搜索结果: 1-11 共查到“数理逻辑与数学基础 Field”相关记录11条 . 查询时间(0.391 秒)
A phase field model for liquid-vapour phase transitions
Liquid-Vapour Phase Transitions Critical point
2011/1/21
We propose a model describing the liquid-vapour phase transition according to a phase- eld approach. The model takes up the setting proposed in [1], where a phase eld ' is introduced whose equilibriu...
Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
extensions $\kp$-adic field
2010/11/8
We deduce a formula enumerating the isomorphism classes of extensions of a $\kp$-adic field $K$ with given ramification $e$ and inertia $f$. The formula follows from a simple group-theoretic lemma, pl...
Biharmonic submanifolds with parallel mean curvature vector field in spheres
Biharmonic submanifolds parallel mean curvature vector field
2010/11/12
We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean cur...
A time-dependent Poisson random field model for polymorphism within and between two related biological species
A time-dependent Poisson random field model polymorphism biological species
2010/11/12
We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium ...
From Quantum Mechanics to Quantum Field Theory: The Hopf route
Quantum Mechanics Quantum Field Theory
2010/11/9
We show that the combinatorial numbers known as {\em Bell numbers} are generic in quantum physics. This is because they arise in the procedure known as {\em Normal ordering} of bosons, a procedure wh...
Symmetric Criticality in Classical Field Theory
Symmetric Criticality Classical Field Theory
2010/11/22
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symme...
Mean field limit of a continuous time finite state game
Mean field limit continuous time finite state game
2010/11/19
Mean field games is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational agent...
Field theory of massive and massless vector particles in the Duffin-Kemmer-Petiau formalism
Field theory of massive massless vector particles Duffin-Kemmer-Petiau formalism
2010/12/16
Field theory of massive and massless vector particles is consid-ered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical components.
Interaction and chaotic dynamics of the classical hydrogen atom in an electromagnetic field
classical hydrogen atom electromagnetic field angular momentum
2010/4/1
Expressions for energy and angular momentum changes of the hydrogen atom due to interaction with the electromagnetic field during the period of the electron motion in the Coulomb field are derived. It...
Dynamical aspects of mean field plane rotators and the Kuramoto model
Synchronization Kuramoto model (ir)reversibility mean field Spin XY model spectral gap inequality
2010/4/8
The Kuramoto model has been introduced in order to describe synchronization phenomena observed in groups of cells, individuals, circuits, etc... We look at the Kuramoto model with white noise forces: ...
A mixed mean-field/BCS phase with an energy gap at high $T_c$
mixed mean-field/BCS phase energy gap
2010/11/1
We construct a pair potential which in a scaling limit leads to a Hamiltonian that generates co-existing mean-field and superconducting phases. Depending on the relative values of the coupling constan...