Statistical Physics of Fields
暫譯: 場的統計物理學

Mehran Kardar

  • 出版商: Cambridge
  • 出版日期: 2007-06-07
  • 售價: $4,490
  • 貴賓價: 9.5$4,265
  • 語言: 英文
  • 頁數: 370
  • 裝訂: Hardcover
  • ISBN: 052187341X
  • ISBN-13: 9780521873413
  • 相關分類: 物理學 Physics
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.

商品描述(中文翻譯)

雖然許多科學家對分形(fractals)相當熟悉,但對於其形狀普遍性背後的尺度不變性(scale-invariance)和普遍性(universality)了解的人則較少。這些特性可能源自於簡單基本組成部分的集體行為,並透過統計場理論(statistical field theories)進行研究。初始章節將在伴隨卷中發展的粒子觀點與此處研究的粗粒化統計場相連接。這本教科書基於Kardar教授在麻省理工學院(MIT)教授的課程,展示了這些理論是如何被構建和研究的。使用擾動理論(perturbation theory)、精確解(exact solutions)、重整化群(renormalization groups)及其他工具來展示尺度不變性和普遍性的出現,並討論隨機媒介中界面和定向路徑的非平衡動力學(non-equilibrium dynamics)。本書非常適合進階研究生的統計物理課程,包含一套綜合問題,書末提供部分問題的解答,完整解答集可在 www.cambridge.org/9780521873413 獲得。