Th M. Nieuwenhuizen

Publication List Details

Period

1984 - 2009

Number

92

Co-Authors

How adsorption influences DNA denaturation (2009)

Allahverdyan, A. E., Gevorkian, Zh. S., Hu, Chin-Kun, Nieuwenhuizen, Th. M.

The thermally induced denaturation of DNA in the presence of attractive solid surface is studied. The two strands of DNA are modeled via two coupled flexible chains without volume interactions. If...

Do non-relativistic neutrinos constitute the dark matter? (2008)

Nieuwenhuizen, Th. M.

The observed dark matter distribution of the baryon-poor Abell 1689 supercluster of galaxies is modelled by a thermal distribution of non-relativistic gravitating fermions with $\gs$ degrees of...

Where Bell went wrong (2008)

Nieuwenhuizen, Th. M.

It is explained on a physical basis how absence of contextuality allows Bell inequalities to be violated, without bringing an implication on locality or realism. The point is that the initial values...

Quantum state tomography using a single apparatus (2007)

Mehmani, B., Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The density matrix of a two-level system (spin, atom) is usually determined by measuring the three non-commuting components of the Pauli vector. This density matrix can also be obtained via the...

Minimal Work Principle and its Limits for Classical Systems (2006)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The minimal work principle asserts that work done on a thermally isolated equilibrium system, is minimal for the slowest (adiabatic) realization of a given process. This principle, one of the...

Foundations of Special Relativity and the Principle of Conservation of Information (2006)

Pombo, C., Nieuwenhuizen, Th. M.

The theory of special relativity can be generalized by means of a new principle called Conservation of Information. This allows a derivation of the constancy of the velocity of light with respect to...

Adhesion Induced DNA Naturation (2005)

Allahverdyan, A. E., Gevorkian, Zh. S., Hu, Chin-Kun, Nieuwenhuizen, Th. M.

DNA adsorption and naturation is modeled via two interacting flexible homopolymers coupled to a solid surface. DNA denatures if the entropy gain for unbinding the two strands overcomes the loss of...

Physics at the FQMT'04 conference (2005)

Spicka, V., Nieuwenhuizen, Th. M., Keefe, P. D.

This paper summarizes the recent state of the art of the following topics presented at the FQMT'04 conference: Quantum, mesoscopic and (partly) classical thermodynamics; Quantum limits to the second...

Classical Phase Space Density for the Relativistic Hydrogen Atom (2005)

Nieuwenhuizen, Th. M.

Quantum mechanics is considered to arise from an underlying classical structure (``hidden variable theory'', ``sub-quantum mechanics''), where quantum fluctuations follow from a physical noise...

Role of Various Entropies in the Black Hole Information Loss Problem (2005)

Nieuwenhuizen, Th. M., Volovich, I. V.

In a recent paper Hawking has argued that there is no information loss in black holes in asymptotically AdS spacetimes. We remind that there are several types of information (entropy) in statistical...

Explanation of the Gibbs paradox within the framework of quantum thermodynamics (2005)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The issue of the Gibbs paradox is that when considering mixing of two gases within classical thermodynamics, the entropy of mixing appears to be a discontinuous function of the difference between the...

Brownian Entanglement (2004)

Allahverdyan, A. E., Khrennikov, A., Nieuwenhuizen, Th. M.

We show that for two classical brownian particles there exists an analog of continuous-variable quantum entanglement: The common probability distribution of the two coordinates and the corresponding...

Bath Assisted Cooling of Spins (2004)

Allahverdyan, A. E., Gracia, R. Serral, Nieuwenhuizen, Th. M.

A suitable sequence of sharp pulses applied to a spin coupled to a bosonic bath can cool its state, i.e., increase its polarization or ground state occupation probability. Starting from an...

Work extraction in the spin-boson model (2004)

Allahverdyan, A. E., Gracia, R. Serral, Nieuwenhuizen, Th. M.

We show that work can be extracted from a two-level system (spin) coupled to a bosonic thermal bath. This is possible due to different initial temperatures of the spin and the bath, both positive (no...

The second law and fluctuations of work: The case against quantum fluctuation theorems (2004)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

We study how Thomson's formulation of the second law: no work is extracted from an equilibrium ensemble by a cyclic process, emerges in the quantum situation through the averaging over fluctuations...

Minimal work principle: proof and counterexamples (2004)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The minimal work principle states that work done on a thermally isolated equilibrium system is minimal for adiabatically slow (reversible) realization of a given process. This principle, one of the...

Quantum thermodynamics: thermodynamics at the nanoscale (2004)

Allahverdyan, A. E., Balian, R., Nieuwenhuizen, Th. M.

