Physics 115/242 Monte Carlo simulations in Statistical Physics

نویسنده

  • Peter Young
چکیده

In equilibrium statistical physics (often called “statistical mechanics”) we consider the behavior of a system in equilibrium with its surroundings (a “heatbath”). The energy of the system is not exactly fixed because it can exchange energy with the bath, and the state of the system is not fixed. Statistical mechanics tells us that the system has a certain probability that the system can be in any of the states. The probability of being in state |n〉 with energy En is given by the “Boltzmann distribution”

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

Monte Carlo calculation of proton ranges in water phantom for therapeutic energies

Introduction: One crucial point when calculating the distribution of doses with ions is the uncertainty of the Bragg peak. The proton ranges in determined geometries like homogeneous phantoms and detector geometries can be calculated with a number of various parameterization models. Several different parameterizations of the range-energy relationship exist, with different level...

متن کامل

A method for range calculation of proton in liquid water: Validation study using Monte Carlo method and NIST data

Introduction: The main advantage of using ion beams over photons in radiotherapy is due to their inverse depth-dose profiles, allowing higher doses to tumors, while better sparing normal tissues. When calculating dose distributions with ion beams, one crucial point is the uncertainty of the Bragg-peak range. Recently great effort is devoted to enhance the accuracy of the comput...

متن کامل

Evaluation of dose distribution of 12C ion beam in radiotherapy by FLUKA as a Monte Carlo simulation Code

Introduction: Nowadays, the use of heavy ion beams in cancer therapy have been developed worldwide.   Materials and Methods: It requires accurate understanding of the complex processes of ion interaction with matter, as it is the calculation the relative dose & range of these ions in matter. In the present study we used FLUKA as a numerical Monte Carlo simula...

متن کامل

Statistical uncertainty estimation in the calculation of the proton range in water phantom.

Introduction: GATE (Geant4 Application for Tomographic Emission) is a Monte Carlo simulation platform developed by the OpenGATE collaboration since 2001 and first publicly released in 2004. In Geant4, each physics process is described by a model (several models are sometimes available for a given physics process) and a corresponding cross-section table. All Geant4 physics model...

متن کامل

Secondary Particles Produced by Hadron Therapy

Introduction Use of hadron therapy as an advanced radiotherapy technique is increasing. In this method, secondary particles are produced through primary beam interactions with the beam-transport system and the patient’s body. In this study, Monte Carlo simulations were employed to determine the dose of produced secondary particles, particularly neutrons during treatment. Materials and Methods I...

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 2013