Hamilton dynamics for Lefschetz-thimble integration akin to the complex Langevin method

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Cayley - Hamilton Theorem via Complex Integration

Let f be an analytic function on the plane and A a square matrix of order n whose eigenvalues are contained in the interior of a circle K centered at the origin. The expression f(A) = fKf(z)(z-A)-dz has been widely used to calculate (or define) the value of f at A. A special case of this formula provides us with a trivial proof of the Cayley-Hamilton theorem. We need only the most elementary no...

متن کامل

The complex chemical Langevin equation.

The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite time due to the problem of evaluating square roots of negative quantities whenever the molecule numbers become sufficiently small. We show that this issue is not a numerical integration problem, rather in many systems i...

متن کامل

Langevin Approach to Nuclear Dissipative Dynamics

Langevin approach is proposed as an intuitive phenomenological framework to describe nuclear dissipative phenomena such as heavy ion reactions and fission decay. We present a method to integrate Langevin equation directly with the computer-simulated langevin force. Examples are given for a free motion of Brownian particle and for nuclear fission as a diffusion over a barrier.

متن کامل

Consistency and fluctuations for stochastic gradient Langevin dynamics Consistency and fluctuations for stochastic gradient Langevin dynamics

Applying standard Markov chain Monte Carlo (MCMC) algorithms to large data sets is computationally expensive. Both the calculation of the acceptance probability and the creation of informed proposals usually require an iteration through the whole data set. The recently proposed stochastic gradient Langevin dynamics (SGLD) method circumvents this problem by generating proposals which are only ba...

متن کامل

Effective action method for the Langevin equation.

In this paper we present a formulation of the nonlinear stochastic differential equation which allows for systematic approximations. The method is not restricted to the asymptotic, i.e., stationary, regime but can be applied to derive effective equations describing the relaxation of the system from arbitrary initial conditions. The basic idea is to reduce the nonlinear Langevin equation to an e...

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

ژورنال

عنوان ژورنال: Progress of Theoretical and Experimental Physics

سال: 2015

ISSN: 2050-3911

DOI: 10.1093/ptep/ptv152