Diffusion of a massive particle in a periodic potential: Application to adiabatic ratchets

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V M RozenbaumSheng Hsien Lin

Abstract

We generalize a theory of diffusion of a massive particle by the way in which transport characteristics are described by analytical expressions that formally coincide with those for the overdamped massless case but contain a factor comprising the particle mass which can be calculated in terms of Risken's matrix continued fraction method (MCFM). Using this generalization, we aim to elucidate how large gradients of a periodic potential affect the current in a tilted periodic potential and the average current of adiabatically driven on-off flashing ratchets. For this reason, we perform calculations for a sawtooth potential of the period L with an arbitrary sawtooth length (l<L) instead of the smooth potentials typically considered in MCFM-solvable problems. We find nonanalytic behavior of the transport characteristics calculated for the sharp extremely asymmetric sawtooth potential at l→0 which appears due to the inertial effect. Analysis of the temperature dependences of the quantities under study reveals the dominant role of inertia in the high-temperature region. In particular, we show, by the analytical strong-inertia approach developed for this region, that the temperature-dependent contribution to the mobility at zero force ...Continue Reading

References

Oct 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R FerrandoG E Tommei
Oct 4, 2000·Physical Review Letters·J L Mateos
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Laurent Sanchez-Palencia
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L MachuraP Hänggi
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M RozenbaumT Y Tsong
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabio MarchesoniFranco Nori
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W T CoffeyB P Mulligan
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M RozenbaumK K Liang
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Saikia, Mangal C Mahato
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H J ChenH C Tseng
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M RozenbaumM L Dekhtyar
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S SaikiaMangal C Mahato
Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M RozenbaumS H Lin
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P K GhoshG Schmid
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Viktor M RozenbaumSheng Hsien Lin

❮ Previous
Next ❯

Citations

Oct 3, 2019·Physical Review. E·V M RozenbaumL I Trakhtenberg
Dec 15, 2016·Physical Review. E·Viktor M RozenbaumSheng Hsien Lin
Aug 21, 2021·Physical Review. E·V M RozenbaumL I Trakhtenberg

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V M RozenbaumSheng Hsien Lin
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Els HeinsaluTeet Ord
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
O UsmaniM Büttiker
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Debasis Dan, A M Jayannavar
© 2022 Meta ULC. All rights reserved