Search results for "Canon"
showing 10 items of 446 documents
Interaction between strong radiation fields and two-level atoms: A canonical transformation approach
2008
A Tutorial Approach to the Renormalization Group and the Smooth Feshbach Map
2006
2.1 Relative Bounds on the Interaction . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The Feshbach Map and Pull-Through Formula . . . . . . . . . . . . . . . . . 4 2.3 Elimination of High-Energy Degrees of Freedom . . . . . . . . . . . . . . . . 5 2.4 Normal form of Hamiltonians . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 Banach Space of Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.6 The Renormalization Map Rρ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Free-energy barriers for crystal nucleation from fluid phases.
2017
Monte Carlo simulations of crystal nuclei coexisting with the fluid phase in thermal equilibrium in finite volumes are presented and analyzed, for fluid densities from dense melts to the vapor. Generalizing the lever-rule for two-phase coexistence in the canonical ensemble to finite volume, "measurements" of the nucleus volume together with the pressure and chemical potential of the surrounding fluid allows to extract the surface free energy of the nucleus. Neither the knowledge of the (in general non-spherical) nucleus shape nor of the angle-dependent interface tension is required for this task. The feasibility of the approach is demonstrated for a variant of the Asakura-Oosawa model for c…
Obtaining the Weyl tensor from the Bel-Robinson tensor
2010
The algebraic study of the Bel-Robinson tensor proposed and initiated in a previous work (Gen. Relativ. Gravit. {\bf 41}, see ref [11]) is achieved. The canonical form of the different algebraic types is obtained in terms of Bel-Robinson eigen-tensors. An algorithmic determination of the Weyl tensor from the Bel-Robinson tensor is presented.
Metastability of Traffic Flow in Zero-Range Model
2007
The development of traffic jams in vehicular flow is an everyday example of the occurence of phase separation in low-dimensional driven systems, a topic which has attracted much recent interest [1–4]. In [5] the existence of phase separation is related to the size-dependence of domain currents and a quantitative criterion is obtained by considering the zero-range process (ZRP) as a generic model for domain dynamics. We use zero-range picture to study the phase separation in traffic flow in the spirit of the probabilistic (master equation) description of transportation [6]. Significantly, we find [7] that prior to condensation studied in previous works [8, 9] the system can exist in a homoge…
Grand canonical ensemble approach to electrochemical thermodynamics, kinetics, and model Hamiltonians
2021
The unique feature of electrochemistry is the ability to control reaction thermodynamics and kinetics by the application of electrode potential. Recently, theoretical methods and computational approaches within the grand canonical ensemble (GCE) have enabled to explicitly include and control the electrode potential in first principles calculations. In this review, recent advances and future promises of GCE density functional theory and rate theory are discussed. Particular focus is devoted to considering how the GCE methods either by themselves or combined with model Hamiltonians can be used to address intricate phenomena such as solvent/electrolyte effects and nuclear quantum effects to pr…
Time-Independent Canonical Perturbation Theory
2001
First we consider the perturbation calculation only to first order, limiting ourselves to only one degree of freedom. Furthermore, the system is to be conservative, ∂ H∕∂ t = 0, and periodic in both the unperturbed and perturbed case. In addition to periodicity, we shall require the Hamilton–Jacobi equation to be separable for the unperturbed situation. The unperturbed problem H0(J0) which is described by the action-angle variables J0 and w0 will be assumed to be solved. Thus we have, for the unperturbed frequency: $$\displaystyle{ \nu _{0} = \frac{\partial H_{0}} {\partial J_{0}} }$$ (10.1) and $$\displaystyle{ w_{0} =\nu _{0}t +\beta _{0}\;. }$$ (10.2) Then the new Hamiltonian reads, up t…
Sine-Gordon Statistical Mechanics
1984
The Classical partition-function $$ Z = \int {D\Pi {\text{ }}D\phi {\text{ }}\exp - } \beta H\left[ \phi \right]$$ (1) in which \( {\beta ^{{ - 1}}} = {k_{B}}T{\text{ and }}H\left[ \phi \right]\) is the sine-Gordon (s-G) Hamiltonian $$ H\left[ \phi \right] = {\Upsilon _{0}}^{{ - 1}}\int {\left[ {\frac{1}{2}{\Upsilon _{0}}^{2}{\Pi ^{2}} + \frac{1}{2}{\phi _{z}}^{2} + {m^{2}}\left( {1 - \cos \phi } \right)} \right]} dz $$ (2) has been evaluated by transfer integral methods [1,2].
Dertonen Beatificationis, & Canonizationis san. mem. Pij Papae V
La leyenda troyana en la Antigüedad Tardía. Una aproximación a los poemas de Dioscoro de Afrodito = The Trojan Legend in Late Antiquity. An Approach …
2017
La leyenda troyana se configura como relato literario a lo largo de la Antigüedad expandiendo y modificando los diferentes episodios que la componen. El estudio de la utilización de la leyenda en los poemas conservados del puño y letra de Dioscoro de Afrodito, autor del siglo VI, nos permiten aproximarnos a la evolución y configuración del canon troyano, así como a las obras clásicas todavía disponibles en su época y al resto de fuentes que le sirvieron como modelo para sus composiciones.The Trojan legend becomes a literary narrative throughout Antiquity expanding and modifying its different episodes. The study of this legend in Dioscorus of Aphrodito’s autograph poems (from 6th century BC)…