We examine three Monte Carlo sampling methods on idealized examples. Implementing the Metropolis algorithm on created functions, we compare the single temperature to four temperatures running in parallel. Using simulated annealing and parallel tempering on the traveling salesman problem, we examine what each of the methods is capable of exploring. We focus specifically on parallel tempering’s a...

I discuss optimized data analysis and Monte Carlo methods. Reweighting methods are discussed through examples, like Lee-Yang zeroes in the Ising model and the absence of deconfinement in QCD. I discuss reweighted data analysis and multi-hystogramming. I introduce Simulated Tempering, and as an example its application to the Random Field Ising Model. I illustrate Parallel Tempering, and discuss ...

This paper addresses issues related to weights and acceptance ratios in generalized ensemble simulation (GES), while comparing two algorithms of GES: serial (e.g., simulated tempering) and parallel (e.g., parallel tempering or replica exchange). We derive a cumulant approximation formula for optimal weights in the serial GES and discuss its effectiveness in practical applications. We compare th...

We review a selection of methods for performing enhanced sampling in 1 molecular dynamics simulations. We consider methods based on collective variable biasing 2 and on tempering, and offer both historical and contemporary perspectives. In collective3 variable biasing, we first discuss methods stemming from thermodynamic integration that 4 use mean force biasing, including the adaptive biasing ...

The present paper investigates the effects of tempering power law kernel moving average representation a fractional Brownian motion (fBm) on some local and global properties this Gaussian stochastic process. Tempered (TFBM) tempered second kind (TFBMII) are processes that considered in order to investigate role tempering. Tempering does not change fBm including sample paths p-variation, but it ...

The aim of the present study was to investigate the effect of quenching and tempering temperatures on the microstructure, mechanical properties and the wear characteristics of medium carbon-high chromium wear resistant steel. In addition, the dominant wear mechanisms were studied. For this purpose, austenitizing and tempering temperatures were selected in the ranges of 900- 1000 °C and 300- 500...

Intermittent drying is a satisfactory technique for drying of heat sensitive grains especially rough rice. This method consists of two separate stages applied intermittently: drying and tempering. In this work, intermittent drying of rough rice is investigated both theoretically and experimentally. In order to characterize this process; a multi-scale model consisting of macroscopic and microsco...