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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 3-24 
    ISSN: 1572-9613
    Keywords: Superfluidity ; Superconductivity ; Neutron star ; White dwarf ; Cosmology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The paper aims to elucidate the current status of the problem concerning the existence and observation of superfluid and superconducting states in the universe, that is, under cosmic conditions. Following an introduction, the paper discusses Bose-Einstein condensation, superfluidity, and superconductivity; possibilities for the occurrence of superfluidity and superconductivity under cosmic conditions; superconductivity of dense, degenerate electron plasma (large planets, white dwarfs); superfluidity and superconductivity in neutron stars; and finally superfluidity in a cosmological neutrino “sea.”
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1572-9613
    Keywords: DNA ; helical molecule ; computer simulation ; biopolymers ; Langevin equation ; bead-spring macromolecule ; polymer dynamics ; unwinding of DNA ; tensile relaxation ; Rouse-Bueche model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper investigates the use of a high-speed computer to simulate the unwinding of DNA. A Langevin equation of motion for the well-known bead-spring statistical macromolecule is written in difference form. An appropriate set of boundary conditions is developed to simulate a helical molecule and the resulting set of rules for the motion of the chain elements is used to produce the strand unwinding. The unwinding appears to proceed via initial end-unwinding followed by progressive unwinding inward. The latter process appears to occur by diffusion of twist outward from the central portion of the macromolecule. A computer simulation, using the Langevin equation, of linear tensile relaxation is compared with the appropriate analytical solution via the Rouse treatment of polymer dynamics, good agreement being obtained. The helical results are compared both with tensile relaxation and with Crothers' (1964) analytical treatment of the unwinding problem, which is analogous to the well-known temperature diffusion problem. The tensile results and Crothers' results are identical in form, and agree quantitatively remarkably closely with the computer-simulated helical unwinding, although the helical unwinding is somewhat slower.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 101-106 
    ISSN: 1572-9613
    Keywords: Brownian motion ; Molecular theory ; Nonuniform system ; Gradients of temperature ; velocity ; concentration ; Local equilibrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An equation of evolution for a heavy particle immersed in a solvent of lighter particles is derived for the case when the system suffers gradients of temperature composition, or velocity. The derivation unifies the theory by applying the same methods which have proved useful in the uniform case. The final equation contains some new terms due to concentration gradients in the solvent, and is applicable to the case when the heavy particles are present at finite concentration and interact with each other.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 107-131 
    ISSN: 1572-9613
    Keywords: Information theory ; Thermodynamic transformations ; Partition function ; Statistical thermodynamics ; Channel capacity ; Matching ; Noiseless channel ; Compact code
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This article explores the application of thermodynamic and statistical thermodynamic formalism to information theory problems. In particular, the applicability of the transformation theory of thermodynamics is investigated. After a brief tutorial discussion of thermodynamic and statistical thermodynamic methods and concepts, their information theory analogues are developed. Besides information theory entropy, the information theory counterparts of temperature, chemical potential, Helmholtz free energy, etc., are developed and related to conventional information theory concepts such as channel capacity, matching of source and channel, etc. Information theory theorems are proved via the statistical thermodynamic analogue method; and, finally, several problems are formulated and solved using thermodynamic-like transformations. This article is aimed chiefly at bridging the interface between the two disciplines, and is intended to be provocative. Therefore, no attempt has been made to have it be all inclusive.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 133-147 
    ISSN: 1572-9613
    Keywords: Linear system ; System theory ; Minimal realization ; State space ; Network theory ; Spectral density ; Quadratic matrix inequalities ; Spectral matrix ; Transfer function ; Covariance generation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The paper considers the problem of passing from a stationary covariance, or spectral matrix, associated with the output of a constant linear finite-dimensional system excited by white noise to the set of all possible systems of minimum possible dimension which will generate this covariance. The problem, originally posed by R. E. Kalman in 1965, is solved by identifying each possible system with the solution of a quadratic matrix inequality; an algorithm for the solution of the inequality is also presented.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 227-228 
    ISSN: 1572-9613
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1572-9613
    Keywords: trap-limited exciton lifetimes ; asymmetrical random walks ; lattice vibrations ; displacement correlation functions ; phonon-assisted exciton lifetime reduction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The problem of exciton migration and trapping on a linear polymer is treated as a random walk on a one-dimensional lattice. The average number of steps required for a walker to be trapped is calculated when the probability of stepping to adjacent lattice sites is not symmetrical, and is found to be less than that calculated for a symmetrical walk. An asymmetrical stepping probability is shown to result from the thermal vibrations of the lattice. The magnitude of this effect on the exciton lifetime is estimated and found to be significant.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 1572-9613
    Keywords: kinetic theory ; boundary value problems ; variational principles ; Couette flow ; transition regime ; Boltzmann equation ; rarefied gas dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A variational principle which applies directly to the integrodifferential form of the linearized Boltzmann equation is introduced. Extremely general boundary conditions and collision terms are allowed. For a class of interesting problems, the value of the functional to be varied is shown to be closely related to quantities of great physical interest. The formalism is applied to the treatment of plane Couette flow for different forms of the collision term (BGK model, rigid spheres, Maxwell's molecules).
    Type of Medium: Electronic Resource
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  • 9
    ISSN: 1572-9613
    Keywords: stochastic differential equations ; continuous-time Markov processes ; Fokker-Planck-Kolmogorov equations ; Ito and Stratonovich stochastic calculi ; modeling physical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The purpose of this report is to introduce the engineer to the area of stochastic differential equations, and to point out the mathematical techniques and pitfalls in this area. Topics discussed include continuous-time Markov processes, the Fokker-Planck-Kolmogorov equations, the Ito and Stratonovich stochastic calculi, and the problem of modeling physical systems.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 1 (1969), S. 351-375 
    ISSN: 1572-9613
    Keywords: homogeneous nucleation ; statistical mechanics (classical, equilibrium, small systems) ; phase transitions ; surface tension
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The factor of 1017 proposed by Lothe and Pound in the theory of nucleation of droplets from the vapor phase is studied using classical statistical mechanics. The controversial factorΦ is derived from partition functions for an isolatedn-mer and for ann-molecular cluster imbedded in the bulk liquid phase. The rotational degrees of freedom have no place inΦ, in agreement with Reiss, Katz, and Cohen's treatment. It is proved that the surface free energy of a cluster is proportional to the surface area. The estimate of what Lothe and Pound called the replacement term is different from those of previous authors. It is concluded thatΦ is written as a ratioΦ =Ν g/Νl, where Νg andν l , are the volumes per molecule in the gas phase and in the liquid phase, respectively. For water at 300
    Type of Medium: Electronic Resource
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