State Distribution

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I.g. Brown - One of the best experts on this subject based on the ideXlab platform.

  • multiply charged ion transport in free boundary vacuum arc plasma jet
    Journal of Applied Physics, 1998
    Co-Authors: Michael Keidar, Isak I. Beilis, I.g. Brown
    Abstract:

    The free boundary plasma arc jet expansion was analyzed based on a two-dimensional hydrodynamic model. The plasma jet expansion was modeled using the sourceless steady-State hydrodynamic equations, where the plasma free boundary was determined self-consistently. Due to the existence of an electric field in the quasineutral plasma the different charged ion species can be spatially separated. It was found that the mean charge State Distribution is strongly nonuniform with a tendency for the highly charged species to appear near the plasma jet boundary region. Along the center line the density of singly charged ions falls off by about four times while the density of fourfold charged ions drops by more than 100 times. The radial charge State Distribution becomes more nonuniform with increasing magnetic field. Good qualitative agreement between calculated and experimental radial Distributions of different charged species was obtained.

Mitsusada M Sano - One of the best experts on this subject based on the ideXlab platform.

  • The McLennan–Zubarev steady State Distribution and fluctuation theorems
    Physica A-statistical Mechanics and Its Applications, 2017
    Co-Authors: Mitsusada M Sano
    Abstract:

    The McLennan–Zubarev steady State Distribution is studied in the connection with fluctuation theorems. We derive the McLennan–Zubarev steady State Distribution from the nonequilibrium detailed balance relation. Then, considering the cumulant function or cumulant functional, two fluctuation theorems for entropy and for currents are proved. Using the fluctuation theorem for currents, the current is expanded in terms of thermodynamic forces. In the lowest order of the thermodynamic force, we find that the transport coefficient satisfies the Onsager’s reciprocal relation. In the next order, we derived the correction term to the Green–Kubo formula.

  • The McLennan-Zubarev steady State Distribution and fluctuation theorems
    arXiv: Statistical Mechanics, 2017
    Co-Authors: Mitsusada M Sano
    Abstract:

    The McLennan-Zubarev steady State Distribution is studied in the connection with fluctuation theorems. We derive the McLennan-Zubarev steady State Distribution from the nonequilibrium detailed balance relation. Then, considering the cumulant function or cumulant functional, two fluctuation theorems for entropy and for currents are proved. Using the fluctuation theorem for currents, the current is expanded in terms of thermodynamic forces. In the lowest order of the thermodynamic force, we find that the transport coefficient satisfies the Onsager's reciprocal relation. In the next order, we derived the correction term to the Green-Kubo formula.

  • The steady State Distribution of the master equation
    Journal of Physics A, 2008
    Co-Authors: Mitsusada M Sano
    Abstract:

    The steady States of the master equation are investigated. We give two expressions for the steady State Distribution of the master equation a la the Zubarev–McLennan steady State Distribution, i.e., the exact expression and the expression near equilibrium. The latter expression obtained looks similar to that of recent attempts to construct steady State thermodynamics.

Hershel Mehta - One of the best experts on this subject based on the ideXlab platform.

Michael Keidar - One of the best experts on this subject based on the ideXlab platform.

  • multiply charged ion transport in free boundary vacuum arc plasma jet
    Journal of Applied Physics, 1998
    Co-Authors: Michael Keidar, Isak I. Beilis, I.g. Brown
    Abstract:

    The free boundary plasma arc jet expansion was analyzed based on a two-dimensional hydrodynamic model. The plasma jet expansion was modeled using the sourceless steady-State hydrodynamic equations, where the plasma free boundary was determined self-consistently. Due to the existence of an electric field in the quasineutral plasma the different charged ion species can be spatially separated. It was found that the mean charge State Distribution is strongly nonuniform with a tendency for the highly charged species to appear near the plasma jet boundary region. Along the center line the density of singly charged ions falls off by about four times while the density of fourfold charged ions drops by more than 100 times. The radial charge State Distribution becomes more nonuniform with increasing magnetic field. Good qualitative agreement between calculated and experimental radial Distributions of different charged species was obtained.

Grzegorz Szamel - One of the best experts on this subject based on the ideXlab platform.

  • self propelled particle in an external potential existence of an effective temperature
    Physical Review E, 2014
    Co-Authors: Grzegorz Szamel
    Abstract:

    We study a stationary State of a single self-propelled, athermal particle in linear and quadratic external potentials. The self-propulsion is modeled as a fluctuating force evolving according to the Ornstein-Uhlenbeck process, independently of the State of the particle. Without an external potential, in the long time limit, the self-propelled particle moving in a viscous medium performs diffusive motion, which allows one to identify an effective temperature. We show that in the presence of a linear external potential the stationary State Distribution has an exponential form with the sedimentation length determined by the effective temperature of the free self-propelled particle. In the presence of a quadratic external potential the stationary State Distribution has a Gaussian form. However, in general, this Distribution is not determined by the effective temperature of the free self-propelled particle.