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These lectures introduce the basic ideas and practices of statistical analysis for particle physicists, using a real-world example to illustrate how the abstractions on which statistics is based are translated into practical application.

数据分析、统计与概率 · 物理学 2016-08-11 Harrison B. Prosper

Differentiable physics provides a new approach for modeling and understanding the physical systems by pairing the new technology of differentiable programming with classical numerical methods for physical simulation. We survey the rapidly…

机器学习 · 计算机科学 2021-09-17 Bharath Ramsundar , Dilip Krishnamurthy , Venkatasubramanian Viswanathan

We show how the Legendre transforms of the fundamental thermodynamic relation can be used to introduce different statistical ensembles.

统计力学 · 物理学 2014-10-16 S. Stepanow

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic…

统计金融 · 定量金融 2011-05-26 H. Quevedo , M. N. Quevedo

A new approach based on a statistical operator is presented, which allows to take into account the inhomogeneous particle distribution induced by gravitational interaction. This method uses the saddle point procedure to find the dominant…

综合物理 · 物理学 2020-10-20 B. I. Lev

This is a report of a course on modern physics designed and taught to undergraduate science and engineering students in the Spring of 2013. The course, meant for freshmen, attempts to integrate statistical mechanics into non-classical…

物理教育 · 物理学 2013-08-21 Muhammad Sabieh Anwar

This Resource Letter draws on discipline-based education research from physics, chemistry, and biology to collect literature on the teaching of thermodynamics and statistical mechanics in the three disciplines. While the overlap among the…

物理教育 · 物理学 2014-12-23 Benjamin W. Dreyfus , Benjamin D. Geller , David E. Meltzer , Vashti Sawtelle

The use of simulation-based methods for introducing inference is growing in popularity for the Stat 101 course, due in part to increasing evidence of the methods ability to improve students' statistical thinking. This impact comes from…

其他统计学 · 统计学 2015-08-04 Nathan Tintle , Beth Chance , George Cobb , Soma Roy , Todd Swanson , Jill VanderStoep

Thermodynamics of trajectories promises to make possible the thorough analysis of the dynamical properties of an open quantum system, a sought-after goal in modern physics. Unfortunately, calculation of the relevant quantities presents…

量子物理 · 物理学 2016-06-14 Simon Pigeon , André Xuereb

The concept of temperature is one of the key ideas in describing the thermodynamical properties of a physical system. In classical statistical mechanics of ideal gases, the notion of temperature can be described in two different ways, the…

统计力学 · 物理学 2007-11-12 Krishna R. Narayanan , Arun R. Srinivasa

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

量子物理 · 物理学 2016-01-13 James Millen , André Xuereb

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. These lecture notes provide an…

量子物理 · 物理学 2026-04-17 Patrick P. Potts

The basic notions of statistical mechanics (microstates, multiplicities) are quite simple, but understanding how the second law arises from these ideas requires working with cumbersomely large numbers. To avoid getting bogged down in…

物理教育 · 物理学 2015-02-27 Thomas A. Moore , Daniel V. Schroeder

Assuming a classical statistical system of point particles the fundamental equations of continuum thermomechanics (continuity equation, equation of motion, and energy equation) shall be derived exactly. The macroscopic state functions…

统计力学 · 物理学 2010-06-03 Walter Noll

The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat,…

统计力学 · 物理学 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

In this book, we study Statistical Physics under conditions of thermodynamic equilibrium, starting from the definition of statistical ensembles. The book is divided into five chapters: First, a brief introduction to statistical methods.…

统计力学 · 物理学 2024-03-12 David A. Miranda , Carlos J. Paéz

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

统计力学 · 物理学 2016-10-05 P. E. G. Assis

Providing students of introductory thermal physics with a plot of the heat capacities of many low density gases as a function of temperature allows them to look for systematic trends. Specifically, large amounts of heat capacity data allow…

物理教育 · 物理学 2023-08-08 J. D. D. Martin

The methods of statistical mechanics are applied to two-dimensional foams under macroscopic agitation. A new variable -- the total cell curvature -- is introduced, which plays the role of energy in conventional statistical thermodynamics.…

软凝聚态物质 · 物理学 2011-11-10 Marc Durand

Thermally activated processes are key to understanding the dynamics of physical systems. Thermal diffusion of (quasi-)particles for instance not only yields information on transport and dissipation processes but is also an exponentially…