Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats

A. Y. Grosberg, J. F. Joanny

    Research output: Contribution to journalArticle

    Abstract

    We introduce a novel type of locally driven systems made of two types of particles (or a polymer with two types of monomers) subject to a chaotic drive with approximately white noise spectrum, but different intensity; in other words, particles of different types are in contact with thermostats at different temperatures. We present complete systematic statistical mechanics treatment starting from first principles. Although we consider only corrections to the dilute limit due to pairwise collisions between particles, meaning we study a nonequilibrium analog of the second virial approximation, we find that the system exhibits a surprisingly rich behavior. In particular, pair correlation function of particles has an unusual quasi-Boltzmann structure governed by an effective temperature distinct from that of any of the two thermostats. We also show that at sufficiently strong drive the uniformly mixed system becomes unstable with respect to steady states consisting of phases enriched with different types of particles. In the second virial approximation, we define nonequilibrium "chemical potentials" whose gradients govern diffusion fluxes and a nonequilibrium "osmotic pressure," which governs the mechanical stability of the interface.

    Original languageEnglish (US)
    Article number032118
    JournalPhysical Review E
    Volume92
    Issue number3
    DOIs
    StatePublished - Sep 14 2015

    Fingerprint

    Nonequilibrium Statistical Mechanics
    Thermostat
    thermostats
    statistical mechanics
    Contact
    Non-equilibrium
    potential gradients
    Pair Correlation Function
    osmosis
    Chemical Potential
    noise spectra
    Approximation
    First-principles
    white noise
    approximation
    White noise
    Ludwig Boltzmann
    Statistical Mechanics
    Pairwise
    Polymers

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats. / Grosberg, A. Y.; Joanny, J. F.

    In: Physical Review E, Vol. 92, No. 3, 032118, 14.09.2015.

    Research output: Contribution to journalArticle

    @article{d2c57b970f464cc8b55f822953936f88,
    title = "Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats",
    abstract = "We introduce a novel type of locally driven systems made of two types of particles (or a polymer with two types of monomers) subject to a chaotic drive with approximately white noise spectrum, but different intensity; in other words, particles of different types are in contact with thermostats at different temperatures. We present complete systematic statistical mechanics treatment starting from first principles. Although we consider only corrections to the dilute limit due to pairwise collisions between particles, meaning we study a nonequilibrium analog of the second virial approximation, we find that the system exhibits a surprisingly rich behavior. In particular, pair correlation function of particles has an unusual quasi-Boltzmann structure governed by an effective temperature distinct from that of any of the two thermostats. We also show that at sufficiently strong drive the uniformly mixed system becomes unstable with respect to steady states consisting of phases enriched with different types of particles. In the second virial approximation, we define nonequilibrium {"}chemical potentials{"} whose gradients govern diffusion fluxes and a nonequilibrium {"}osmotic pressure,{"} which governs the mechanical stability of the interface.",
    author = "Grosberg, {A. Y.} and Joanny, {J. F.}",
    year = "2015",
    month = "9",
    day = "14",
    doi = "10.1103/PhysRevE.92.032118",
    language = "English (US)",
    volume = "92",
    journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
    issn = "1063-651X",
    publisher = "American Physical Society",
    number = "3",

    }

    TY - JOUR

    T1 - Nonequilibrium statistical mechanics of mixtures of particles in contact with different thermostats

    AU - Grosberg, A. Y.

    AU - Joanny, J. F.

    PY - 2015/9/14

    Y1 - 2015/9/14

    N2 - We introduce a novel type of locally driven systems made of two types of particles (or a polymer with two types of monomers) subject to a chaotic drive with approximately white noise spectrum, but different intensity; in other words, particles of different types are in contact with thermostats at different temperatures. We present complete systematic statistical mechanics treatment starting from first principles. Although we consider only corrections to the dilute limit due to pairwise collisions between particles, meaning we study a nonequilibrium analog of the second virial approximation, we find that the system exhibits a surprisingly rich behavior. In particular, pair correlation function of particles has an unusual quasi-Boltzmann structure governed by an effective temperature distinct from that of any of the two thermostats. We also show that at sufficiently strong drive the uniformly mixed system becomes unstable with respect to steady states consisting of phases enriched with different types of particles. In the second virial approximation, we define nonequilibrium "chemical potentials" whose gradients govern diffusion fluxes and a nonequilibrium "osmotic pressure," which governs the mechanical stability of the interface.

    AB - We introduce a novel type of locally driven systems made of two types of particles (or a polymer with two types of monomers) subject to a chaotic drive with approximately white noise spectrum, but different intensity; in other words, particles of different types are in contact with thermostats at different temperatures. We present complete systematic statistical mechanics treatment starting from first principles. Although we consider only corrections to the dilute limit due to pairwise collisions between particles, meaning we study a nonequilibrium analog of the second virial approximation, we find that the system exhibits a surprisingly rich behavior. In particular, pair correlation function of particles has an unusual quasi-Boltzmann structure governed by an effective temperature distinct from that of any of the two thermostats. We also show that at sufficiently strong drive the uniformly mixed system becomes unstable with respect to steady states consisting of phases enriched with different types of particles. In the second virial approximation, we define nonequilibrium "chemical potentials" whose gradients govern diffusion fluxes and a nonequilibrium "osmotic pressure," which governs the mechanical stability of the interface.

    UR - http://www.scopus.com/inward/record.url?scp=84942422627&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84942422627&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevE.92.032118

    DO - 10.1103/PhysRevE.92.032118

    M3 - Article

    VL - 92

    JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

    JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

    SN - 1063-651X

    IS - 3

    M1 - 032118

    ER -