1,721,327 research outputs found
Work probability distribution in single-molecule experiments
No full textWe derive and solve a differential equation satisfied by the
probability distribution of the work done on a single biomolecule
in a mechanical unzipping experiment. The unzipping is described
as a thermally activated escape process in an energy landscape.
The Jarzynski equality is recovered as an identity, independent
of the pulling protocol. This approach allows one to easily
evaluate, by numerical integration, the work distribution, once a
few parameters of the energy landscape are known
Statistical mechanics in a nutshell
No full textStatistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of todayStatistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems--and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics. Provides the most concise, self-contained introduction to statistical mechanics Focuses on the most promising advances, not complicated calculations Requires only elementary calculus and elementary mechanics Guides readers from the basics to the threshold of modern research Highlights the broad scope of applications of statistical mechanics
Work-probability distribution in systems driven out of equilibrium
No full textWe derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described by their microscopic state or by a collective variable which identifies a quasiequilibrium state. We show that the work probability distribution can be represented by a path integral, which is
dominated by “classical” paths in the large system size limit. We compare these results with simulated manipulation
of mean-field systems. We discuss the range of applicability of the Jarzynski equality for evaluating the system free energy using these out-of-equilibrium manipulations. Large fluctuations in the work and the shape of the work distribution tails are also discussed
MODELLI STATISTICI DI EVOLUZIONE: TEORIA DEI GIOCHI E COEVOLUZIONE VIRUS-SISTEMA IMMUNITARIO
No full text
Work distribution and path integrals in general mean-field systems
No full textWe consider a mean-field system described by a general collective variable M, driven out of equilibrium by the manipulation of a parameter μ. Given a general dynamics compatible with its equilibrium distribution, we derive the evolution equation for the joint probability distribution function of M and the work W done on the system. We solve this equation by path integrals. We show that the Jarzynski equality holds identically for these dynamics, both at the path integral level and for the classical paths which dominate the expression in the thermodynamic limit. We discuss some implications of our results
Comment on “Evolutionary dynamics of RNA-like replicator systems: A bioinformatic approach to the origin of life” by Nobuto Takeuchi and Paulien Hogeweg
No full textIt is argued that the origin of biological information can be understood as a transition from an analogue to a digital form of information handling by means of the emergence of standardized nucleic acids
- …
