Zhe Wang

11 Questions 24 Answers 0 Followers

Questions related from Zhe Wang

Fokker-Plack equation for marginal probability distribution?

Given a two-dimensional Ito stochastic equations \begin{align} \mathrm{d} x &= \mu_1(x,y) \mathrm{d} t + \sigma_{11}(x,y) \mathrm{d} W_1 + \sigma_{12}(x,y) \mathrm{d} W_2, \\ \mathrm{d} y...

28 June 2021 3,674 2 View

Is there an underlying relationship between Kosterlitz-Thouless transition and directed percolation?

Hi, I apologize for this apparently silly question, but please, could you point me out if there is an underlying relationship between the defect driven phase transition and the directed...

10 October 2017 10,036 3 View

Is there vortex-unbinding in one dimension system?

Hi, The vortex-unbinding Kosterlitz-Thouless physics generally applies to two-dimensional systems and occasionally three dimensional solid. I was wondered if there exits an one dimensional analogy...

24 September 2017 3,593 17 View

1/r decay magnetic field?

Hi, According to the Biot-Savart law, the magnetic field of an infinite wire dies off proportional to 1/r, where r is the distance to the wire. Please, could anyone point me our if there exits any...

24 September 2017 2,038 8 View

Is the total number of vortex filaments (loops) in a flow domain conserved?

Hi, Stemming from the conservation of angular momentum, we associated the amplification/attenuation of vorticity with the stretching/compressing of a single vortex filament. But this conservative...

05 June 2017 5,111 4 View

Defining the entropy of turbulence in terms of the Reynolds number?

Hi, Let us consider a large ensemble of vortices immersed in a flow domain. The Helmholtz free energy is given by F=E-Tk F=E-Tk ln N, where k is the Boltzman constant, and W is the number of the...

01 June 2017 1,184 4 View

Exponential divergence of the correlation length in the Kosterlitz-Thouless transition?

Hi! Please, could anyone point me out an intuitive way to understand the exponential divergence of the correlation length in the KT-transition; in contrast to the usual algebraic divergence in the...

30 May 2017 7,012 20 View

On the observation of Devil's Staircases, coexistence of chaos and quasiperiodicity, and period quadrupling in Navier-Stokes equations?

Dear All, I am working on understanding the transition from laminar to turbulent behaviour in Navier-Stokes equations by the approach of dynamical systems theory. I have derived a...

04 April 2017 8,020 6 View

What is the difference between coherent structures and turbulent patches in transitional flow regime?

Hello all, I am studying the laminar-turbulent phase transition. It is well known that in pipe flows, turbulence first manifests itself in localized turbulent patches surrounded by laminar...

22 December 2016 2,471 3 View

Physical interpretation of periodic solutions with constant helicity density?

Hello, I was investigating the incompressible Navier-Stokes equations analytically and hopefully being able to extract its bifurcation characteristics. During which I obtained a set of periodic...

30 October 2016 1,166 1 View

Index variation at bifurcation points?

Dear all, I am planning to investigate laminar-turbulent phase transition in fluid dynamics via studying the bifurcation characteristics of the Navier-Stokes equation. I would like to know if...

24 October 2016 6,071 2 View