A short introduction on quantum thermodynamics is given and three new topics are discussed: 1) Maximal work extraction from a finite quantum system. The thermodynamic prediction fails and a new,...

Maximal work extraction from quantum systems (2004)

Allahverdyan, A. E., Balian, R., Nieuwenhuizen, Th. M.

Thermodynamics teaches that if a system initially off-equilibrium is coupled to work sources, the maximum work that it may yield is governed by its energy and entropy. For finite systems this bound...

Adiabatic processes need not correspond to optimal work (2004)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The minimum work principle states that work done on a thermally isolated equilibrium system is minimal for the adiabatically slow (reversible) realization of a given process. This principle, one of...

Thermodynamics and small quantum systems (2003)

Nieuwenhuizen, Th. M.

Small quantum systems non-weakly coupled to a bath become in the quantum regime surrounded by a cloud of photons or phonons, which modifies their thermodynamic behavior. Exactly solvable examples are...

Determining a quantum state by means of a single apparatus (2003)

Allahverdyan, A. E., Balian, R., Nieuwenhuizen, Th. M.

The unknown state $\hrho$ of a quantum system S is determined by letting it interact with an auxiliary system A, the initial state of which is known. A one-to-one mapping can thus be realized between...

Concentration dependence of the transition temperature in metallic spin glasses (2003)

Gracia, R. Serral, Nieuwenhuizen, Th. M., Lerner, I. V.

The dependence of the transition temperature $T_g$ in terms of the concentration of magnetic impurities $c$ in spin glasses is explained on the basis of a screened RKKY interaction. The two observed...

The quantum measurement process: an exactly solvable model (2003)

Allahverdyan, A. E., Balian, R., Nieuwenhuizen, Th. M.

An exactly solvable model for a quantum measurement is discussed, that integrates quantum measurements with classical measurements. The z-component of a spin-1/2 test spin is measured with an...

A spherical Hopfield model (2003)

Bolle, D., Nieuwenhuizen, Th. M., Castillo, I. Perez, Verbeiren, T.

We introduce a spherical Hopfield-type neural network involving neurons and patterns that are continuous variables. We study both the thermodynamics and dynamics of this model. In order to have a...

Quantum spherical spin models (2003)

Gracia, R. Serral, Nieuwenhuizen, Th. M.

A recently introduced class of quantum spherical spin models is considered in detail. Since the spherical constraint already contains a kinetic part, the Hamiltonian need not have kinetic term. As a...

Invalidity of the Landauer inequality for information erasure in the quantum regime (2002)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S

On testing the violation of the Clausius inequality in nanoscale electric circuits (2002)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The Clausius inequality, one of the classical formulations of the second law, was recently found to be violated in the quantum regime. Here this result is formulated in the context of a mesoscopic or...

Bath generated work extraction and inversion-free gain in two-level systems (2002)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The spin-boson model, often used in NMR and ESR physics, quantum optics and spintronics, is considered in a solvable limit to model a spin one-half particle interacting with a bosonic thermal bath....

A mathematical theorem as the basis for the second law: Thomson's formulation applied to equilibrium (2001)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

There are several formulations of the second law, and they may, in principle, have different domains of validity. Here a simple mathematical theorem is proven which serves as the most general basis...

Exactly Solvable Model Glass with a Facilitated Dynamics (2001)

Leuzzi, L., Nieuwenhuizen, Th. M

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann...

Thermodynamics Far from Equilibrium: from Glasses to Black Holes (2001)

Nieuwenhuizen, Th. M.

A framework for the non-equilibrium thermodynamics of glasses is discussed. It also explains the non-equilibrium thermodynamics of a black hole isolated from matter. The first and second laws of...

Kinetic equation model for self-gravitating systems (2001)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The kinetic theory of a self-gravitating system is considered in the framework of Bhatnager-Gross-Krook model. This approach offers a unique and tractable setup for studying the central,...

Mean-field theory of quantum brownian motion (2001)

Allahverdyan, A. E., Balian, R., Nieuwenhuizen, Th. M.

We investigate a mean-field approach to a quantum brownian particle interacting with a quantum thermal bath at temperature $T$, and subjected to a non-linear potential. An exact, partially classical...

Breakdown of the Landauer bound for information erasure in the quantum regime (2000)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S$ of its entropy must release at least an amount $|\dbarrm Q|=T|\d S|$ of heat. This serves as a...

Statistical thermodynamics of quantum Brownian motion: Birth of perpetuum mobile of the second kind (2000)

Nieuwenhuizen, Th. M., Allahverdyan, A. E.

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the...

