Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)]

Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev.... week ending PHYSICAL REVIEW LETTERS 14 JULY 2017 PRL 119, 029902 (2017) Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)] Philip Krinninger, Matthias Schmidt, and Joseph M. Brader (Received 5 June 2017; published 13 July 2017) DOI: 10.1103/PhysRevLett.119.029902 In deriving the nonequilibrium phase coexistence conditions (8) via the double tangent construction (7), as exemplified in Fig. 2(b) and leading to the results in Fig. 3, we assumed the concept of minimization of free power dissipation, R ½ρ; J. However, while minimization of R ½ρ; J with respect to the current distribution Jðr;ω;tÞ generates a one-body force balance equation of motion (1), we had implicitly assumed [1] that the functional is also minimal with respect to the density distribution ρðr;ω;tÞ. This additional minimization is not present in power functional theory [8], which rather states that δR ½ρ; J ¼ αðr;ω;tÞ; ð20Þ δρðr;ω;tÞ where αðr;ω;tÞ is a Lagrange multiplier corresponding to the constraint between ρðr;ω;tÞ and Jðr;ω;tÞ that is imposed by the continuity equation. For our test case of motility-induced phase separation in active Browian particles, recent simulation data [2,3] very clearly points to the fact that both π and ν possess different http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)]

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Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)]

Abstract

week ending PHYSICAL REVIEW LETTERS 14 JULY 2017 PRL 119, 029902 (2017) Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)] Philip Krinninger, Matthias Schmidt, and Joseph M. Brader (Received 5 June 2017; published 13 July 2017) DOI: 10.1103/PhysRevLett.119.029902 In deriving the nonequilibrium phase coexistence conditions (8) via the double tangent construction (7), as exemplified in Fig. 2(b) and leading to the results in Fig. 3, we assumed the concept of minimization of free power dissipation, R ½ρ; J. However, while minimization of R ½ρ; J with respect to the current distribution Jðr;ω;tÞ generates a one-body force balance equation of motion (1), we had implicitly assumed [1] that the functional is also minimal with respect to the density distribution ρðr;ω;tÞ. This additional minimization is not present in power functional theory [8], which rather states that δR ½ρ; J ¼ αðr;ω;tÞ; ð20Þ δρðr;ω;tÞ where αðr;ω;tÞ is a Lagrange multiplier corresponding to the constraint between ρðr;ω;tÞ and Jðr;ω;tÞ that is imposed by the continuity equation. For our test case of motility-induced phase separation in active Browian particles, recent simulation data [2,3] very clearly points to the fact that both π and ν possess different
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Publisher
American Physical Society (APS)
Copyright
Copyright © © 2017 American Physical Society
ISSN
0031-9007
eISSN
1079-7114
D.O.I.
10.1103/PhysRevLett.119.029902
Publisher site
See Article on Publisher Site

Abstract

week ending PHYSICAL REVIEW LETTERS 14 JULY 2017 PRL 119, 029902 (2017) Erratum: Nonequilibrium Phase Behavior from Minimization of Free Power Dissipation [Phys. Rev. Lett. 117, 208003 (2016)] Philip Krinninger, Matthias Schmidt, and Joseph M. Brader (Received 5 June 2017; published 13 July 2017) DOI: 10.1103/PhysRevLett.119.029902 In deriving the nonequilibrium phase coexistence conditions (8) via the double tangent construction (7), as exemplified in Fig. 2(b) and leading to the results in Fig. 3, we assumed the concept of minimization of free power dissipation, R ½ρ; J. However, while minimization of R ½ρ; J with respect to the current distribution Jðr;ω;tÞ generates a one-body force balance equation of motion (1), we had implicitly assumed [1] that the functional is also minimal with respect to the density distribution ρðr;ω;tÞ. This additional minimization is not present in power functional theory [8], which rather states that δR ½ρ; J ¼ αðr;ω;tÞ; ð20Þ δρðr;ω;tÞ where αðr;ω;tÞ is a Lagrange multiplier corresponding to the constraint between ρðr;ω;tÞ and Jðr;ω;tÞ that is imposed by the continuity equation. For our test case of motility-induced phase separation in active Browian particles, recent simulation data [2,3] very clearly points to the fact that both π and ν possess different

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jul 14, 2017

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