%0 Journal Article %1 ISI:000318475400004 %A Demery, Vincent %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2013 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported iscpif %N 5 %R 10.1103/PhysRevE.87.052105 %T Diffusion of a particle quadratically coupled to a thermally fluctuating field %V 87 %X We study the diffusion of a Brownian particle quadratically coupled to a thermally fluctuating field. In the weak-coupling limit, a path-integral formulation allows us to compute the effective diffusion coefficient in the cases of an active particle, which tends to suppress field fluctuations, and of a passive particle, which only undergoes field fluctuations. We show that the behavior is similar to what was previously found for a linear coupling: an active particle is always slowed down, whereas a passive particle is slowed down in a slow field and accelerated in a fast field. Numerical simulations show a good agreement with the analytical calculations. The examples of a membrane protein coupled to the curvature or composition of the membrane are discussed, with a focus on the room for anomalous diffusion.

@article{ISI:000318475400004, abstract = {{We study the diffusion of a Brownian particle quadratically coupled to a thermally fluctuating field. In the weak-coupling limit, a path-integral formulation allows us to compute the effective diffusion coefficient in the cases of an active particle, which tends to suppress field fluctuations, and of a passive particle, which only undergoes field fluctuations. We show that the behavior is similar to what was previously found for a linear coupling: an active particle is always slowed down, whereas a passive particle is slowed down in a slow field and accelerated in a fast field. Numerical simulations show a good agreement with the analytical calculations. The examples of a membrane protein coupled to the curvature or composition of the membrane are discussed, with a focus on the room for anomalous diffusion.}}, added-at = {2015-05-15T21:46:32.000+0200}, address = {{ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}}, affiliation = {{Demery, V (Reprint Author), Univ Paris 06, CNRS, Inst Jean Rond Alembert, UMR 7190, F-75005 Paris, France. Univ Paris 06, CNRS, Inst Jean Rond Alembert, UMR 7190, F-75005 Paris, France. Demery, Vincent, Univ Paris 06, UPMC, UMR 7190, F-75005 Paris, France.}}, article-number = {{052105}}, author = {Demery, Vincent}, author-email = {{vincent.demery@polytechnique.edu}}, biburl = {https://www.bibsonomy.org/bibtex/266469ef49956231d20d36a5884c95a8f/iscpif}, cited-references = {{Aron C, 2010, J STAT MECH-THEORY E, DOI 10.1088/1742-5468/2010/11/P11018. Bitbol AF, 2010, PHYS REV E, V81, DOI 10.1103/PhysRevE.81.050903. Bitbol AF, 2011, PHYS REV E, V83, DOI 10.1103/PhysRevE.83.061107. BOUCHAUD JP, 1990, PHYS REP, V195, P127, DOI 10.1016/0370-1573(90)90099-N. Camley BA, 2012, PHYS REV E, V85, DOI 10.1103/PhysRevE.85.061921. Dean D. S., 2011, J PHYS CONDENS MATT, V23. Demery V, 2010, PHYS REV LETT, V104, DOI 10.1103/PhysRevLett.104.080601. Demery V, 2010, EUR PHYS J E, V32, P377, DOI 10.1140/epje/i2010-10640-1. Demery V, 2011, PHYS REV E, V84, DOI 10.1103/PhysRevE.84.010103. Demery V, 2011, PHYS REV E, V84, DOI 10.1103/PhysRevE.84.011148. Douglass KM, 2012, NAT PHOTONICS, V6, P833, DOI {[}10.1038/nphoton.2012.278, 10.1038/NPHOTON.2012.278]. DYSON FJ, 1949, PHYS REV, V75, P486, DOI 10.1103/PhysRev.75.486. Einstein A, 1905, ANN PHYS-BERLIN, V17, P549. Gambin Y, 2006, P NATL ACAD SCI USA, V103, P2098, DOI 10.1073/pnas.0511026103. GOULIAN M, 1993, EUROPHYS LETT, V22, P145, DOI 10.1209/0295-5075/22/2/012. Honerkamp-Smith AR, 2009, BBA-BIOMEMBRANES, V1788, P53, DOI 10.1016/j.bbamem.2008.09.010. Leitenberger SM, 2008, LANGMUIR, V24, P1254, DOI 10.1021/la702319q. Lin LCL, 2004, PHYS REV LETT, V93, DOI 10.1103/PhysRevLett.93.256001. Machta BB, 2012, PHYS REV LETT, V109, DOI 10.1103/PhysRevLett.109.138101. Naji A, 2009, PHYS REV LETT, V102, DOI 10.1103/PhysRevLett.102.138102. Naji A, 2007, BIOPHYS J, V93, pL49, DOI {[}10.1529/biophysj.107.119222, 10.1529/biophysj.l07.119222]. Naji A, 2007, J CHEM PHYS, V126, DOI 10.1063/1.2739526. Reister E, 2005, EUROPHYS LETT, V71, P859, DOI 10.1209/epl/i2005-10139-6. Reister-Gottfried E, 2007, PHYS REV E, V75, DOI 10.1103/PhysRevE.75.011908. Reister-Gottfried E, 2010, PHYS REV E, V81, DOI 10.1103/PhysRevE.81.031903. Reynwar BJ, 2008, BIOINTERPHASES, V3, pFA117, DOI 10.1116/1.2977492. SAFFMAN PG, 1975, P NATL ACAD SCI USA, V72, P3111, DOI 10.1073/pnas.72.8.3111. Sens P, 2011, PHYS REV LETT, V106, DOI 10.1103/PhysRevLett.106.238101. Tabei SMA, 2013, P NATL ACAD SCI USA, V110, P4911, DOI 10.1073/pnas.1221962110. Wang B, 2009, P NATL ACAD SCI USA, V106, P15160, DOI 10.1073/pnas.0903554106.}}, doc-delivery-number = {{137YV}}, doi = {{10.1103/PhysRevE.87.052105}}, funding-acknowledgement = {{Institut des Systemes Complexes de Paris Ile de France}}, funding-text = {{I acknowledge funding from the Institut des Systemes Complexes de Paris Ile de France.}}, interhash = {2d3994b2d123fb9d661967f9f3552d2f}, intrahash = {66469ef49956231d20d36a5884c95a8f}, issn = {{1539-3755}}, journal = {{PHYSICAL REVIEW E}}, journal-iso = {{Phys. Rev. E}}, keywords = {imported iscpif}, keywords-plus = {{MEMBRANES; PROTEIN; MOBILITY; FORCES; MOTION; MEDIA}}, language = {{English}}, month = {{MAY 6}}, number = {{5}}, number-of-cited-references = {{30}}, publisher = {{AMER PHYSICAL SOC}}, research-areas = {{Physics}}, times-cited = {{2}}, timestamp = {2015-05-15T21:55:03.000+0200}, title = {{Diffusion of a particle quadratically coupled to a thermally fluctuating field}}, type = {{Article}}, unique-id = {{ISI:000318475400004}}, volume = {{87}}, web-of-science-categories = {{Physics, Fluids \& Plasmas; Physics, Mathematical}}, year = 2013 }