Reply on Comment on ``Extraction of work from a single thermal bath in the quantum regime'' (2000)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

In our recent letter [1] we discussed that thermodynamics is violated in quantum Brownian motion beyond the weak coupling limit. In his comment, Tasaki [2] derives an inequality for the relative...

Extraction of work from a single thermal bath in the quantum regime (2000)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

The stationary state of a quantum particle strongly coupled to a quantum thermal bath is known to be non-gibbsian, due to entanglement with the bath. For harmonic potentials, where the system can be...

Thermodynamic picture of the glassy state (2000)

Nieuwenhuizen, Th. M.

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical...

Optimizing the classical heat engine (2000)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

A pair of systems at different temperatures is a classic environment for a heat engine, which produces work during the relaxation to a common equilibrium. It is generally believed that a direct...

Exact solution for core-collapsed isothermal star clusters (1999)

Nieuwenhuizen, Th. M.

Star clusters in isothermal spheres are studied from a thermodynamic point of view. New density profiles are presented, that describe the collapsed phase at low temperatures. At the transition a set...

Entropy production, energy dissipation and violation of Onsager relations in the steady glassy state (1999)

Allahverdyan, A. E., Nieuwenhuizen, Th. M.

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A...

Model glasses coupled to two different heat baths (1999)

Allahverdyan, A. E., Nieuwenhuizen, Th. M., Saakian, D. B.

In a $p$-spin interaction spherical spin-glass model both the spins and the couplings are allowed to change in the course of time. The spins are coupled to a heat bath with temperature $T$, while the...

Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion (1999)

Van Rossum, Mark, Nieuwenhuizen, Th.M

A tutorial discussion of the propagation of waves in random media is presented. To a first approximation the transport of the multiple scattered waves is given by diffusion theory, but important...

Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion (1999)

Van Rossum, Mark, Nieuwenhuizen, Th.M

A tutorial discussion of the propagation of waves in random media is presented. To a first approximation the transport of the multiple scattered waves is given by diffusion theory, but important...

Light scattering from mesoscopic objects in diffusive media (1998)

Luck, J. M., Nieuwenhuizen, Th. M.

The diffuse intensity propagating in turbid media is sensitive to the presence of any kind of object embedded in the medium, e.g. obstacles or defects. The long-ranged effects of isolated objects can...

Thermodynamics of the glassy state (1998)

Nieuwenhuizen, Th. M.

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical...

Competition between glassiness and order in a multi-spin glass (1998)

Hertz, J. A., Sherrington, David, Nieuwenhuizen, Th. M.

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass,...

Thermodynamics of black holes: an analogy with glasses (1998)

Nieuwenhuizen, Th. M.

The present equilibrium formulation of thermodynamics for black holes has several drawbacks, such as assuming the same temperature for black hole and heat bath. Recently the author formulated...

Thermodynamic picture of the glassy state gained from exactly solvable models (1998)

Nieuwenhuizen, Th. M.

A picture for thermodynamics of the glassy state was introduced recently by us (Phys. Rev. Lett. {\bf 79} (1997) 1317; {\bf 80} (1998) 5580). It starts by assuming that one extra parameter, the...

Thermodynamics of the glassy state: effective temperature as an additional system parameter (1998)

Nieuwenhuizen, Th. M.

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in...

Theory of site-disordered magnets (1998)

Nieuwenhuizen, Th. M.

In realistic spinglasses, such as CuMn, AuFe and EuSrS, magnetic atoms are located at random positions. Their couplings are determined by their relative positions. For such systems a field theory is...

Multiple scattering of classical waves: from microscopy to mesoscopy and diffusion (1998)

Nieuwenhuizen, Th. M.

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important...

Interference phenomena in radiation of a charged particle moving in a system with one-dimensional randomness (1998)

Gevorkian, Zh. S., Nieuwenhuizen, Th. M.

The contribution of interference effects to the radiation of a charged particle moving in a medium of randomly spaced plates is considered. In the angular dependent radiation intensity a peak appears...

The Marriage Problem and the Fate of Bachelors (1997)

Nieuwenhuizen, Th. M.

In the marriage problem, a variant of the bi-parted matching problem, each member has a `wish-list' expressing his/her preference for all possible partners; this list consists of random, positive...

Thermodynamic description of a dynamical glassy transition (1997)

Nieuwenhuizen, Th. M.

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose....

Ehrenfest relations at the glass transition: solution to an old paradox (1997)

Nieuwenhuizen, Th. M.

In order to find out whether there exists a thermodynamic description of the glass phase, the Ehrenfest relations along the glass transition line are reconsidered. It is explained that the one...

