DOI: 10.1103/physreve.101.062129] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2019] [Accepted: 06/02/2020] [Indexed: 06/11/2023]
Abstract
We consider prototype configurations for quasi-one-dimensional stochastic networks that exhibit negative mobility, meaning that current decreases or even reversed as the bias is increased. We then explore the implications of disorder. In particular, we ask whether lower and upper bias thresholds restrict the possibility to witness nonzero current (sliding and antisliding transitions, respectively), and whether a delocalization effect manifests itself (crossover from over-damped to under-damped relaxation). In the latter context detailed analysis of the relaxation spectrum as a function of the bias is provided for both on-chain and off-chain disorder.
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Affiliation(s)
- Dima Boriskovsky
- Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
| | - Doron Cohen
- Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
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2
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Simonović I, Bošnjaković D, Petrović ZL, Stokes P, White RD, Dujko S. Third-order transport coefficient tensor of charged-particle swarms in electric and magnetic fields. Phys Rev E 2020; 101:023203. [PMID: 32168642 DOI: 10.1103/physreve.101.023203] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/09/2019] [Accepted: 12/23/2019] [Indexed: 11/07/2022]
Abstract
Third-order transport coefficient tensor of charged-particle swarms in neutral gases in the presence of spatially uniform electric and magnetic fields is considered using a multiterm solution of Boltzmann's equation and Monte Carlo simulation technique. The structure of the third-order transport coefficient tensor and symmetries along its individual components in varying configurations of electric and magnetic fields are addressed using a group projector technique and through symmetry considerations of the Boltzmann equation. In addition, we focus upon the physical interpretation of the third-order transport coefficient tensor by considering the extended diffusion equation which incorporates the contribution of the third-order transport coefficients to the density profile of charged particles. Numerical calculations are carried out for electron and ion swarms for a range of model gases with the aim of establishing accurate benchmarks for third-order transport coefficients. The effects of ion to neutral-particle mass ratio are also examined. The errors of the two-term approximation for solving the Boltzmann equation and limitations of previous treatments of the high-order charged-particle transport properties are also highlighted.
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Affiliation(s)
- I Simonović
- Institute of Physics, University of Belgrade, PO Box 68, 11080 Belgrade, Serbia
| | - D Bošnjaković
- Institute of Physics, University of Belgrade, PO Box 68, 11080 Belgrade, Serbia
| | - Z Lj Petrović
- Serbian Academy of Sciences and Arts, Knez Mihailova 35, 11001 Belgrade, Serbia
| | - P Stokes
- College of Science and Engineering, James Cook University, 4810 Townsville, Australia
| | - R D White
- College of Science and Engineering, James Cook University, 4810 Townsville, Australia
| | - S Dujko
- Institute of Physics, University of Belgrade, PO Box 68, 11080 Belgrade, Serbia
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Bénichou O, Illien P, Oshanin G, Sarracino A, Voituriez R. Microscopic theory for negative differential mobility in crowded environments. PHYSICAL REVIEW LETTERS 2014; 113:268002. [PMID: 25615388 DOI: 10.1103/physrevlett.113.268002] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2014] [Indexed: 06/04/2023]
Abstract
We study the behavior of the stationary velocity of a driven particle in an environment of mobile hard-core obstacles. Based on a lattice gas model, we demonstrate analytically that the drift velocity can exhibit a nonmonotonic dependence on the applied force, and show quantitatively that such negative differential mobility (NDM), observed in various physical contexts, is controlled by both the density and diffusion time scale of the obstacles. Our study unifies recent numerical and analytical results obtained in specific regimes, and makes it possible to determine analytically the region of the full parameter space where NDM occurs. These results suggest that NDM could be a generic feature of biased (or active) transport in crowded environments.
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Affiliation(s)
- O Bénichou
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France
| | - P Illien
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France
| | - G Oshanin
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France
| | - A Sarracino
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France
| | - R Voituriez
- Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France
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4
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Petrović ZL, Marjanović S, Dujko S, Banković A, Malović G, Buckman S, Garcia G, White R, Brunger M. On the use of Monte Carlo simulations to model transport of positrons in gases and liquids. Appl Radiat Isot 2014; 83 Pt B:148-54. [DOI: 10.1016/j.apradiso.2013.01.010] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2012] [Revised: 12/29/2012] [Accepted: 01/02/2013] [Indexed: 10/27/2022]
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Robson RE, Nicoletopoulos P, Hildebrandt M, White RD. Fundamental issues in fluid modeling: Direct substitution and aliasing methods. J Chem Phys 2012; 137:214112. [DOI: 10.1063/1.4768421] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hoder T, Loffhagen D, Wilke C, Grosch H, Schäfer J, Weltmann KD, Brandenburg R. Striated microdischarges in an asymmetric barrier discharge in argon at atmospheric pressure. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:046404. [PMID: 22181280 DOI: 10.1103/physreve.84.046404] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/16/2010] [Revised: 07/19/2011] [Indexed: 05/31/2023]
Abstract
The investigation of striated microdischarges in barrier discharges in argon at atmospheric pressure is reported. Microdischarges were investigated by means of electrical measurements correlated with intensified CCD camera imaging. The scaling law theory known from low-pressure glow discharge diagnostics was applied in order to describe and explain this phenomenon. The investigated microdischarge is characterized as a transient atmospheric-pressure glow discharge with a stratified column. It can be described by similarity parameters i/r≈0.13 A/cm, pr≈5 Torr cm, and 3<λ/r<5 with the current i, pressure p, interval of subsequent striations λ, and radius of the plasma channel r. An attempt to describe the mechanism of creation of a striated structure is given, based on an established model of the spatial electron relaxation.
