@article{
 title = {Memory Effects in Active Particles with Exponentially Correlated Propulsion},
 type = {article},
 year = {2017},
 websites = {https://arxiv.org/pdf/1705.01610.pdf},
 id = {b7fcd49c-f8e4-3ba2-ad90-476b36c737b3},
 created = {2018-04-05T20:02:42.235Z},
 accessed = {2018-04-05},
 file_attached = {true},
 profile_id = {3187ec9d-0fcc-3ba2-91e0-3075df9b18c3},
 group_id = {d75e47fd-ff52-3a4b-bf1e-6ebc7e454352},
 last_modified = {2018-04-23T16:00:19.304Z},
 read = {false},
 starred = {false},
 authored = {false},
 confirmed = {false},
 hidden = {false},
 citation_key = {Sandford2017},
 private_publication = {false},
 abstract = {The Ornstein–Uhlenbeck Particle (OUP) is a microscopic swimmer model which imagines a par-ticle propelled by an active force which is correlated with itself on a finite time-scale. Here we investigate the influence of external potentials on OUP behaviour, in both one and two spatial di-mensions, with particular attention paid to the pressure exerted by an ideal suspension of OUPs. We develop a mathematical connection between the local density of OUPs and the statistics of their propulsion force, demonstrating the existence of an equation of state in one dimension, and its absence in higher dimensions. These insights are combined with a simplified far-from-equilibrium model to account for OUP behaviour in the vicinity of potentials. Building on this, we interpret simulations of OUPs in more complicated situations involving asymmetrical and spatially curved po-tentials, characterising the inhomogeneous local stresses which are engendered in terms of competing active length-scales.},
 bibtype = {article},
 author = {Sandford, Cato and Grosberg, Alexander Y}
}

{"_id":"fazmsyY6md8SpqLuT","bibbaseid":"sandford-grosberg-memoryeffectsinactiveparticleswithexponentiallycorrelatedpropulsion-2017","downloads":0,"creationDate":"2018-04-05T20:18:09.039Z","title":"Memory Effects in Active Particles with Exponentially Correlated Propulsion","author_short":["Sandford, C.","Grosberg, A., Y."],"year":2017,"bibtype":"article","biburl":null,"bibdata":{"title":"Memory Effects in Active Particles with Exponentially Correlated Propulsion","type":"article","year":"2017","websites":"https://arxiv.org/pdf/1705.01610.pdf","id":"b7fcd49c-f8e4-3ba2-ad90-476b36c737b3","created":"2018-04-05T20:02:42.235Z","accessed":"2018-04-05","file_attached":"true","profile_id":"3187ec9d-0fcc-3ba2-91e0-3075df9b18c3","group_id":"d75e47fd-ff52-3a4b-bf1e-6ebc7e454352","last_modified":"2018-04-23T16:00:19.304Z","read":false,"starred":false,"authored":false,"confirmed":false,"hidden":false,"citation_key":"Sandford2017","private_publication":false,"abstract":"The Ornstein–Uhlenbeck Particle (OUP) is a microscopic swimmer model which imagines a par-ticle propelled by an active force which is correlated with itself on a finite time-scale. Here we investigate the influence of external potentials on OUP behaviour, in both one and two spatial di-mensions, with particular attention paid to the pressure exerted by an ideal suspension of OUPs. We develop a mathematical connection between the local density of OUPs and the statistics of their propulsion force, demonstrating the existence of an equation of state in one dimension, and its absence in higher dimensions. These insights are combined with a simplified far-from-equilibrium model to account for OUP behaviour in the vicinity of potentials. Building on this, we interpret simulations of OUPs in more complicated situations involving asymmetrical and spatially curved po-tentials, characterising the inhomogeneous local stresses which are engendered in terms of competing active length-scales.","bibtype":"article","author":"Sandford, Cato and Grosberg, Alexander Y","bibtex":"@article{\n title = {Memory Effects in Active Particles with Exponentially Correlated Propulsion},\n type = {article},\n year = {2017},\n websites = {https://arxiv.org/pdf/1705.01610.pdf},\n id = {b7fcd49c-f8e4-3ba2-ad90-476b36c737b3},\n created = {2018-04-05T20:02:42.235Z},\n accessed = {2018-04-05},\n file_attached = {true},\n profile_id = {3187ec9d-0fcc-3ba2-91e0-3075df9b18c3},\n group_id = {d75e47fd-ff52-3a4b-bf1e-6ebc7e454352},\n last_modified = {2018-04-23T16:00:19.304Z},\n read = {false},\n starred = {false},\n authored = {false},\n confirmed = {false},\n hidden = {false},\n citation_key = {Sandford2017},\n private_publication = {false},\n abstract = {The Ornstein–Uhlenbeck Particle (OUP) is a microscopic swimmer model which imagines a par-ticle propelled by an active force which is correlated with itself on a finite time-scale. Here we investigate the influence of external potentials on OUP behaviour, in both one and two spatial di-mensions, with particular attention paid to the pressure exerted by an ideal suspension of OUPs. We develop a mathematical connection between the local density of OUPs and the statistics of their propulsion force, demonstrating the existence of an equation of state in one dimension, and its absence in higher dimensions. These insights are combined with a simplified far-from-equilibrium model to account for OUP behaviour in the vicinity of potentials. Building on this, we interpret simulations of OUPs in more complicated situations involving asymmetrical and spatially curved po-tentials, characterising the inhomogeneous local stresses which are engendered in terms of competing active length-scales.},\n bibtype = {article},\n author = {Sandford, Cato and Grosberg, Alexander Y}\n}","author_short":["Sandford, C.","Grosberg, A., Y."],"urls":{"Paper":"https://bibbase.org/service/mendeley/3187ec9d-0fcc-3ba2-91e0-3075df9b18c3/file/15737d21-412f-4b43-13af-8f1f49d3e019/2017-Memory_Effects_in_Active_Particles_with_Exponentially_Correlated_Propulsion.pdf.pdf","Website":"https://arxiv.org/pdf/1705.01610.pdf"},"bibbaseid":"sandford-grosberg-memoryeffectsinactiveparticleswithexponentiallycorrelatedpropulsion-2017","role":"author","downloads":0},"search_terms":["memory","effects","active","particles","exponentially","correlated","propulsion","sandford","grosberg"],"keywords":[],"authorIDs":[]}