Doi-Peliti field theory of free active Ornstein-Uhlenbeck particles

被引：16

作者：

Bothe, Marius ^{[1
]}

Pruessner, Gunnar ^{[1
]}

机构：

[1] Imperial Coll London, London SW7 2AZ, England

来源：

PHYSICAL REVIEW E | 2021年 / 103卷 / 06期

关键词：

RENORMALIZATION; DYNAMICS;

D O I：

10.1103/PhysRevE.103.062105

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We derive a Doi-Peliti field theory for free active Ornstein-Uhlenbeck particles, or, equivalently, free inertial Brownian particles, and present a way to diagonalize the quadratic part of the action and calculate the propagator. Unlike previous coarse-grained approaches this formulation correctly tracks particle identity and yet can easily be expanded to include potentials and arbitrary reactions.

引用

页数：7

共 35 条

[1]

Berg H C., 2004, E COLI MOTION, DOI DOI 10.1007/B97370

[2] From disorder to order in marching locusts [J].

Buhl, J ;

Sumpter, DJT ;

Couzin, ID ;

Hale, JJ ;

Despland, E ;

Miller, ER ;

Simpson, SJ .

SCIENCE, 2006, 312 (5778) :1402-1406

[3]

Cardy J., 2009, LONDON MATH SOC LECT, V355, P108

[4] Motility-Induced Phase Separation [J].

Cates, Michael E. ;

Tailleur, Julien .

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6, 2015, 6 :219-244

[5] Entropy Production in Exactly Solvable Systems [J].

Cocconi, Luca ;

Garcia-Millan, Rosalba ;

Zhen, Zigan ;

Buturca, Bianca ;

Pruessner, Gunnar .

ENTROPY, 2020, 22 (11) :1-33

[6]

Courant R., 1975, METHODS MATH PHYS PH, V1

[7] Langevin equation for the density of a system of interacting Langevin processes [J].

Dean, DS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (24) :L613-L617

[8] FIELD-THEORY RENORMALIZATION AND CRITICAL DYNAMICS ABOVE T - HELIUM, ANTI-FERROMAGNETS, AND LIQUID-GAS SYSTEMS [J].

DEDOMINICIS, C ;

PELITI, L .

PHYSICAL REVIEW B, 1978, 18 (01) :353-376

[9] Collective Motion of Vibrated Polar Disks [J].

Deseigne, Julien ;

Dauchot, Olivier ;

Chate, Hugues .

PHYSICAL REVIEW LETTERS, 2010, 105 (09)

[10]

DOI M, 1976, J PHYS A-MATH GEN, V9, P1465, DOI 10.1088/0305-4470/9/9/008

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