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Matlab模拟布朗运动

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Matlab模拟布朗运动

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收录于合集 #物理应用matlab源码 38个

1 简介

利用matlab工具模拟了布朗运动测量的实验。通过一正态随机数产生函数模拟从而产生布朗运动步距。在假定粒子所受拖曳力满足斯托克斯关系的情况下,通过拟合多个粒子的均方位移随时间的变化曲线得到斜率,从而进一步可得出扩散系数和波尔兹曼常数。同时,根据模拟结果也对如何减小实验误差作了分析。

2 完整代码

function varargout = bulang(varargin) % BULANG M-file for bulang.fig % BULANG, by itself, creates a new BULANG or raises the existing % singleton*. % % H = BULANG returns the handle to a new BULANG or the handle to % the existing singleton*. % % BULANG( ’CALLBACK’ ,hObject,eventData,handles,...) calls the local % function named CALLBACK in BULANG.M with the given input arguments. % % BULANG( ’Property’ , ’Value’ ,...) creates a new BULANG or raises the % existing singleton*. Starting from the left, property value pairs are % applied to the GUI before bulang_OpeningFcn gets called. An % unrecognized property name or invalid value makes property application % stop. All inputs are passed to bulang_OpeningFcn via varargin. % % *See GUI Options on GUIDE ’s Tools menu. Choose "GUI allows only one % instance to run (singleton)". % % See also: GUIDE, GUIDATA, GUIHANDLES % Edit the above text to modify the response to help bulang % Last Modified by GUIDE v2.5 13-Sep-2021 13:42:21 % Begin initialization code - DO NOT EDIT gui_Singleton = 1; gui_State = struct(’gui_Name’, mfilename, ... ’gui_Singleton’, gui_Singleton, ... ’gui_OpeningFcn’, @bulang_OpeningFcn, ... ’gui_OutputFcn’, @bulang_OutputFcn, ... ’gui_LayoutFcn’, [] , ... ’gui_Callback’, []); if nargin && ischar(varargin{1}) gui_State.gui_Callback = str2func(varargin{1}); end if nargout [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:}); else gui_mainfcn(gui_State, varargin{:}); end % End initialization code - DO NOT EDIT % --- Executes just before bulang is made visible. function bulang_OpeningFcn(hObject, eventdata, handles, varargin) % This function has no output args, see OutputFcn. % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % varargin command line arguments to bulang (see VARARGIN) % Choose default command line output for bulang handles.output = hObject; % Update handles structure guidata(hObject, handles); % UIWAIT makes bulang wait for user response (see UIRESUME) % uiwait(handles.figure1); % --- Outputs from this function are returned to the command line. function varargout = bulang_OutputFcn(hObject, eventdata, handles) % varargout cell array for returning output args (see VARARGOUT); % hObject handle to figure % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Get default command line output from handles structure varargout{1} = handles.output; function edit1_Callback(hObject, eventdata, handles) % hObject handle to edit1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) % Hints: get(hObject,’ String ’) returns contents of edit1 as text % str2double(get(hObject,’ String ’)) returns contents of edit1 as a double global k; k=str2double(get(hObject,’string’)); % --- Executes during object creation, after setting all properties. function edit1_CreateFcn(hObject, eventdata, handles) % hObject handle to edit1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles empty - handles not created until after all CreateFcns called % Hint: edit controls usually have a white background on Windows. % See ISPC and COMPUTER. if ispc && isequal(get(hObject,’BackgroundColor’), get(0,’defaultUicontrolBackgroundColor’)) set(hObject,’BackgroundColor’,’white’); end % --- Executes on button press in pushbutton1. function pushbutton1_Callback(hObject, eventdata, handles) % hObject handle to pushbutton1 (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) axes(handles.axes1); global k; n=50; x=rand(n,1)-0.5; y=rand(n,1)-0.5; h=plot(x,y,’.’); axis([-1 1 -1 1]); axis square; grid off; set(h,’EraseMode’,’Xor’,’MarkerSize’,24); if k>=0; for i=linspace(1,10,10000) drawnow x=x+k/10000.*randn(n,1); y=y+k/10000.*randn(n,1); set(h,’xdata’,x,’ydata’,y); end else input(’Error’); end % -------------------------------------------------------------------- function Quit_Callback(hObject, eventdata, handles) % hObject handle to Quit (see GCBO) % eventdata reserved - to be defined in a future version of MATLAB % handles structure with handles and user data (see GUIDATA) close

3 仿真结果

4 参考文献

[1]冉诗勇. 利用Matlab模拟布朗运动测量实验[J]. 大学物理实验, 2011, 24(6):4.

博主简介:擅长智能优化算法、神经网络预测、信号处理、元胞自动机、图像处理、路径规划、无人机等多种领域的Matlab仿真,相关matlab代码问题可私信交流。

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