{"product_id":"9783030111564","title":"SISSA Springer Series","description":"\u003ch1\u003eSISSA Springer Series\u003c\/h1\u003e \u003ch2\u003ePodio-Guidugli, Paolo\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cp\u003eThis book deals with an important topic in rational continuum physics, thermodynamics.Although slim, it is fairly well self-contained; some basic notions in continuum mechanics, which a well-intentioned reader should but may not be familiar with, are collected in a final appendix.\u003c\/p\u003e\n\n\u003cp\u003eModern continuum thermodynamics is a field theory devised to handle a large class of processes that typically are neither spatially homogeneous nor sequences of equilibrium states. The most basic chapter addresses the continuum theory of \u003ci\u003eheat conduction\u003c\/i\u003e, in which the constitutive laws furnish a mathematical characterization of the macroscopic manifestations of those fluctuations in position and velocity of the microscopic matter constituents that statistical thermodynamics considers collectively. In addition to a nonstandard exposition of the conceptual steps leading to the classical heat equation, the crucial assumption that energy and entropy inflows should be proportional is discussed and a hyperbolic version of that prototypical parabolic PDE is presented. \u003ci\u003eThermomechanics\u003c\/i\u003e comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a \u003ci\u003evirtual power format for thermomechanics\u003c\/i\u003e is proposed, whose formulation requires that temperature is regarded formally as the time derivative of \u003ci\u003ethermal displacement\u003c\/i\u003e. It is shown that this format permits an alternative formulation of the theory of heat conduction, and a physical interpretation of the notion of thermal displacement is given.\u003c\/p\u003e\n\u003cp\u003eIt is addressed to mathematical modelers – or mathematical modelers to be – of continuous material bodies, be they mathematicians, physicists, or mathematically versed engineers.\u003c\/p\u003e\n\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2019-03-19\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030111564\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-11157-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 76\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44522909696140,"sku":"9783030111564","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030111564.jpg?v=1776027372","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030111564","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}