Solvable glassy system: static versus dynamical transition (1997)

Nieuwenhuizen, Th. M.

A directed polymer is considered on a flat substrate with randomly located parallel ridges. It prefers to lie inside wide regions between the ridges. When the transversel width $W=\exp(\lambda...

Variational approach to interfaces in random media: negative variances and replica symmetry breaking (1997)

Saakian, D. B., Nieuwenhuizen, Th. M.

A Gaussian variational approximation is often used to study interfaces in random media. By considering the 1+1 dimensional directed polymer in a random medium, it is shown here that the variational...

Deviations from the Gaussian distribution of mesoscopic conductance fluctuations (1997)

Lerner, Igor V., Altshuler, Boris L., Nieuwenhuizen, Th. M.

The conductance distribution of metallic mesoscopic systems is considered. The variance of this distribution describes the universal conductance fluctuations, yielding a Gaussian distribution of the...

Complexity as the driving force for glassy transitions (1997)

Nieuwenhuizen, Th. M.

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical...

Deviations from the Gaussian distribution of mesoscopic conductance fluctuations (1997)

Van Rossum, Mark, Lerner, Igor, Altshuler, Boris, Nieuwenhuizen, Th.M

The conductance distribution of metallic mesoscopic systems is considered. The variance of this distribution describes the universal conductance fluctuations, yielding a Gaussian distribution of the...

Deviations from the Gaussian distribution of mesoscopic conductance fluctuations (1997)

Van Rossum, Mark, Lerner, Igor, Altshuler, Boris, Nieuwenhuizen, Th.M

The conductance distribution of metallic mesoscopic systems is considered. The variance of this distribution describes the universal conductance fluctuations, yielding a Gaussian distribution of the...

Ginzburg-Landau theory of the cluster glass phase (1996)

Nieuwenhuizen, Th. M.

On the basis of a recent field theory for site-disordered spin glasses a Ginzburg-Landau free energy is proposed to describe the low temperatures glassy phase(s) of site-disordered magnets. The...

Multiple Rayleigh scattering of electromagnetic waves (1996)

Amic, E., Luck, J. M., Nieuwenhuizen, Th. M.

Multiple scattering of polarised electromagnetic waves in diffusive media is investigated by means of radiative transfer theory. The method becomes exact in several situations of interest, such as a...

Anisotropic multiple scattering in diffusive media (1996)

Amic, E., Luck, J. M., Nieuwenhuizen, Th. M.

The multiple scattering of scalar waves in diffusive media is investigated by means of the radiative transfer equation. This approach, which does not rely on the diffusion approximation, becomes...

Theory of semi-ballistic wave propagation (1996)

Mosk, A., Nieuwenhuizen, Th. M., Barnes, C.

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in...

Optical conductance fluctuations: Diagrammatic analysis in the Landauer approach and nonuniversal effects (1995)

Van Rossum, Mark, Nieuwenhuizen, Th.M, Vlaming, R

The optical conductance of a multiple scatering medium is defined as the total transmitted light of a normalized diffuse incoming beam. This quantity, analogous to electronic conductance, exhibits...

Optical conductance fluctuations: Diagrammatic analysis in the Landauer approach and nonuniversal effects (1995)

Van Rossum, Mark, Nieuwenhuizen, Th.M, Vlaming, R

The optical conductance of a multiple scatering medium is defined as the total transmitted light of a normalized diffuse incoming beam. This quantity, analogous to electronic conductance, exhibits...

To maximize or not to maximize the free energy of glassy systems, !=? (1995)

Nieuwenhuizen, Th. M.

The static free energy of glassy systems can be expressed in terms of the Parisi order parameter function. When this function has a discontinuity, the location of the step is determined by maximizing...

Anisotropic multiple scattering in diffuse media (1995)

Amic, E., Luck, J. M., Nieuwenhuizen, Th. M.

The multiple scattering of scalar waves in diffusive media is investigated by means of the radiative transfer equation. This approach amounts to a resummation of the ladder diagrams of the Born...

Complexity as the driving force for dynamical glassy transitions (1995)

Nieuwenhuizen, Th. M.

Aspects of the dynamical glass transition are considered within a mean field spin glass model. At the dynamical transition the the system condenses in a state of lower entropy. The difference, the...

A puzzle on fluctuations of weights in spin glasses (1995)

Nieuwenhuizen, Th. M.

In certain mean field models for spin glasses there occurs a one step replica symmetry breaking pattern. As an example of general $1/N$-corrections in such systems, the fluctuations in the internal...

Intensity Distributions of Waves Transmitted through a Multiple Scattering Medium (1995)

Van Rossum, Mark, Nieuwenhuizen, Th.M

The distributions of the angular transmission coefficient and of the total transmission are calculated for multiple scattered waves. The calculation is based on a mapping to the known distrribution...

