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  • 1
    Electronic Resource
    Electronic Resource
    Effects of bulk diffusion on interfacial dynamics (1991)
    Springer
    The European physical journal 82 (1991), S. 121-127 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the influence of bulk diffusion on the dynamics of an interface in the two-phase region of two component systems. We establish a set of equations of motion describing capillary waves and their coupling to a slow diffusion mode in the bulk. Valid for the general case of density dependent bulk diffusion coefficients, these equations are both non-local and non-linear. The nonlinearity is a realization of the full Galilean symmetry associated with the system. Studying the dispersion relations for the linear regime, we find a significant difference between systems with Ising symmetry and those without.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01313994
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  • 2
    Electronic Resource
    Electronic Resource
    Screening in very thin films (1972)
    Springer
    The European physical journal 15 (1972), S. 191-200 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Screening in very thin ideal metallic films is studied within the framework of the random phase approximation. In the limit of vanishing film thickness, screening is drastically reduced, from an exponential form $$\frac{{e^{ - q_0 r} }}{r}$$ a power form (r −3). Friedel oscillations are damped byr −2 rather thanr −3. With the help of the screened potential, effective mass, specific heat, collision times and paramagnetic susceptibility of the electron gas are estimated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02422678
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  • 3
    Electronic Resource
    Electronic Resource
    On singularities in the disordered phase of a driven diffusive system (1995)
    Springer
    The European physical journal 97 (1995), S. 327-332 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using renormalization group techniques, we investigate the large distance behavior of a driven, interacting lattice gas in the disordered phase. Unlike the equilibrium Ising model, its behavior, ford〉2, is controlled by aline of fixed points, each of which is interpreted as a dynamical system violating the fluctuation-dissipation theorem (FDT). As a consequence, correlation functions at large distances typically decay according to a power law instead of an exponential. Ford≤2, the renormalization group flows towards an FDT-satisfying fixed point, which corresponds to the high-temperature, strong-drive limit. In the steady state of such a model (a driven, “free” lattice gas), correlations are known to be exactly zero. Nevertheless, our correlations are still dominated by power laws, since the FDT-breaking operators aredangerously irrelevant (marginal ind=2). Thus, for anyd, the long wavelength properties cannot be obtained by taking either the non-interacting or theT→∞ limit, unlike for the equilibrium Ising model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01307483
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  • 4
    Electronic Resource
    Electronic Resource
    The variety of singularities in models of first order phase transitions (1981)
    Springer
    The European physical journal 41 (1981), S. 129-138 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Although there is a variety of singularities which arise from the many models of a first order phase transition, all are usually referred to as an “essential singularity”. We propose a set of terms suitable for distinguishing them. A better method of extracting and identifying these singularities in variants of the droplet model is presented. We comment on both the renormalization group approach and field theoretic calculations of this singularity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01293411
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  • 5
    Electronic Resource
    Electronic Resource
    Equilibrium shapes of crystals in a gravitational field: Crystals on a table (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 493-522 
    Details
    ISSN: 1572-9613
    Keywords: Equilibrium shapes ; surface energy ; gravity ; crystals ; calculus of variations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider the variational problem associated with the equilibrium shape of crystals resting on a table in a gravitational field. For two-dimensional crystals the shape can be calculated explicitly, i.e., reduced to quadrature. In three dimensions only qualitative results are available. The most interesting new result is that for large crystals, under suitable conditions, the top may be a corrugated facet or curved surface. The motivation for this work comes from lowtemperature experiments on helium crystals in equilibrium with the superfluid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01018830
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  • 6
    Electronic Resource
    Electronic Resource
    The summertop construction: Crystals in a corner (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 727-736 
    Details
    ISSN: 1572-9613
    Keywords: Equilibrium crystal shapes ; surface energy/tension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Equilibrium shapes of crystals in contact with more than one substrate, e.g., droplets at a corner or the edge of two planes, are described. This generalizes a construction due to Wulff and Winterbottom and, unlike them, allows non-convex equilibrium shapes. Since this construction may require a central inversion of the Wulff plot, it is dubbed “the summertop construction.”
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026498
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  • 7
    Electronic Resource
    Electronic Resource
    A lattice-gas hamiltonian for micellar binary solutions (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 839-848 
    Details
    ISSN: 1572-9613
    Keywords: Surfactants ; micellar systems ; binary solutions ; Ising models ; lattice gas ; phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An explicit Ising-spin lattice Hamiltonian is proposed as a model for studying the phase diagrams of micellar binary solutions on the micellar length scale. Incorporating many essential features, it can be used to check the validity of a previously suggested scenario for nonuniversality at the consolute point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01026502
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  • 8
    Electronic Resource
    Electronic Resource
    Subtleties in data analysis related to the size of critical region (1996)
    Springer
    Journal of statistical physics 83 (1996), S. 1219-1223 
    Details
    ISSN: 1572-9613
    Keywords: Driven diffusive systems ; critical behavior ; finite-size scaling ; computer simulations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We comment on the analysis of the critical behavior of a layered driven diffusive system recently done by Achahbar and Marro. We discuss why we believe their method of taking the thermodynamic limit and determining the order-parameter exponent β leads to unreliable estimates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02179560
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  • 9
    Electronic Resource
    Electronic Resource
    Nonequilibrium phase transitions in a simple three-state lattice gas (1997)
    Springer
    Journal of statistical physics 86 (1997), S. 721-748 
    Details
    ISSN: 1572-9613
    Keywords: Driven lattice gas ; order-disorder transition ; Monte Carlo simulations ; mean-field equations of motion ; slow mode ; adiabatic elimination
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate the dynamics of a three-state stochastic lattice gas consisting of holes and two oppositely “charged” species of particles, under the influence of an “electric” field at zero total charge. Interacting only through an excluded-volume constraint, particles exchange with holes and, on a slower time scale, with each other. Using a combination of Monte Carlo simulations and meanfield equations of motion, we study a set of suitably defined order parameters, their histograms and fluctuations, as well as the current through the system. With increasing particle density and drive, the system first orders into a charge-segregated state, and then disorders again near complete filling. The transition is first order at low densities and turns second order at higher ones. The finite-size and aspect-ratio dependence of characteristic quantities is discussed at the mean-field level.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02199117
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  • 10
    Electronic Resource
    Electronic Resource
    Two-Point Correlations and Critical Line of the Driven Ising Lattice Gas in a High-Temperature Expansion (1998)
    Springer
    Journal of statistical physics 91 (1998), S. 525-539 
    Details
    ISSN: 1572-9613
    Keywords: Nonequilibrium steady states ; driven diffusive systems ; phase diagrams ; high-temperature series expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Based on a high-temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a nonequilibrium steady state by a uniform bias E. The lowest nontrivial order already reproduces the key features, i.e., the discontinuity singularity of the structure factor and the (qualitative) E dependence of the critical line. Our approach is easily generalized to other nonequilibrium lattice models and provides a simple analytic tool for the study of the high-temperature phase and its boundaries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023069325518
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