Limit Theorems for Deterministic Knudsen Ows between Two Plates

نویسنده

  • Hans Babovsky
چکیده

We investigate the model dynamics of a test particle which moves between two parallel plates and is re ected at the walls according to some deterministic periodic re ection law. For a particular continuous velocity model, a di usion limit is derived using the Markov partition approach. It is shown that at least for a large class of discrete velocity models such a limit is not possible. Numerical aspects are discussed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Aerodynamics of Two Side-by-Side Plates in Hypersonic Rarefied-Gas Flows

Hypersonic rareŽ ed-gas  ows near two side-by-side plates have been studied numerically with the direct simulationMonte Carlo technique under transitional rareŽ ed-gas- ow conditions (Knudsen numbers from 0.024 to 1.8). Strong in uences of the geometrical factor (ratio of distance between plates to plate length) and the Knudsen number on the  ow structure (the shape of shock waves, the conŽ...

متن کامل

Load Carrying Capacity of Simply Supported Variable Thickness Circular Plates

The calculation of the load carrying capacity of variable thickness circular plates subjected to arbitrary rotational symmetric loading is presented. The analysis considers plate materials that obey either the square or the Tresca yield criterion. By using upper and lower bound theorems of limit analysis, corresponding estimations for the load carrying capacity of the plate are obtained. It is ...

متن کامل

Limit Theorems for Theta Sums

For almost all values of x 2 R, the classical theta sum S N (x) = N ?1=2 N X n=1 e 2i n 2 x exhibits an extremely irregular behaviour, as N tends to innnity. This limit is investigated by exploiting a connection to the ergodic properties of ows on the unit tangent bundle of a surface of constant negative curvature.

متن کامل

The N-point Correlations between Values of a Linear Form the Number of Solutions of Simultaneous Quadratic Equations

We show that the n-point correlation function for the fractional parts of a random linear form in m variables has a limit distribution with power-like tail. The existence of the limit distribution follows from the mixing property of ows on SL(m+1; R)=SL(m+1;Z). Moreover , we prove similar limit theorems (i) for the probability to nd the fractional part of a random linear form close to zero, and...

متن کامل

A Duality Theorem for Plastic Plates

Limit analysis studies the asymptotic behavior of elastic-plastic materials and structures. The asymptotic material properties exist for a class of ductile metals and are designed into optimal structural members such as I-beams and composite plates. The analysis automatically ignores the relatively small elastic deformations. Classical lower and upper bound theorems in the form of inequalities ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995