Intensity Distributions of Waves Transmitted through a Multiple Scattering Medium (1995)

Van Rossum, Mark, Nieuwenhuizen, Th.M

The distributions of the angular transmission coefficient and of the total transmission are calculated for multiple scattered waves. The calculation is based on a mapping to the known distrribution...

Third cumulant of the total transmission of diffuse waves (1995)

Van Rossum, Mark, De Boer, Johannes, Nieuwenhuizen, Th.M

The probability distibution of the total transmission is studied for waves multiply scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulants...

Third cumulant of the total transmission of diffuse waves (1995)

Van Rossum, Mark, De Boer, Johannes, Nieuwenhuizen, Th.M

The probability distibution of the total transmission is studied for waves multiply scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulants...

Third Cumulant of the total Transmission of diffuse Waves (1994)

De Boer, Johannes F., Nieuwenhuizen, Th. M.

The probability distribution of the total transmission is studied for waves multiple scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulant...

"Optical conductance fluctuations: diagrammatic analysis in Landauer approach and non-universal effects" (1994)

Nieuwenhuizen, Th. M., Vlaming, R.

The optical conductance of a multiple scattering medium is the total transmitted light of a diffuse incoming beam. This quantity, very analogous to the electronic conductance, exhibits universal...

Quantum description of spherical spins (1994)

Nieuwenhuizen, Th. M.

The spherical model for spins describes ferromagnetic phase transitions well, but it fails at low temperatures. A quantum version of the spherical model is proposed. It does not induce qualitative...

Exactly solvable model of a quantum spin glass (1994)

Nieuwenhuizen, Th. M.

A mean field spherical model with random couplings between pairs, quartets, and possibly higher multiplets of spins is considered. It has the same critical behavior as the Sherrington-Kirkpatrick...

Density of states of disordered systems (1994)

Van Rossum, Mark, Nieuwenhuizen, Th.M, Hofstetter, E, Schreiber, M

Density of states calculations for the tight-binding model with diagonal disorder are presented. An instanton approach is used to calculate the tails of the spectrum, including all prefactors. It is...

Density of states of disordered systems (1994)

Van Rossum, Mark, Nieuwenhuizen, Th.M, Hofstetter, E, Schreiber, M

Density of states calculations for the tight-binding model with diagonal disorder are presented. An instanton approach is used to calculate the tails of the spectrum, including all prefactors. It is...

Intensity Distribution of Waves Transmitted Through a Multiple Scattering Medium (1994)

Nieuwenhuizen, Th. M.

The distributions of the angular transmission coefficient and of the total transmission are calculated for multiple scattered waves. The calculation is based on a mapping to the distribution of...

Objections to Handel's quantum theory of 1/f noise (1987)

Nieuwenhuizen, Th.M., Frenkel, D., Kampen, N.G.

A quantum theory of quantum 1/f noise was proposed by Handel in 1975. It relates 1/f noise in currents to infrared divergences in cross sections due to, e.g., soft-photon emission. We state a number...

THE QUASI-CRYSTALLINE QUANTUM SPIN-½ XY-CHAIN (1986)

Nieuwenhuizen, Th. M.

The quantum spin-½ chain with "quasicrystalline" couplings in the XY-plane and a steady magnetic field in the Z-direction is studied. The zero-temperature magnetization is a Cantor-function. The...

THE QUASI-CRYSTALLINE QUANTUM SPIN-½ XY-CHAIN (1986)

Nieuwenhuizen, Th. M.

The quantum spin-½ chain with "quasicrystalline" couplings in the XY-plane and a steady magnetic field in the Z-direction is studied. The zero-temperature magnetization is a Cantor-function. The...

THE QUASI-CRYSTALLINE QUANTUM SPIN-½ XY-CHAIN (1986)

Nieuwenhuizen, Th. M.

The quantum spin-½ chain with "quasicrystalline" couplings in the XY-plane and a steady magnetic field in the Z-direction is studied. The zero-temperature magnetization is a Cantor-function. The...

Exactly soluble diluted random one-dimensional lattices (1984)

Nieuwenhuizen, Th.M.

Exact solutions for the characteristic function, which determines the density of states and inverse localization length, and one-particle Green function are presented for a class of lattice models...

Exact solutions for spectra and Green's functions in random one-dimensional systems (1984)

Nieuwenhuizen, Th.M.

For chains of harmonic oscillators with random masses a set of equations is derived, which determine the spatial Fourier components of the average one-particle Green's function. These equations are...