Lagrangian statistical mechanics applied to non-linear stochastic field equations
نویسندگان
چکیده
منابع مشابه
Lagrangian statistical mechanics applied to non-linear stochastic field equations
Non-linear field equations such as the KPZ equation for deposition and the Navier-Stokes equation for hydrodynamics are discussed by the derivation of transport equations for the correlation function of the field h (r, t), i.e. 〈h (r, t)h (r′, t ′)〉, where h satisfies a diffusion equation driven by a noise, f , defined as noise with a given spectrum, and containing a non linear term, Mhh, which...
متن کاملLagrangian Mechanics & Field Theory
These notes were prepared as a support for a talk at the graduate workshop ”Supersymmetric Field Theories and Their Mathematical Implications” held in March 2012 at the Simons Center in Stony Brook. They are essentially cut out of [1], from which nearly all the material is taken, with a little rearrangement. To the reader looking for a richer exposition we definitely suggest the excellent sourc...
متن کاملModified homotopy method to solve non-linear integral equations
In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...
متن کاملLagrangian mechanics without ordinary differential equations
A variational proof is provided of the existence and uniqueness of evolutions of regular Lagrangian systems. Introduction Let Q be a smooth, finite dimensional manifold and L : TQ → R be a smooth Lagrangian. Evolutions of the Lagrangian system defined by L are by definition the C curves q : [0, h] → R which are critical points of the action Sh = ∫ h 0 L ◦ q(t) dt, subject to the constraint that...
متن کاملApplied Stochastic Differential Equations
Preface The purpose of these notes is to provide an introduction to to stochastic differential equations (SDEs) from applied point of view. Because the aim is in applications, much more emphasis is put into solution methods than to analysis of the theoretical properties of the equations. From pedagogical point of view the purpose of these notes is to provide an intuitive understanding in what S...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2002
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(01)00479-4