Course Identification

Non-Equilibrium Continuum Physics
20231142

Lecturers and Teaching Assistants

Prof. Eran Bouchbinder
Roy Wexler, Dr. Avraham Moriel

Course Schedule and Location

2023
Second Semester
Tuesday, 11:15 - 13:00, Weissman, Seminar Rm A
Wednesday, 11:15 - 13:00, Weissman, Seminar Rm A
19/04/2023
21/07/2023

Field of Study, Course Type and Credit Points

Physical Sciences: Lecture; Elective; Regular; 4.00 points
Chemical Sciences: Lecture; Elective; Regular; 4.00 points

Comments

A minimum number of students might be required. Basic knowledge of statistical thermodynamics, vector calculus, partial differential equations, dynamical systems and complex variables analysis is required.
The first lecture will be held on 19/04, consisting of a one-hour lecture followed by a one-hour tutorial.

Prerequisites

Basic knowledge of statistical thermodynamics, vector calculus, differential equations and complex analysis is required.

Restrictions

40

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

40%
60%

Evaluation Type

Examination

Scheduled date 1

03/08/2023
Weissman, Seminar Rm A
1000-
N/A

Scheduled date 2

27/08/2023
Weissman, Seminar Rm A
1000-
N/A

Estimated Weekly Independent Workload (in hours)

6

Syllabus

General Principles and Concepts

1. Introduction: background and motivation

2. Mathematical preliminaries: tensor analysis

3. Motion, deformation and stress

4. Conservation laws, the laws of thermodynamics and objectivity

Constitutive laws: the physics that comes after thermodynamics

5. Reversible Processes: Non-dissipative Constitutive Behaviors

-Linear elasticity and thermo-elasticity
-Finite (nonlinear) elasticity
-Instabilities

6. Irreversible processes: Dissipative constitutive behaviors

-Visco-elasticity
-Plasticity
-Non-equilibrium internal variables thermodynamics
Amorphous solids

7. The emergence of solidity and the glass transition puzzle

Dissipative Phenomena in Solids

8. Fracture mechanics

9. Point defects and dislocations

The power of field theory as a mathematical structure that does not make direct reference to microscopic length scales well below those of the phenomenon of interest will be highlighted.

Together with courses on fluid mechanics and soft condensed matter, a broad background and understanding of continuum physics will be established.

Learning Outcomes

Upon successful completion of this course students will:

[1] Understand the essentials of modern continuum physics, with a focus on solid mechanics and within a thermodynamic perspective, and to formulate physical problems within this framework.

[2] Be acquainted with general concepts and principles and will be exposed to examples that cover a wide range of physical phenomena and applications in diverse disciplines.

[3] Be able to use the concepts and tooled introduced in the course in their future studies and research in a broad range of scientific fields.

Reading List

Extended lecture notes (book draft) will be weekly distributed. They can be downloaded from the course website:

http://www.weizmann.ac.il/chemphys/bouchbinder/courses-0

Website