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Affiliation(s)
- Tomáš Hoder
- Leibniz Institute for Plasma Science and Technology, Felix-Hausdorff-Str. 2, D-17489 Greifswald, Germany.
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Abstract
We present transport coefficients for electrons in mixtures of BF3 with its
radicals (specifically F and F2) for ratios of the electric field to the gas
number density E/N from 1 to 1000 Td (1 Td = 10-21 V m2). Our analysis of
non-conservative collisions revealed a range of E/N where electron
attachment to radicals significantly changes the electron kinetics compared
to pure gaseous BF3. The results were obtained using simple solutions for
Boltzmann?s equation and Monte Carlo simulation.
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White RD, Robson RE. Positron kinetics in soft condensed matter. PHYSICAL REVIEW LETTERS 2009; 102:230602. [PMID: 19658916 DOI: 10.1103/physrevlett.102.230602] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2009] [Revised: 04/30/2009] [Indexed: 05/28/2023]
Abstract
We outline a new kinetic theory for positrons in soft matter, which blends together cross sections for positrons scattering from single molecules, with the structure function of the medium as a whole. Numerical results are presented for positrons in liquid argon, where negative differential conductivity arises from both positron formation and the structure of the medium.
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Affiliation(s)
- R D White
- ARC Centre for Antimatter-Matter Studies, James Cook University, Townsville 4810, Australia.
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Vainshtein S, Kostamovaara J, Yuferev V, Knap W, Fatimy A, Diakonova N. Terahertz emission from collapsing field domains during switching of a gallium arsenide bipolar transistor. PHYSICAL REVIEW LETTERS 2007; 99:176601. [PMID: 17995354 DOI: 10.1103/physrevlett.99.176601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2007] [Indexed: 05/25/2023]
Abstract
Broadband pulsed THz emission with peak power in the sub-mW range has been observed experimentally during avalanche switching in a gallium arsenide bipolar junction transistor at room temperature, while significantly higher total generated power is predicted in simulations. The emission is attributed to very fast oscillations in the conductivity current across the switching channels, which appear as a result of temporal evolution of the field domains generated in highly dense electron-hole plasma. This plasma is formed in turn by powerful impact ionization in multiple field domains of ultrahigh amplitude.
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Affiliation(s)
- Sergey Vainshtein
- University of Oulu, Department of Electricity and Information Engineering, Electricity Laboratory, Oulu, FIN-90014, Finland
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Sasić O, Jovanović J, Petrović ZL, de Urquijo J, Castrejón-Pita JR, Hernández-Avila JL, Basurto E. Electron drift velocities in mixtures of helium and xenon and experimental verification of corrections to Blanc's law. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:046408. [PMID: 15903795 DOI: 10.1103/physreve.71.046408] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/10/2004] [Indexed: 05/02/2023]
Abstract
Measurements of electron drift velocities were performed in pure Xe and He and in a number of mixtures ranging up to 70% of Xe. The data were obtained by using a pulsed Townsend technique over the density-normalized electric field strength E/N between 1 and 100 Td . Even for pure gases there are no data in the entire range covered here, and these data represent an extension of accurate drift velocities to higher E/N. A selection of well-established cross sections for low energies, which was extended to higher energies, led to a reasonably good agreement of the calculated transport coefficients with the available data. At the same time we have applied the standard (common E/N) Blanc's law and two forms of common mean energy (CME, due to Chiflykian) procedures. Blanc's law fails for most mixtures at low and moderate E/N, while the CME procedure is capable of following the experimental data for the mixtures much more closely, and even predicting the negative differential conductivity region when such effect does not exist for pure gases. Thus the present paper also represents an experimental test of procedures to correct the standard Blanc's law. Finally, we have used the data for two mixtures to obtain results for the third mixture and in all cases this procedure gave excellent results even though only the standard Blanc's law was used in the process.
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Affiliation(s)
- O Sasić
- Institute of Physics, P.O.B. 68, 11080 Zemun-Belgrade, Serbia and Montenegro
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Koutselos AD. Third-order transport coefficients of ions in electrostatic fields. J Chem Phys 1999. [DOI: 10.1063/1.477914] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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12
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Vrhovac SB, Petrović ZL, Viehland LA, Santhanam TS. Third-order transport coefficients for charged particle swarms. J Chem Phys 1999. [DOI: 10.1063/1.477948] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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