Genesis of the Monte Carlo Algorithm for Statistical Mechanics

نویسندگان

  • Marshall N. Rosenbluth
  • John von Neumann
  • Herman Goldstein
  • Julian Bigelow
چکیده

(June 2, 2003) I fear that 50 years is a bit long for expecting much from the originators of the rst applications of a technique. Mici Teller and Nick Metropolis are dead. Edward Teller and Arianna Rosenbluth are too in rm to travel. It is not easy for me either, but in the hope of learning something about the last 50 years of progress from our crude beginnings, I am glad to be here, and I will try to give you my subjective history of the development and motivations of the rst papers on the topic. The period 1949-1952 here at Los Alamos 50 years ago was of course a time of great excitement as the successful concept for a hydrogen bomb had been proposed by Teller, and was being eshed out by the members of the small theory group. We worked 60 hours or more per week trying to understand the physics of the interactions of radiation and matter under these extreme conditions, and how the explosion/implosion/ explosion would evolve. A key issue was of course the equation of state which was the origin of my interest in the subject. At this time the rst electronic computers were just coming into being, and until the end of 51 the work was mainly analytic, supplemented by some implosion codes on the punchcard IBM machines. Nonetheless by this time our crude results, supplemented by the successful Greenhouse tests, led to a high degree of con dence that the Mike shot in Nov.52, the rst HBomb, would succeed, in fact was quite overdesigned. Still as the new computers nally came on line it was obviously necessary to do the most detailed possible calculations .For the next few months my rst wife, Arianna, and I devoted ourselves to this task and she in particular became one of the rst and most skillful adepts at this new game. Let me recall the state of computers in those days. The driving force in the US was of

برای دانلود رایگان 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

Presenting a New Algorithm for Determining Optimal Replaceable Capacity of Conventional Power Plants by Renewable Power Plants Based on Monte Carlo Method

Given the substitution process of generators using renewable energy sources instead of conventional generators in modern power systems, this paper proposes a Monte Carlo based method to determine an optimal level of this change. At first, LOLE index of the system was calculated without wind power to obtain the reference index. Then, the wind turbine units are replaced with the conventional gene...

متن کامل

Efficient Monte Carlo Simulation Methods in Statistical Physics

The basic problem in equilibrium statistical mechanics is to compute phase space average, in which Monte Carlo method plays a very important role. We begin with a review of nonlocal algorithms for Markov chain Monte Carlo simulation in statistical physics. We discuss their advantages, applications, and some challenge problems which are still awaiting for better solutions. We discuss some of the...

متن کامل

ar X iv : c on d - m at / 9 51 00 82 v 1 1 4 O ct 1 99 5 CLUSTER MONTE CARLO ALGORITHMS AND THEIR APPLICATIONS

We review the background of the cluster algorithms in Monte Carlo simulation of statistical physics problems. One of the first such successful algorithm was developed by Swendsen and Wang eight years ago. In contrast to the local algorithms, cluster algorithms update dynamical variables in a global fashion. Therefore, large changes are made in a single step. The method is very efficient, especi...

متن کامل

Statistical Error in

We present predictions for the statistical error due to nite sampling in the presence of thermal uctuations in molecular simulation algorithms. The expressions are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the owweld scales as the inverse square of the Mach number. Agreement of the theory with direct Monte Carlo sim...

متن کامل

Quantum algorithm for exact Monte Carlo sampling.

We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics systems. The algorithm is based on recently developed exact Monte Carlo sampling methods, and yields a polynomial gain compared to classical procedures.

متن کامل

Algorithm for Computing Excited States in Quantum Theory

Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in the conventional approach, it is extremely difficult to compute the excited states. Here we present a different algorithm: the Monte Carlo Hamiltonian method, designed to overcome the difficulties of the conventional approach. As a new example, applicat...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003