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  • Articles  (42)
  • phase transition  (22)
  • Brownian motion  (20)
  • Springer  (42)
  • American Chemical Society
  • American Geophysical Union
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  • Emerald
  • 2000-2004  (15)
  • 1970-1974  (27)
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  • Physics  (42)
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  • Articles  (42)
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  • Springer  (42)
  • American Chemical Society
  • American Geophysical Union
  • De Gruyter
  • Emerald
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  • 1
    Electronic Resource
    Electronic Resource
    The Ground State of Certain Coulomb Systems and Feynman-Kac Exponentials (2000)
    Springer
    Mathematical physics, analysis and geometry 3 (2000), S. 91-100 
    Details
    ISSN: 1572-9656
    Keywords: Coulomb systems ; Brownian motion ; ground state
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We give a lower bound for the ground state energy of certain Coulomb Hamiltonians using the Feynman-Kac formula. We show that this bound is very precise for two electron atoms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009882801918
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  • 2
    Electronic Resource
    Electronic Resource
    Ferromagnetism in the single-band Hubbard model: An exact high-temperature expansion (1974)
    Springer
    Journal of statistical physics 11 (1974), S. 159-167 
    Details
    ISSN: 1572-9613
    Keywords: Hubbard model ; ferromagnetism ; high-temperature expansion ; phase transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The first ten terms of the high-temperature expansion of the susceptibility of the single-band Hubbard model in the strong correlation limit are obtained for arbitrary electron density. The series is analyzed by ratio methods and Padé approximants. A critical temperature is found for 0.2 ⩽ρ ⩽ 0.8; forρ 〉 1 further terms in the series are required.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012517
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  • 3
    Electronic Resource
    Electronic Resource
    Initial condition effects for a Brownian particle in a harmonic chain (1974)
    Springer
    Journal of statistical physics 11 (1974), S. 257-275 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; linear harmonic chain ; Langevin equation ; velocity correlation functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The influence of initial deviations from bath equilibrium on the motion of a Brownian particle in a harmonic chain is investigated by exact calculation. These initial condition effects, which are excluded by convention in standard projection operator treatments of relaxation processes, are found to be relatively long-lived, contrary to usual assumption. For weak, localized initial deviations from bath equilibrium these effects on the motion are small in magnitude and may be accounted for by a modified initial condition on the particle velocity. For initial deviations involving many bath particles these effects are more substantial and retention of their time dependence in the particle equation of motion is generally required.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010220
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  • 4
    Electronic Resource
    Electronic Resource
    Fluctuating hydrodynamics and Brownian motion. II. Note on the slip boundary condition (1974)
    Springer
    Journal of statistical physics 10 (1974), S. 103-105 
    Details
    ISSN: 1572-9613
    Keywords: Fluctuating hydrodynamics ; boundary conditions ; Brownian motion ; generalized Langevin equation ; fluctuation-dissipation theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Previous work by Hauge and Martin-Löf discussing the generalized Langevin equation for Brownian motion as a contraction from the more fundamental but still phenomenological description of a particle immersed in an incompressible fluid governed by fluctuating hydrodynamics with stick boundary condition is extended to the case of a Brownian particle with arbitrary shape and withslip boundary condition. The motivation for this extension is the fact that the latter condition naturally arises in a treatment of the problem from first principles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011720
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  • 5
    Electronic Resource
    Electronic Resource
    Bose-Einstein condensation in one- and two-dimensional gases (1974)
    Springer
    Journal of statistical physics 10 (1974), S. 299-319 
    Details
    ISSN: 1572-9613
    Keywords: Bose-Einstein condensation ; phase transition ; helium thin films ; one-dimensional systems ; two-dimensional systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the one- and two-dimensional ideal Bose gases undergo a phase transition if the temperature is lowered at constant pressure. At the pressure-dependent transition temperature Tc (P) and in their thermodynamic limit the specific heat at constant pressure cp and the particle densityn diverge, the entropyS and specific heat at constant volumec v fall off sharply but continuously to zero, and the fraction of particles in the ground state N0/N jumps discontinuously from zero to one. This Bose-Einstein condensation provides a remarkable example of a transition which has most of the properties of a second-order phase transition, except that the order parameter is discontinuous. The nature of the condensed state is described in the large but finiteN regime, and the width of the transition region is estimated. The effects of interactions in real one- and two-dimensional Bose systems and recent experiments on submonolayer helium films are discussed briefly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012253
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  • 6
    Electronic Resource
    Electronic Resource
    Velocity autocorrelation function for the motion of long-chain molecules in the free draining limit (1973)
    Springer
    Journal of statistical physics 8 (1973), S. 367-371 
    Details
    ISSN: 1572-9613
    Keywords: Polymers ; Brownian motion ; velocity autocorrelation ; short-range interactions ; quasielastic broadening for incoherent neutron scattering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The thermal motion of a long-chain molecule dispersed in a solvent is examined in terms of the velocity autocorrelation, in a reference frame attached to a subunit of the chain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020275
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  • 7
    Electronic Resource
    Electronic Resource
    Phase transition of hard hexagons on a triangular lattice (1973)
    Springer
    Journal of statistical physics 9 (1973), S. 23-44 
    Details
    ISSN: 1572-9613
    Keywords: Lattice gas ; phase transition ; Peierls' argument
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Systems of hard hexagons on a triangular lattice are investigated. The orientation of the hexagons is kept fixed, while the size of the hexagons is varied. The existence of a phase transition is proved for all sizes by means of the Peierls'argument. The proof does not imply a phase transition in the continuous limit.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01016795
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  • 8
    Electronic Resource
    Electronic Resource
    Discrete Symmetry Breaking for Certain Short-Range Interactions (2000)
    Springer
    Journal of statistical physics 98 (2000), S. 1049-1061 
    Details
    ISSN: 1572-9613
    Keywords: Gibbs measure ; phase transition ; lattice spin system ; discrete symmetry breaking
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Georgii's theorem ensures that, restricted to two-dimensional planes, a single ocean (i.e., infinite connected component) of a ground state and islands (i.e., finite connected components) are observed in lattice spin systems at sufficiently low temperature. This paper extends his results for higher dimensional hyperplanes. Our proof is mainly based on a kind of Peierls argument and is different from Georgii's, which relies on the percolation method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018607526690
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  • 9
    Electronic Resource
    Electronic Resource
    Statistical Properties of the 2D Attached Rouse Chain (2000)
    Springer
    Journal of statistical physics 101 (2000), S. 921-931 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Rouse chain ; path integrals ; perturbation theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the areas {A i} enclosed by the monomers scale like t 1/2, with correlated gaussian distributions. This has to be compared to the winding angles {θ i} around fixed points that scale like t and are distributed according to independent Cauchy laws.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026433823078
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  • 10
    Electronic Resource
    Electronic Resource
    Influence of density fluctuations on the equation of state (1974)
    Springer
    Journal of statistical physics 10 (1974), S. 471-484 
    Details
    ISSN: 1572-9613
    Keywords: Equation of state ; internal virial ; density fluctuations ; mean-square fluctuation ; probability ; probability distribution function ; phase transition ; isotherm ; critical region
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The influence of inhomogeneity of particle density on the equation of state has been considered in the approximation of homogeneous fluctuations. The formula for the relative mean square fluctuation has been derived taking into account intermolecular interaction. It has been shown that the density fluctuations cannot be neglected near the coexistence curve. This curve has been obtained without recourse to the Maxwell construction; unphysical parts of the van der Waals isotherms in fact never appear in the theory. Experimental parameters have not been used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020402
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