PMID: 11909026Mar 23, 2002Paper

Diffusion in tilted periodic potentials: Enhancement, universality, and scaling

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P ReimannA Pérez-Madrid

Abstract

An exact analytical expression for the effective diffusion coefficient of an overdamped Brownian particle in a tilted periodic potential is derived for arbitrary potentials and arbitrary strengths of the thermal noise. Near the critical tilt (threshold of deterministic running solutions) a scaling behavior for weak thermal noise is revealed and various universality classes are identified. In comparison with the bare (potential-free) thermal diffusion, the effective diffusion coefficient in a critically tilted periodic potential may be, in principle, arbitrarily enhanced. For a realistic experimental setup, an enhancement by 14 orders of magnitude is predicted so that thermal diffusion should be observable on a macroscopic scale at room temperature.

References

May 15, 1991·Proceedings of the National Academy of Sciences of the United States of America·A Ajdari, J Prost
Apr 9, 1998·Biophysical Journal·C L Asbury, G van den Engh
Oct 15, 1991·Physical Review. a·I Claes, Van den Broeck C
Aug 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P Reimann
Jun 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·L P FaucheuxA Libchaber
Jun 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Kurrer, K Schulten
May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G I Nixon, G W Slater
Oct 1, 1992·Physical Review. B, Condensed Matter·B Y ShapiroG H Weiss
Jan 14, 1985·Physical Review Letters·J W Frenken, van der Veen JF
Dec 7, 1987·Physical Review Letters·B Pluis van der Veen aJ
Oct 1, 1990·Physical Review Letters·P Gaspard, G Nicolis
Apr 4, 1994·Physical Review Letters·K WiesenfeldF Moss
Jan 9, 1995·Physical Review Letters· Cowell Senft D, G Ehrlich
Jan 16, 1995·Physical Review Letters·R Klages, J R Dorfman
Oct 4, 2000·Physical Review Letters·M Borromeo, F Marchesoni
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D RegueraA Perez-Madrid
Jul 20, 2001·Physical Review Letters·P ReimannA Pérez-Madrid

❮ Previous
Next ❯

Citations

Mar 21, 2013·The European Physical Journal. E, Soft Matter·Justus A KromerHolger Stark
Sep 27, 2003·Neural Computation·Benjamin LindnerAdi Bulsara
Sep 17, 2013·PloS One·John H MillerJames R Claycomb
Aug 14, 2009·The Journal of Chemical Physics·Leonardo Dagdug, Alexander M Berezhkovskii
Aug 10, 2013·The Journal of Chemical Physics·Pavol Kalinay
Oct 15, 2010·The Journal of Chemical Physics·Alexander M Berezhkovskii, Leonardo Dagdug
Dec 3, 2008·The Journal of Chemical Physics·Satyabrata BhattacharyaJyotipratim Ray Chaudhuri
Jul 23, 2005·Chaos·M Borromeo, F Marchesoni
Mar 12, 2008·The Journal of Chemical Physics·Serdal Kirmizialtin, Dmitrii E Makarov
Mar 27, 2012·The Journal of Chemical Physics·E Muñoz-GutiérrezG Espinosa-Paredes
Apr 14, 2010·Proceedings of the National Academy of Sciences of the United States of America·Jurij KotarPietro Cicuta
Jan 3, 2016·The Journal of Chemical Physics·Huai DingZhonghuai Hou
May 23, 2015·Nature Communications·Michael P N JuniperRoel P A Dullens
Sep 27, 2012·Biophysical Journal·Peter ReimannSebastian Getfert
Jan 13, 2015·The Journal of Chemical Physics·Pavol Kalinay
Jan 7, 2017·Soft Matter·Mattia MarendaCristian Micheletti
Jan 20, 2018·Physical Review. E·Yongge LiJürgen Kurths
Dec 17, 2004·Physical Review Letters·Peter Reimann, Mykhaylo Evstigneev
Nov 26, 2008·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·P Sekhar BuradaPeter Talkner
Feb 23, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·W RieflerP Hänggi
Nov 30, 2005·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Lukasz MachuraJerzy Luczka
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander A Dubkov, Bernardo Spagnolo
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·James P GleesonKatja Lindenberg
May 23, 2006·Physical Review Letters·D RegueraP Hänggi
Jun 29, 2006·Physical Review Letters·Sang-Hyuk Lee, David G Grier
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Malay BandyopadhyayMonamie Sanyal
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L MachuraP Hänggi
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takenobu Nakamura, Shin-ichi Sasa
Mar 16, 2007·Physical Review Letters·Katja LindenbergI M Sokolov
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kun Lü, Jing-Dong Bao
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mykhaylo EvstigneevPeter Reimann
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satyabrata BhattacharyaJyotipratim Ray Chaudhuri
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mykhaylo EvstigneevPeter Reimann
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pavol Kalinay
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peter SieglePeter Hänggi
Feb 14, 2012·Physical Review Letters·D RegueraP Hänggi
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Massimiliano Giona, Fabio Garofalo
Sep 8, 2019·The Journal of Chemical Physics·Narender Khatri, P S Burada
Nov 22, 2012·Reports on Progress in Physics·Udo Seifert
Dec 15, 2016·Physical Review. E·Viktor M RozenbaumSheng Hsien Lin
Jan 14, 2017·Physical Review. E·Sascha Gerloff, Sabine H L Klapp
May 12, 2017·Scientific Reports·Martin ŠilerPavel Zemánek

❮ Previous
Next ❯

Related Feeds

Antifungals (ASM)

An antifungal, also known as an antimycotic medication, is a pharmaceutical fungicide or fungistatic used to treat and prevent mycosis such as athlete's foot, ringworm, candidiasis, cryptococcal meningitis, and others. Discover the latest research on antifungals here.

Antifungals

An antifungal, also known as an antimycotic medication, is a pharmaceutical fungicide or fungistatic used to treat and prevent mycosis such as athlete's foot, ringworm, candidiasis, cryptococcal meningitis, and others. Discover the latest research on antifungals here.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Debasis Dan, A M Jayannavar
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L MachuraP Hänggi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M BorromeoF Marchesoni
© 2022 Meta ULC. All rights reserved